NSK Linear Guides. High-Accuracy Series

Size: px
Start display at page:

Download "NSK Linear Guides. High-Accuracy Series"

Transcription

1 NS inear Guides ig-accuracy Series Suitable for equipment ranging from macine tools to ig-precision instruments ig-performance linear guides wit premier motion accuracy Patent Pending

2 Realizing outstanding motion accuracy wit ig rigidity and load capacity ig-accuracy Series ig-performance linear guides, A ype and S ype rends toward iger performance and enanced quality of electronics equipment and precision instruments ave been accelerating. At te same time, demand as been growing for igly precise production systems tat manufacture suc equipment and instruments. NS strives to always stay aead of competition by providing te industry wit products tat keep pace wit trends and needs of te times. Part of tese products are te ig-performance linear guides, ig- Accuracy Series. e innovative design makes full use of NS s world-class proprietary tecnologies to acieve ig motion accuracy, ig rigidity and ig load capacity wile reducing frictional resistance. e ig-accuracy Series is available for macine tools suc as macining centers and ig-precision lates, as well as for ig-precision instruments for manufacturing semi-conductors and liquid crystal displays, among oter applications, all of wic are required to meet te ever-increasing demand for iger accuracy. ese linear guides are terefore well-suited for a broad variety of macinery and equipment tat are expected to deliver ig-level performance. eatures ig-performance linear guides, ig-accuracy Series ig-accuracy Series Dust proof seals igly dust-tigt end seals, bottom seals, and inner seals are built-in as standard features, facilitating long-term macining capability wit ig accuracy. ig. 1 itting positions of eac seal 1. ig motion accuracy ig motion accuracy is acieved in bot narrow and wide ranges by adopting ultra-long ball s and optimum design features for te ball recirculation component. 2. all passage vibration reduced to one-tird of our conventional models ests sow ball passage vibration as been reduced to one-tird of our conventional models, dramatically improving table straigtness. 3. Installation of rail wit greater accuracy Increased counterbore dept of te rail mounting ole reduces rail deflection, wic is caused by bolt tigtening wen fixing te rail to te base component, to 5% or less. is feature restrains te pitcing motion of ball wose frequency matces to te mounting ole pitc. In addition, te lengt of mounting ole pitc as been reduced by onealf of te conventional models, so te rail can be more accurately installed in position. Inner seals nd seals ottom seals A ype applications e A ype linear guides feature improved dust resistance and are ideal for suc macines as macining centers, ig-precision lates and grinding macines, for wic iger motion accuracy is required. In addition, tey are suitable for discarge macines because of teir low friction and ig rigidity. 4. ig rigidity and load capacity wit lower friction ig rigidity, ig load capacity and low friction are acieved by increasing te number of balls. 5. Compact design Reduced body size enables more compact macinery. able 1 xamples of ig-accuracy Series applications (based on actual results) Application Adverse effects from ball passage vibration Advantages of ig-accuracy Series Macining center, grinding macine, dicer, and slicer Coater (linear motion type) Plastics processing equipment ig-precision table Poor finis of worked surface Uneven coated surface of resist law nearly twice as large as ball diameter in pitc occurs in worked surface Deterioration in motion accuracy of table Ultra-long ball s control posture canges in bearing wic may be caused by ball passage vibration and rail waviness. Optimum design of ball recirculation components enables te ball to move smootly and restrain ball passage vibration. Deep counterbore of mounting ole for rail contributes to reducing possible rail deformation and restricting ball pitcing motion. ow friction, compact size Stainless steel models are also available In order to flexibly meet a variety of needs, stainless steel models tat are igly resistant to corrosion are also optionally available. S ype applications e S ype linear guides place special empasis on lower frictional resistance and compactness and are terefore best suited for dicers, slicers and various manufacturing devices for semi-conductors and liquid crystal displays, for wic ig-grade accurate surface finis operations are required, including measuring instruments for making igly accurate measurements. 1 2

3 ig-accuracy Series est results of ball passage vibration all passage vibration can translate into posture canges in te ball wic result from ball passage (circulation). In te ig-accuracy Series, tis vibration as been substantially reduced to one-tird of conventional models. ig rigidity and ig load capacity wit low friction Substantially increasing te number of balls in bot A ype and S ype acieves iger rigidity and load capacity as well as reduced frictional resistance, compared to our conventional models. A ype S ype Measurement point or example, compared wit A35, te following A models feature: te same dynamic load rating, at one size smaller (A3) te same rigidity, at two sizes smaller (A25) 12% iger rigidity wit one-sixt friction (A35) or example, compared wit S3, te following S models feature: te same dynamic load rating, at one size smaller (S25) te same rigidity, at tree sizes smaller (S15) 11% iger rigidity wit one-fift friction (S3) ig. 5 Comparisons of dynamic load rating ig. 8 Comparisons of dynamic load rating A ype : A3 Preload: Z3 24 A ype four ball s 5 ig. 2 Scematic view of measurement of ball passage vibration Straigtness.12 m Dynamic load rating C [N] A A One size smaller Dynamic load rating C [N] S S One size smaller able dimensions: 46mm 38mm Conventional models : A3 Preload: Z3 able dimensions: 46mm 38mm e same table is used. Conventional model eigt ball s Straigtness Strokes: 2mm Strokes: 2mm ig. 3 Measurement results of A ype and conventional models.37 m ig. 6 Comparisons of rigidity A A wo sizes smaller ig. 9 Comparisons of rigidity S S ree sizes smaller S ype S ype four ball s.12 m : S3 Preload: Z1 able dimensions: 46mm 38mm Conventional models : S3 Preload: Z1 able dimensions: 46mm 38mm e same table is used. Conventional model eigt ball s Straigtness Straigtness Strokes: 2mm Strokes: 2mm ig. 4 Measurement results of S ype and conventional models.36 m ig. 7 Comparisons of dynamic friction force and rigidity 1 6 Z3 rigidity for A Z3 dynamic friction force for A 8 Z1 rigidity for A Z1 dynamic friction force for A One-sixt of dynamic friction force wile improving 1 rigidity to 12% Dynamic friction force [N] ig. 1 Comparisons of dynamic friction force and rigidity 8 8 Z3 rigidity for S Z3 dynamic friction force for S 7 Z1 rigidity for S Z1 dynamic friction force for S 7 6 One-fift of dynamic friction force wile improving rigidity to 11% Dynamic friction force [N] 3 4

4 xtensive selection of accuracy grades Option for iger functionality ig-accuracy Series 5 Accuracy standard and preload ree accuracy grades are available: ultra super precision P3, super precision P4, and ig precision P5. Sligt preload Z1 and medium preload Z3 are available for preload, wic can be selected for specific applications. able 2 Accuracy standard unit: µm Accuracy grade Ultra super Super ig precision precision precision Items P3 P4 P5 Assembly eigt ±1 ±1 ±2 Variation of assembly eigt (All s on a pair of rails) Mounting widt 2 or 3 ±15 ±15 ±25 Variation of mounting widt 2 or (All s on datum rails) Running parallelism of face C against face A Running parallelism of face D against face able 3 Running parallelism tolerance Refer to able 3 for tolerance. See ig. 11 and ig.12. Accuracy grade otal rail lengt (mm) P3 P4 P5 Over 2 or less able 4 Preload and rigidity A ype Preload (N) Rigidity (N/µm) Sligt preload Medium preload Sligt preload Medium preload (Z1) (Z3) (Z1) (Z3) A A A A A Specification number Series code Size No. lengt, mm xample: all sape code AN: Square, A: ow square, M: lange ( 1) Material and surface treatment code C: Special ig-carbon steel : Stainless steel D: Special ig-carbon steel + Surface treatment : Stainless steel + Surface treatment unit: µm S ype S 3 1 A C ig. 11 Mounting widt ( 2 ) and running parallelism C C D D 2 ig. 12 Mounting widt ( 3 ) and running parallelism Preload (N) Rigidity (N/µm) Sligt preload Medium preload Sligt preload Medium preload (Z1) (Z3) (Z1) (Z3) S S S S S e specification number indicates main specifications troug numbers and codes. e specification number is used until te final reference number, indicated in a specification drawing, is assigned upon confirming specifications wit te user. e reference number consists of te specification code, te design serial number, and additional information as applicable. 3 No code : One rail 11 : wo rails (*2) Preload code 1: Sligt preload 2: Medium preload Accuracy grade itout 1 P3: Ultra super precision, P4: Super precision, P5: ig precision it 1 3: Ultra super precision, 4: Super precision, 5: ig precision ( 2) Design serial number Number of ball s per rail ( 1) Surface treatment is provided by low-temperature black crome plating (black surface coating by electrolytic protection against corrosion). Optional low-temperature crome plating treatment tat furter improves anticorrosion properties by means of fluorocarbon resin coating is also available. ( 2) Design serial number is appended to delivery reference number (model number), wic in turn does not reflect te final number. ong-term, maintenance-free operation e NS 1 lubrication unit can be installed to ensure long-term, maintenance-free operation. able 5 Dimensions of linear guides equipped wit NS 1 lubrication unit A ype unit: mm S ype all lengt ickness of ickness of equipped wit protection NS 1, V two NS 1, 1 cover, V 2 A A A A A V 1 V 2 V 2 V 1 ig. 13 all equipped wit NS 1 Protection cover nd seal NS 1 all lengt equipped wit NS 1 = (Standard bearing lengt) + (ickness of NS 1, V 1 Number of NS 1) + (ickness of protection cover, V 2 2) Pioneering in te industry wit super-finised ball groove feature e super-finised ball groove wit a super-precision rolling groove is also available as an option for even iger accuracy. (e super-finised ball groove can be applied for te ultra super precision P3 grade.) Precautions for proper use and andling Optional Optional alls will fall out if a bearing is removed from te rail. Also, remember te bearing may sift and fall out if te rail is tilted witout a stopper. ake appropriate safety measures against falling loads wen mounting te bearing upside down (e.g., wen using te bearing facing downward from a ceiling-mounted rail). nsure tat ambient temperature does not exceed 5 C (8 C, instantaneous) wen installing NS 1. In addition, do not allow te unit to come into contact wit degreasing organic solvents. unit: mm all lengt ickness of ickness of equipped wit protection NS 1, V two NS 1, 1 cover, V 2 S S S S S

5 Dimensions of A ype ig-accuracy Series ree A ype linear guides are available in te ig-accuracy Series: AN ype, A ype, and M ype, any of wic can be selected for specific applications. ig. 15 A ype M RO M PO 1 8-M ig. 14 AN ype 1 M RO 8-M M PO M YO G 1 n φ D 1 M YO G n ig. 16 M ype M RO M PO 1 8-M (Diameter Q2) M YO 3 2 G n 1 1 able 6 s for AN ype and A ype all dimension eigt idt engt ole position apped ole Grease nipple 2 2 M pitc Mounting ole 1 N dimension asic load rating all diameter eigt olt Maximum Dynamic Static Static moment (N m) all widt eigt pitc olt ole G lengt 1 1 d D 3 (recommended) max C (N) C (N) M RO M PO M YO D (kg) (kg/m) A25AN M M A3AN M M A35AN M M6.75 A35A A45AN M Rc1/8 A45A A55AN M Rc1/8 A55A able 7 s for M ype all dimension eigt idt engt ole position apped ole Drill ole Grease nipple 2 2 M pitc Diameter Q Mounting ole 1 N dimension asic load rating all diameter eigt olt Maximum olt ole Dynamic Static Static moment (N m) all widt eigt pitc G lengt 1 1 d D 3 (recommended) max C (N) C (N) M RO M PO M YO D (kg) (kg/m) A25M M M A3M M M A35M M M A45M M Rc1/ A55M M Rc1/

6 Dimensions of S ype ig-accuracy Series wo S ype linear guides are available in te ig-accuracy Series: A ype and M ype, any of wic can be selected for specific applications. ig. 17 A ype ig. 18 M ype MPO MPO MRO MRO 1 6-M M (Diameter Q2) MYO G 1 n MYO G 1 n able 8 s for A ype all dimension eigt idt engt ole position apped ole Grease nipple 2 2 M pitc Mounting ole 1 N dimension asic load rating all diameter eigt olt Maximum Dynamic Static Static moment (N m) all widt eigt pitc olt ole G lengt 1 1 d D 3 (recommended) max C (N) C (N) M RO M PO M YO D (kg) (kg/m) S15A M φ ( ) (1 7) S2A M M (3 5) S25A M M (3 5) S3A M M (3 5) S35A M M (3 5) able 9 s for M ype all dimension eigt idt engt ole position apped ole Drill ole Grease nipple 2 2 M pitc Diameter Q Mounting ole 1 N ( ) e standard rail mounting bolt ole for S15 is specified as te ole for M3 ( ). Please contact us to request a different ole for M4 ( ). Dimensions in parenteses apply to stainless steel models. dimension asic load rating all diameter eigt olt Maximum Dynamic Static Static moment (N m) all widt eigt pitc olt ole G lengt 1 1 d D 3 (recommended) max C (N) C (N) M RO M PO M YO D (kg) (kg/m) S15M M φ ( ) (1 7) S2M M (M ) M (3 5) S25M M (M ) (12) M (3 5) S3M M (M ) (15) M (3 5) S35M M (M ) (15) M (3 5) ( ) e standard rail mounting bolt ole for S15 is specified as te ole for M3 ( ). Please contact us to request a different ole for M4 ( ). Dimensions in parenteses apply to stainless steel models. 1

Models RSR-M, RSR-N and RSR-TN

Models RSR-M, RSR-N and RSR-TN odels RSR-, RSR- and RSR-T 1.6 troug 2-l 1 2 1 odel RSR3 2-l 1.6 troug 2 1 1 odel RSR3 Outer dimensions dimensions odel o. Heigt idt engt Greasing ole Grease nipple RSR 3 RSR 3 RSR 5 RSR 5 RSR 5T odel

More information

12.2 Compact Type, MSB Series

12.2 Compact Type, MSB Series 12.2 Compact Type, MSB Series A. Construction Upper Retainer Carriage End Cap End Seal Rail Grease Nipple Ball Lower Retainer 45 Bottom Seal 45 B. Characteristics The trains of balls are designed to a

More information

Construction (2) Characteristics (2) Rail Type (2) Carriage Type (3) Description of Specification (4) Accuracy Grade (5) Preload Grade (6)

Construction (2) Characteristics (2) Rail Type (2) Carriage Type (3) Description of Specification (4) Accuracy Grade (5) Preload Grade (6) Contents Construction (2) Characteristics (2) Rail Type (2) Carriage Type (3) Description of Specification (4) Accuracy Grade (5) Preload Grade (6) Dust Proof (7) Dimensions of Tapped-hole Rails (8) Rail

More information

1.6. Analyse Optimum Volume and Surface Area. Maximum Volume for a Given Surface Area. Example 1. Solution

1.6. Analyse Optimum Volume and Surface Area. Maximum Volume for a Given Surface Area. Example 1. Solution 1.6 Analyse Optimum Volume and Surface Area Estimation and oter informal metods of optimizing measures suc as surface area and volume often lead to reasonable solutions suc as te design of te tent in tis

More information

Pressure. Pressure. Atmospheric pressure. Conceptual example 1: Blood pressure. Pressure is force per unit area:

Pressure. Pressure. Atmospheric pressure. Conceptual example 1: Blood pressure. Pressure is force per unit area: Pressure Pressure is force per unit area: F P = A Pressure Te direction of te force exerted on an object by a fluid is toward te object and perpendicular to its surface. At a microscopic level, te force

More information

Shell and Tube Heat Exchanger

Shell and Tube Heat Exchanger Sell and Tube Heat Excanger MECH595 Introduction to Heat Transfer Professor M. Zenouzi Prepared by: Andrew Demedeiros, Ryan Ferguson, Bradford Powers November 19, 2009 1 Abstract 2 Contents Discussion

More information

Profile rail guides LLR

Profile rail guides LLR Profile rail guides LLR Content The SKF brand now stands for more than ever before, and means more to you as a valued customer. While SKF maintains its leadership as the hallmark of quality bearings throughout

More information

Stainless Linear Motion Rolling Guide series

Stainless Linear Motion Rolling Guide series products are avaiable from: MARYLAND METRICS phones: (410)358-3130 (800)638-1830 faxes: (410)358-3142 (800)872-9329 P.O.Box 261 Owings Mills, MD 21117 USA URL: http://mdmetric.com E-mail: sales@mdmetric.com

More information

Rexroth Linear Motion Technology

Rexroth Linear Motion Technology 2 Bosch Rexroth Corp. Linear Motion and Assembly Technologies Ball Rail Systems R310A 2202 (2007.05) Rexroth Linear Motion Technology Ball Rail Systems Roller Rail Systems Linear Bushings and Shafts Standard

More information

Derivatives Math 120 Calculus I D Joyce, Fall 2013

Derivatives Math 120 Calculus I D Joyce, Fall 2013 Derivatives Mat 20 Calculus I D Joyce, Fall 203 Since we ave a good understanding of its, we can develop derivatives very quickly. Recall tat we defined te derivative f x of a function f at x to be te

More information

Geometric Stratification of Accounting Data

Geometric Stratification of Accounting Data Stratification of Accounting Data Patricia Gunning * Jane Mary Horgan ** William Yancey *** Abstract: We suggest a new procedure for defining te boundaries of te strata in igly skewed populations, usual

More information

Projective Geometry. Projective Geometry

Projective Geometry. Projective Geometry Euclidean versus Euclidean geometry describes sapes as tey are Properties of objects tat are uncanged by rigid motions» Lengts» Angles» Parallelism Projective geometry describes objects as tey appear Lengts,

More information

LM Guide SR High-Rigidity Radial Type

LM Guide SR High-Rigidity Radial Type www.thk.ru BERG AB thk@thk.ru Тел. (49)2222, ф. (49)221 LM Guide SR HighRigidity Radial Type Japanese Patent Nos. 1421, 111, and 1921 Utility model registration No. 199119 LM block End plate Grease nipple

More information

New Vocabulary volume

New Vocabulary volume -. Plan Objectives To find te volume of a prism To find te volume of a cylinder Examples Finding Volume of a Rectangular Prism Finding Volume of a Triangular Prism 3 Finding Volume of a Cylinder Finding

More information

MATHEMATICS FOR ENGINEERING DIFFERENTIATION TUTORIAL 1 - BASIC DIFFERENTIATION

MATHEMATICS FOR ENGINEERING DIFFERENTIATION TUTORIAL 1 - BASIC DIFFERENTIATION MATHEMATICS FOR ENGINEERING DIFFERENTIATION TUTORIAL 1 - BASIC DIFFERENTIATION Tis tutorial is essential pre-requisite material for anyone stuing mecanical engineering. Tis tutorial uses te principle of

More information

ACT Math Facts & Formulas

ACT Math Facts & Formulas Numbers, Sequences, Factors Integers:..., -3, -2, -1, 0, 1, 2, 3,... Rationals: fractions, tat is, anyting expressable as a ratio of integers Reals: integers plus rationals plus special numbers suc as

More information

13 PERIMETER AND AREA OF 2D SHAPES

13 PERIMETER AND AREA OF 2D SHAPES 13 PERIMETER AND AREA OF D SHAPES 13.1 You can find te perimeter of sapes Key Points Te perimeter of a two-dimensional (D) sape is te total distance around te edge of te sape. l To work out te perimeter

More information

Notes: Most of the material in this chapter is taken from Young and Freedman, Chap. 12.

Notes: Most of the material in this chapter is taken from Young and Freedman, Chap. 12. Capter 6. Fluid Mecanics Notes: Most of te material in tis capter is taken from Young and Freedman, Cap. 12. 6.1 Fluid Statics Fluids, i.e., substances tat can flow, are te subjects of tis capter. But

More information

Research on the Anti-perspective Correction Algorithm of QR Barcode

Research on the Anti-perspective Correction Algorithm of QR Barcode Researc on te Anti-perspective Correction Algoritm of QR Barcode Jianua Li, Yi-Wen Wang, YiJun Wang,Yi Cen, Guoceng Wang Key Laboratory of Electronic Tin Films and Integrated Devices University of Electronic

More information

Heat Exchangers. Heat Exchanger Types. Heat Exchanger Types. Applied Heat Transfer Part Two. Topics of This chapter

Heat Exchangers. Heat Exchanger Types. Heat Exchanger Types. Applied Heat Transfer Part Two. Topics of This chapter Applied Heat Transfer Part Two Heat Excangers Dr. Amad RAMAZANI S.A. Associate Professor Sarif University of Tecnology انتقال حرارت کاربردی احمد رمضانی سعادت ا بادی Autumn, 1385 (2006) Ramazani, Heat Excangers

More information

General: Design: Mating Component:

General: Design: Mating Component: General: Spiet djustable Locknuts adjust, preload, and secure bearings and oter macine components on safts and spindles wit a ig degree of stiffness. Tey permit te correct setting of te axial preload of

More information

The Derivative as a Function

The Derivative as a Function Section 2.2 Te Derivative as a Function 200 Kiryl Tsiscanka Te Derivative as a Function DEFINITION: Te derivative of a function f at a number a, denoted by f (a), is if tis limit exists. f (a) f(a+) f(a)

More information

SAT Subject Math Level 1 Facts & Formulas

SAT Subject Math Level 1 Facts & Formulas Numbers, Sequences, Factors Integers:..., -3, -2, -1, 0, 1, 2, 3,... Reals: integers plus fractions, decimals, and irrationals ( 2, 3, π, etc.) Order Of Operations: Aritmetic Sequences: PEMDAS (Parenteses

More information

NSK LINEAR GUIDES FOR INDUSTRIAL AUTOMATION AND EQUIPMENT

NSK LINEAR GUIDES FOR INDUSTRIAL AUTOMATION AND EQUIPMENT NSK LINEAR GUIDES FOR INDUSTRIAL AUTOMATION AND EQUIPMENT Five Types available in Commercial Grade LE Series Miniature - Wide Type LH Series for High Load Capacity Applications LS Series for Compact Low

More information

Instantaneous Rate of Change:

Instantaneous Rate of Change: Instantaneous Rate of Cange: Last section we discovered tat te average rate of cange in F(x) can also be interpreted as te slope of a scant line. Te average rate of cange involves te cange in F(x) over

More information

Determine the perimeter of a triangle using algebra Find the area of a triangle using the formula

Determine the perimeter of a triangle using algebra Find the area of a triangle using the formula Student Name: Date: Contact Person Name: Pone Number: Lesson 0 Perimeter, Area, and Similarity of Triangles Objectives Determine te perimeter of a triangle using algebra Find te area of a triangle using

More information

Perimeter, Area and Volume of Regular Shapes

Perimeter, Area and Volume of Regular Shapes Perimeter, Area and Volume of Regular Sapes Perimeter of Regular Polygons Perimeter means te total lengt of all sides, or distance around te edge of a polygon. For a polygon wit straigt sides tis is te

More information

Note nine: Linear programming CSE 101. 1 Linear constraints and objective functions. 1.1 Introductory example. Copyright c Sanjoy Dasgupta 1

Note nine: Linear programming CSE 101. 1 Linear constraints and objective functions. 1.1 Introductory example. Copyright c Sanjoy Dasgupta 1 Copyrigt c Sanjoy Dasgupta Figure. (a) Te feasible region for a linear program wit two variables (see tet for details). (b) Contour lines of te objective function: for different values of (profit). Te

More information

Warm medium, T H T T H T L. s Cold medium, T L

Warm medium, T H T T H T L. s Cold medium, T L Refrigeration Cycle Heat flows in direction of decreasing temperature, i.e., from ig-temperature to low temperature regions. Te transfer of eat from a low-temperature to ig-temperature requires a refrigerator

More information

R310EN 2225 (2011.04) The Drive & Control Company

R310EN 2225 (2011.04) The Drive & Control Company Ball Rail Systems Resist NRII R310EN 5 (011.04) he Drive & Control Company R310EN 5 (011.04) Ball Rail Systems Resist NR II Bosch Rexroth AG 3 Ball Rail Systems Resist NRII General Product Description

More information

Semi-executive TECHNICAL FEATURES

Semi-executive TECHNICAL FEATURES Semi-executive TECHNICL FETURES 04/2014 M10 WITH HIGH CINET Hig cabinet 310 / 250 cm widt Top 30 mm melamine Leg frame F25 / M10 / M10 Plateau 30 mm melamine Credenza Leg frame F25 / M10 / Top 30 mm melamine

More information

Math 113 HW #5 Solutions

Math 113 HW #5 Solutions Mat 3 HW #5 Solutions. Exercise.5.6. Suppose f is continuous on [, 5] and te only solutions of te equation f(x) = 6 are x = and x =. If f() = 8, explain wy f(3) > 6. Answer: Suppose we ad tat f(3) 6. Ten

More information

iglidur PRT Slewing Ring Bearing

iglidur PRT Slewing Ring Bearing igliur igliur Slewing Ring Bearing Stanar range Completely maintenance-free Easy installation, intercangeable sliing pas ig wear resistance For ig loa capacity, ig stiffness Available as stainless steel

More information

How To Ensure That An Eac Edge Program Is Successful

How To Ensure That An Eac Edge Program Is Successful Introduction Te Economic Diversification and Growt Enterprises Act became effective on 1 January 1995. Te creation of tis Act was to encourage new businesses to start or expand in Newfoundland and Labrador.

More information

2 Limits and Derivatives

2 Limits and Derivatives 2 Limits and Derivatives 2.7 Tangent Lines, Velocity, and Derivatives A tangent line to a circle is a line tat intersects te circle at exactly one point. We would like to take tis idea of tangent line

More information

Lecture 10: What is a Function, definition, piecewise defined functions, difference quotient, domain of a function

Lecture 10: What is a Function, definition, piecewise defined functions, difference quotient, domain of a function Lecture 10: Wat is a Function, definition, piecewise defined functions, difference quotient, domain of a function A function arises wen one quantity depends on anoter. Many everyday relationsips between

More information

PTFE Slide Bearings 04/10 149

PTFE Slide Bearings 04/10 149 04/10 149 1.0 GENERAL INFORMATION In a wide range of applications, PTFE Slide bearings are superior to conventional expansion plates, rollers and rocker arm type supports. They support petrochemical plant,

More information

Pneumatic Grippers Parallel and Angular Grippers. Catalog 1900-2/US

Pneumatic Grippers Parallel and Angular Grippers. Catalog 1900-2/US Pneumatic Grippers Parallel and Angular Grippers Catalog 19-2/US Catalog 19-2/US OContents GPR Series Rotary vane driven design GPR GPCR Series P5G-HPM(C) Series P5G-HP Series GPT Series P5G-AP Series

More information

M(0) = 1 M(1) = 2 M(h) = M(h 1) + M(h 2) + 1 (h > 1)

M(0) = 1 M(1) = 2 M(h) = M(h 1) + M(h 2) + 1 (h > 1) Insertion and Deletion in VL Trees Submitted in Partial Fulfillment of te Requirements for Dr. Eric Kaltofen s 66621: nalysis of lgoritms by Robert McCloskey December 14, 1984 1 ackground ccording to Knut

More information

The EOQ Inventory Formula

The EOQ Inventory Formula Te EOQ Inventory Formula James M. Cargal Matematics Department Troy University Montgomery Campus A basic problem for businesses and manufacturers is, wen ordering supplies, to determine wat quantity of

More information

SAMPLE DESIGN FOR THE TERRORISM RISK INSURANCE PROGRAM SURVEY

SAMPLE DESIGN FOR THE TERRORISM RISK INSURANCE PROGRAM SURVEY ASA Section on Survey Researc Metods SAMPLE DESIG FOR TE TERRORISM RISK ISURACE PROGRAM SURVEY G. ussain Coudry, Westat; Mats yfjäll, Statisticon; and Marianne Winglee, Westat G. ussain Coudry, Westat,

More information

Why Lead Screws are the Best Fit for Many Linear Motion Applications - and How to Rightly Apply Them

Why Lead Screws are the Best Fit for Many Linear Motion Applications - and How to Rightly Apply Them Why Lead Screws are the Best Fit for Many Linear Motion Applications - and How to Rightly Apply Them Robert Lipsett, Engineering Manager, Thomson BSA Thomson Industries, Inc. San Jose, CA 800.882.8857

More information

The modelling of business rules for dashboard reporting using mutual information

The modelling of business rules for dashboard reporting using mutual information 8 t World IMACS / MODSIM Congress, Cairns, Australia 3-7 July 2009 ttp://mssanz.org.au/modsim09 Te modelling of business rules for dasboard reporting using mutual information Gregory Calbert Command, Control,

More information

Chapter 10: Refrigeration Cycles

Chapter 10: Refrigeration Cycles Capter 10: efrigeration Cycles Te vapor compression refrigeration cycle is a common metod for transferring eat from a low temperature to a ig temperature. Te above figure sows te objectives of refrigerators

More information

Math Test Sections. The College Board: Expanding College Opportunity

Math Test Sections. The College Board: Expanding College Opportunity Taking te SAT I: Reasoning Test Mat Test Sections Te materials in tese files are intended for individual use by students getting ready to take an SAT Program test; permission for any oter use must be sougt

More information

SAT Math Must-Know Facts & Formulas

SAT Math Must-Know Facts & Formulas SAT Mat Must-Know Facts & Formuas Numbers, Sequences, Factors Integers:..., -3, -2, -1, 0, 1, 2, 3,... Rationas: fractions, tat is, anyting expressabe as a ratio of integers Reas: integers pus rationas

More information

STAR Linear Bushings and Shafts Supplement RE 83 117/2001-08. Linear Motion and Assembly Technologies

STAR Linear Bushings and Shafts Supplement RE 83 117/2001-08. Linear Motion and Assembly Technologies STAR Linear Bushings and Shafts Supplement RE 83 117/2001-08 Linear Motion and Assembly Technologies STAR Linear Motion Technology Ball Rail Systems Standard Ball Rail Systems Ball Rail Systems with Aluminum

More information

Schedulability Analysis under Graph Routing in WirelessHART Networks

Schedulability Analysis under Graph Routing in WirelessHART Networks Scedulability Analysis under Grap Routing in WirelessHART Networks Abusayeed Saifulla, Dolvara Gunatilaka, Paras Tiwari, Mo Sa, Cenyang Lu, Bo Li Cengjie Wu, and Yixin Cen Department of Computer Science,

More information

3 Ans. 1 of my $30. 3 on. 1 on ice cream and the rest on 2011 MATHCOUNTS STATE COMPETITION SPRINT ROUND

3 Ans. 1 of my $30. 3 on. 1 on ice cream and the rest on 2011 MATHCOUNTS STATE COMPETITION SPRINT ROUND 0 MATHCOUNTS STATE COMPETITION SPRINT ROUND. boy scouts are accompanied by scout leaders. Eac person needs bottles of water per day and te trip is day. + = 5 people 5 = 5 bottles Ans.. Cammie as pennies,

More information

SAT Math Facts & Formulas

SAT Math Facts & Formulas Numbers, Sequences, Factors SAT Mat Facts & Formuas Integers:..., -3, -2, -1, 0, 1, 2, 3,... Reas: integers pus fractions, decimas, and irrationas ( 2, 3, π, etc.) Order Of Operations: Aritmetic Sequences:

More information

Q&A Session for Advanced Ball Screws 102: Troubleshooting for Design Engineers

Q&A Session for Advanced Ball Screws 102: Troubleshooting for Design Engineers Q&A Session for Advanced Ball Screws 102: Troubleshooting for Design Engineers Topic: Noise Q: Is there a way to predict/calculate noise on a ball screw? A: No, there is no way to calculate the noise of

More information

DEHA SPHERICAL HEAD LIFTING ANCHOR SYSTEM KKT 13-E

DEHA SPHERICAL HEAD LIFTING ANCHOR SYSTEM KKT 13-E KKT 13-E CONCRETE Tis catalogue is an installation and application instruction as defined in VDI/BV-BS 6205 Introduction Certified quality from HALFEN Connect to safety. VDI/BV-BS 6205 HALFEN Sperical

More information

Strategic trading in a dynamic noisy market. Dimitri Vayanos

Strategic trading in a dynamic noisy market. Dimitri Vayanos LSE Researc Online Article (refereed) Strategic trading in a dynamic noisy market Dimitri Vayanos LSE as developed LSE Researc Online so tat users may access researc output of te Scool. Copyrigt and Moral

More information

ROLLER GUIDE LINEAR MOTION PRODUCTS

ROLLER GUIDE LINEAR MOTION PRODUCTS ROLLER GUIDE LINEAR MOTION PRODUCTS 0 ROLLER GUIDE This linear motion system is based on the well known crossed roller design. A high level of High rigidity is achieved through a geometric design that

More information

f(a + h) f(a) f (a) = lim

f(a + h) f(a) f (a) = lim Lecture 7 : Derivative AS a Function In te previous section we defined te derivative of a function f at a number a (wen te function f is defined in an open interval containing a) to be f (a) 0 f(a + )

More information

Catalogue no. 12-001-XIE. Survey Methodology. December 2004

Catalogue no. 12-001-XIE. Survey Methodology. December 2004 Catalogue no. 1-001-XIE Survey Metodology December 004 How to obtain more information Specific inquiries about tis product and related statistics or services sould be directed to: Business Survey Metods

More information

The Dynamics of Movie Purchase and Rental Decisions: Customer Relationship Implications to Movie Studios

The Dynamics of Movie Purchase and Rental Decisions: Customer Relationship Implications to Movie Studios Te Dynamics of Movie Purcase and Rental Decisions: Customer Relationsip Implications to Movie Studios Eddie Ree Associate Professor Business Administration Stoneill College 320 Wasington St Easton, MA

More information

Linear guide slides. For smooth and extremely accurate positioning

Linear guide slides. For smooth and extremely accurate positioning Linear guide slides For smooth and extremely accurate positioning Complete Gilman USA slide selection Linear slides ** Built-to-order Ball or roller styles Used for high-precision, high-speed applications

More information

Theoretical calculation of the heat capacity

Theoretical calculation of the heat capacity eoretical calculation of te eat capacity Principle of equipartition of energy Heat capacity of ideal and real gases Heat capacity of solids: Dulong-Petit, Einstein, Debye models Heat capacity of metals

More information

2.23 Gambling Rehabilitation Services. Introduction

2.23 Gambling Rehabilitation Services. Introduction 2.23 Gambling Reabilitation Services Introduction Figure 1 Since 1995 provincial revenues from gambling activities ave increased over 56% from $69.2 million in 1995 to $108 million in 2004. Te majority

More information

Caged Ball LM Guide. Ball Cage Effect Wide, Low Center of Gravity Type SHW. CATALOG No.248-5E

Caged Ball LM Guide. Ball Cage Effect Wide, Low Center of Gravity Type SHW. CATALOG No.248-5E Caged Ball LM Guide Ball Cage Effect Wide, Low Center of Gravity Type SHW CATALOG No.248-E Ball Cage Effect The early forms of ball bearings were full-ball types without ball cages. Friction between balls

More information

Selecting and Sizing Ball Screw Drives

Selecting and Sizing Ball Screw Drives Selecting and Sizing Ball Screw Drives Jeff G. Johnson, Product Engineer Thomson Industries, Inc. Wood Dale, IL 540-633-3549 www.thomsonlinear.com Thomson@thomsonlinear.com Fig 1: Ball screw drive is a

More information

. Simplification. High Performance. Safety and Longevity. The fundamental goal is to restore the quality of life of patients.

. Simplification. High Performance. Safety and Longevity. The fundamental goal is to restore the quality of life of patients. Catalog 2 P-I product line was developed by te Osseointegration pioneer, Professor Per-Ingvar Brånemark, jointly wit experienced scientists in world recognized entities to meet modern Implant Dentistry

More information

In other words the graph of the polynomial should pass through the points

In other words the graph of the polynomial should pass through the points Capter 3 Interpolation Interpolation is te problem of fitting a smoot curve troug a given set of points, generally as te grap of a function. It is useful at least in data analysis (interpolation is a form

More information

Configured Linear Motion Assemblies Reduce Engineering and Assembly Costs and Leadtime

Configured Linear Motion Assemblies Reduce Engineering and Assembly Costs and Leadtime Configured Linear Motion Assemblies Reduce Engineering and Assembly Costs and Leadtime Kyle Thompson, Associate Product Line Manager Thomson Industries, Inc. www.thomsonlinear.com www.linearmotioneering.com

More information

So You Want to Think Lean? Jürgen Hilbinger and Martin Schreiber

So You Want to Think Lean? Jürgen Hilbinger and Martin Schreiber So You Want to Think Lean? Jürgen Hilbinger and Martin Schreiber INA reprint November 2000 So You Want to Think Lean? New High-Precision Bearing Unit for Cost-Effective Ball Screw Supports in the Small

More information

PREASSEMBLED ELEMENTS FOR LIFTING AND SLIDING DOORS

PREASSEMBLED ELEMENTS FOR LIFTING AND SLIDING DOORS SYSTEM COMPONENTS PREASSEMBLED ELEMENTS FOR FIFTING AND SLIDING DOORS s r ood gn i d i l s dna gn i t f i f r o f s t neme l e de l bme s s ae r P PREASSEMBLED ELEMENTS FOR LIFTING AND SLIDING DOORS These

More information

Comparison between two approaches to overload control in a Real Server: local or hybrid solutions?

Comparison between two approaches to overload control in a Real Server: local or hybrid solutions? Comparison between two approaces to overload control in a Real Server: local or ybrid solutions? S. Montagna and M. Pignolo Researc and Development Italtel S.p.A. Settimo Milanese, ITALY Abstract Tis wor

More information

Working Capital 2013 UK plc s unproductive 69 billion

Working Capital 2013 UK plc s unproductive 69 billion 2013 Executive summary 2. Te level of excess working capital increased 3. UK sectors acieve a mixed performance 4. Size matters in te supply cain 6. Not all companies are overflowing wit cas 8. Excess

More information

Linear modules Lifting units Rotary modules Grip modules Inductive proximity switches Plug connectors

Linear modules Lifting units Rotary modules Grip modules Inductive proximity switches Plug connectors 20000 Linear modules Lifting units Rotary modules Grip modules Inductive proximity switches Plug connectors 23000 22000 21000 20000 09000 08000 07000 06000 05000 04000 03000 02000 01000 823 Notes 824 Technical

More information

DryLin ZLW Belt Drive

DryLin ZLW Belt Drive Belt Drive +50º 0º DryLin toothed belt drives have been developed for the fast positioning of small loads. The linear units with toothed belt drive are corrosion resistant, light and compact, besides having

More information

United Kingdom Sweden Germany Switzerland USA, Canada and Mexico China Japan France Linear Units Y07 GB Asia Pacific Italy EU-200502-03 03JUL

United Kingdom Sweden Germany Switzerland USA, Canada and Mexico China Japan France Linear Units Y07 GB Asia Pacific Italy EU-200502-03 03JUL Linear Units Linear Units Table of Contents Introduction... 5 Introduction... 5 How to Choose a Unit...6-7 Technical Introduction...8 - Linear Units with Ball Screw Drive and Ball Guide... 3 Introduction...

More information

Volumes of Pyramids and Cones. Use the Pythagorean Theorem to find the value of the variable. h 2 m. 1.5 m 12 in. 8 in. 2.5 m

Volumes of Pyramids and Cones. Use the Pythagorean Theorem to find the value of the variable. h 2 m. 1.5 m 12 in. 8 in. 2.5 m -5 Wat You ll Learn To find te volume of a pramid To find te volume of a cone... And W To find te volume of a structure in te sape of a pramid, as in Eample Volumes of Pramids and Cones Ceck Skills You

More information

Chapter 7 Numerical Differentiation and Integration

Chapter 7 Numerical Differentiation and Integration 45 We ave a abit in writing articles publised in scientiþc journals to make te work as Þnised as possible, to cover up all te tracks, to not worry about te blind alleys or describe ow you ad te wrong idea

More information

Guide to Cover Letters & Thank You Letters

Guide to Cover Letters & Thank You Letters Guide to Cover Letters & Tank You Letters 206 Strebel Student Center (315) 792-3087 Fax (315) 792-3370 TIPS FOR WRITING A PERFECT COVER LETTER Te resume never travels alone. Eac time you submit your resume

More information

What is Advanced Corporate Finance? What is finance? What is Corporate Finance? Deciding how to optimally manage a firm s assets and liabilities.

What is Advanced Corporate Finance? What is finance? What is Corporate Finance? Deciding how to optimally manage a firm s assets and liabilities. Wat is? Spring 2008 Note: Slides are on te web Wat is finance? Deciding ow to optimally manage a firm s assets and liabilities. Managing te costs and benefits associated wit te timing of cas in- and outflows

More information

A strong credit score can help you score a lower rate on a mortgage

A strong credit score can help you score a lower rate on a mortgage NET GAIN Scoring points for your financial future AS SEEN IN USA TODAY S MONEY SECTION, JULY 3, 2007 A strong credit score can elp you score a lower rate on a mortgage By Sandra Block Sales of existing

More information

NSK Product Lineup for Machine Tools

NSK Product Lineup for Machine Tools NSK Product Lineup for Machine Tools We have two general catalogs on Super Precision and Precision Machine Components available, which contain detailed information related to our bearings and linear products.

More information

Torque motors. direct drive technology

Torque motors. direct drive technology Torque motors direct drive technology Why Direct Drive Motors? Fast and effective Direct-drive technology in mechanical engineering is defined as the use of actuators which transfer their power directly

More information

- 1 - Handout #22 May 23, 2012 Huffman Encoding and Data Compression. CS106B Spring 2012. Handout by Julie Zelenski with minor edits by Keith Schwarz

- 1 - Handout #22 May 23, 2012 Huffman Encoding and Data Compression. CS106B Spring 2012. Handout by Julie Zelenski with minor edits by Keith Schwarz CS106B Spring 01 Handout # May 3, 01 Huffman Encoding and Data Compression Handout by Julie Zelenski wit minor edits by Keit Scwarz In te early 1980s, personal computers ad ard disks tat were no larger

More information

Tubular connection elements

Tubular connection elements KIRÁY TRING KFT H-1151 udapest Mogyoród útja 12 14tel: 061307-3801 Tubular connection elements 429 KIRÁY TRING KFT H-1151 udapest Mogyoród útja 12 14tel: 061307-3801 Technical information on the tubular

More information

Technical Data. 7. Bearing Fits. 7.1 Interference. 7.2 Calculation of interference F B LLLLLLLLL( A-54

Technical Data. 7. Bearing Fits. 7.1 Interference. 7.2 Calculation of interference F B LLLLLLLLL( A-54 Technical Data 7. Bearing Fits 7.1 Interference For rolling s the rings are fixed on the or in the housing so that slip or movement does not occur between the mated surface during operation or under. This

More information

Ball Rail Tables TKK. with Ball Rail Systems and Ball Screw Drive R310EN 2501 (2008.04) The Drive & Control Company

Ball Rail Tables TKK. with Ball Rail Systems and Ball Screw Drive R310EN 2501 (2008.04) The Drive & Control Company with Ball Rail Systems and Ball Screw Drive R310EN 2501 (2008.04) The Drive & Control Company Bosch Rexroth AG Linear Motion and Assembly Technologies Ball Rail Systems Roller Rail Systems Linear Bushings

More information

College Planning Using Cash Value Life Insurance

College Planning Using Cash Value Life Insurance College Planning Using Cas Value Life Insurance CAUTION: Te advisor is urged to be extremely cautious of anoter college funding veicle wic provides a guaranteed return of premium immediately if funded

More information

Tangent Lines and Rates of Change

Tangent Lines and Rates of Change Tangent Lines and Rates of Cange 9-2-2005 Given a function y = f(x), ow do you find te slope of te tangent line to te grap at te point P(a, f(a))? (I m tinking of te tangent line as a line tat just skims

More information

Digital evolution Where next for the consumer facing business?

Digital evolution Where next for the consumer facing business? Were next for te consumer facing business? Cover 2 Digital tecnologies are powerful enablers and lie beind a combination of disruptive forces. Teir rapid continuous development demands a response from

More information

Average and Instantaneous Rates of Change: The Derivative

Average and Instantaneous Rates of Change: The Derivative 9.3 verage and Instantaneous Rates of Cange: Te Derivative 609 OBJECTIVES 9.3 To define and find average rates of cange To define te derivative as a rate of cange To use te definition of derivative to

More information

Precision rail guides

Precision rail guides Precision rail guides Content General information 3 Introduction 4 Produkt overview 4 Modular Range rail guides 8 Other products The SKF brand now stands for more than ever before, and means more to you

More information

2.12 Student Transportation. Introduction

2.12 Student Transportation. Introduction Introduction Figure 1 At 31 Marc 2003, tere were approximately 84,000 students enrolled in scools in te Province of Newfoundland and Labrador, of wic an estimated 57,000 were transported by scool buses.

More information

Can a Lump-Sum Transfer Make Everyone Enjoy the Gains. from Free Trade?

Can a Lump-Sum Transfer Make Everyone Enjoy the Gains. from Free Trade? Can a Lump-Sum Transfer Make Everyone Enjoy te Gains from Free Trade? Yasukazu Icino Department of Economics, Konan University June 30, 2010 Abstract I examine lump-sum transfer rules to redistribute te

More information

Fisher 657 and 667 Diaphragm Actuators

Fisher 657 and 667 Diaphragm Actuators 657 and Actuators Product Bulletin Fisher 657 and Diaphragm Actuators Fisher 657 and spring-opposed diaphragm actuators position the valve plug in the valve in response to varying controller or valve positioner

More information

Chapter 6 Tail Design

Chapter 6 Tail Design apter 6 Tail Design Moammad Sadraey Daniel Webster ollege Table of ontents apter 6... 74 Tail Design... 74 6.1. Introduction... 74 6.. Aircraft Trim Requirements... 78 6..1. Longitudinal Trim... 79 6...

More information

Cross-Roller Ring Series

Cross-Roller Ring Series Cross-Roller Ring Series Compact, Highly Rigid Swivel Bearings Achieving a Superb Rotation Accuracy For details, visit THK at www.thk.com Product information is updated regularly on the THK website. CATALOG

More information

BUMAX. REYHER your partner for the BUMAX range

BUMAX. REYHER your partner for the BUMAX range BUMAX high-tensile stainless steel fasteners REYHER your partner for the BUMAX range Strongest stainless steel fasteners in the world BUMAX 88 and BUMAX ready for delivery from stock Wide range of BUMAX

More information

GPS Relevant. ISO-Standards

GPS Relevant. ISO-Standards R P L PS 8-Point Procedure A1 M A R L 60 7 ISO-Standards E 0,1 M R A F M 0,1 M R A E PS 8-Point Procedure A A -0,8/Rz 1,2 0 48-0,005 A -0,2 A 0,02 232 ± 0,2 E 0 M LP 4 A1 R -0,8/Rz 1,2 60 7 4 A1 A A C

More information

Torchmark Corporation 2001 Third Avenue South Birmingham, Alabama 35233 Contact: Joyce Lane 972-569-3627 NYSE Symbol: TMK

Torchmark Corporation 2001 Third Avenue South Birmingham, Alabama 35233 Contact: Joyce Lane 972-569-3627 NYSE Symbol: TMK News Release Torcmark Corporation 2001 Tird Avenue Sout Birmingam, Alabama 35233 Contact: Joyce Lane 972-569-3627 NYSE Symbol: TMK TORCHMARK CORPORATION REPORTS FOURTH QUARTER AND YEAR-END 2004 RESULTS

More information

DELTA PT. Calculable Extra Performance

DELTA PT. Calculable Extra Performance DELTA PT Calculable Extra Performance DELTA PT The Screw for Thermoplastics Optimal material flow Superior vibration resistance High torsional strength and tensile strength Calculable performance The Fastener

More information

High precision ball bearings

High precision ball bearings GMN Paul Müller Industrie GmbH & Co. KG Äussere Bayreuther Str. 230 D-90411 Nuremberg Phone: +49 911-5691-0 Fax: +49 911-5691-221 www.gmn.de High precision ball bearings Ball bearings: Phone: +49 911-56

More information

Water Separator. Main Line Filter. Mist Separator. Micro Mist Separator 150C 250C 350C 450C AMG 550C 2C 4C 8C 11C AFF 22C 37B 75B 150C 250C 350C 450C

Water Separator. Main Line Filter. Mist Separator. Micro Mist Separator 150C 250C 350C 450C AMG 550C 2C 4C 8C 11C AFF 22C 37B 75B 150C 250C 350C 450C Water droplet removal Water Separator Water droplet separation rate: % Model Flow capacity l/min (ANR) Max. flow capacity at 0.7 MPa inlet pressure 300 750 1,500 AMG 2,0 AMG to AMG/ Large dust particle

More information

High Precision Bearings for Combined Loads

High Precision Bearings for Combined Loads High Precision Bearings for Combined Loads Axial/radial bearings Axial angular contact ball bearings Axial/radial bearings with angular measuring system added competence for your success With their forward-looking

More information