HANDOUT E.5 - EXAMPLES ON MODELLING OF TRANSLATIONAL MECHANICAL SYSTEMS
|
|
|
- Albert Cain
- 7 years ago
- Views:
Transcription
1 MEEN 6 Parasura Leure 57 Augus 7 HANDOUT E5 - EAMPLES ON MODELLING OF TRANSLATIONAL MECHANICAL SYSTEMS A generalized proedure has been followed in all he eaples in his handou o derive he governing differenial equaions of oion Noe ha he ie dependene of all variables is ignored for all anipulaions Eaple : One DOF sse Consider he sse shown below Kineais sage In his sage he posiion veloi and he aeleraion of all he rigid bodies in he sse are defined In he above sse here is onl one rigid bod Le he displaeen oved b he bod fro he sai equilibriu posiion be equal o unis Then he veloi and he aeleraion of he bod is defined as respeivel This oplees he ineais sage ẏ and ẏ unis Kineis sage In his sage he Newon s seond law of oion whih saes ha he su of all he fores aing on he bod is equal o he produ of is ass and is aeleraion is applied o obain he final governing differenial equaion of oion Free bod diagra of he bod of ass
2 MEEN 6 Parasura Leure 57 Augus 7 Noe ha he gravi fore is no onsidered in he free bod diagra as he displaeen of he bod is onsidered fro he sai equilibriu posiion Hene he spring fore due o he iniial opression of he spring balanes he gravi fore Wriing he Newon s seond law of oion we have F a The blo does no ove in he -direion Equaion represens he governing differenial equaion of oion of he abovedefined sse Equaion an be rewrien as The generalized seond order differenial equaion is given b n n ζ ω ω where ζ is he daping raio and ω n is he naural frequen of he sse Coparing equaions and we have ζ ω ω n n Sae-spae represenaion Le he saes of he sse be defined as
3 MEEN 6 Parasura Leure 57 Augus 7 Fro he above relaions i an be onluded ha 5 Subsiuing he relaions given b equaion in equaion we have 6 Rewriing equaions 5 and 6 in ari fora we ge 7 If he oupu of he sse is he displaeen of he blo hen he oupu equaion an be wrien in he ari for as follows [ ] Y Y 8 Equaions 7 and 8 represen he sae-spae represenaion of he sse defined
4 MEEN 6 Parasura Leure 57 Augus 7 Eaple : Two DOF sse Consider he sse given below Noe: The ie dependene is ignored for all fuure anipulaions Kineais sage In his sage he posiion veloi and he aeleraion of all he rigid bodies are defined Fro he above figure i an be seen ha here are wo rigid bodies The oal nuber of degrees of freedo of he sse is wo The degrees of freedo of he sse are defined as he horizonal displaeen of he wo bodies of ass and Le he displaeen of he bodies of ass and be equal o and respeivel The veloi and aeleraion of he bod wih ass is given b and respeivel Siilarl he veloi and he aeleraion of he bod wih ass is and respeivel This oplees he ineais sage Kineis sage In his sage he Newon s seond law of oion is used o obain he final governing differenial equaion of oion To wrie he fore or he orque balane equaions we need o draw he free bod diagra of eah rigid bod Assue o be greaer han Free bod diagra of bod of ass g - N Wriing he Newon s seond law of oion whih saes ha he su of he fores aing on he bod us be equal o he produ of is ass and aeleraion
5 MEEN 6 Parasura Leure 57 Augus 7 F a 9 Siilarl F N a g where N is he reaion fore of he ground on he blo Noe ha he blo does no ove in he -direion and hene does no have an aeleraion in ha direion Free bod diagra of bod of ass g - N Wriing he Newon s seond law of oion for his bod we have F a F N a g where N is he reaion fore of he ground on he blo of ass Even in his ase he blo does no ove in he -direion and has no aeleraion in ha direion Equaions 9 and represen he governing equaion of oion for he sse defined Rewriing he equaions in he for of a ari we have 5
6 MEEN 6 Parasura Leure 57 Augus 7 The above equaion is of he for [ M] [ K][ ] where [M] is he ass ari [K] is he siffness ari and [] is he veor onaining he displaeens of he blos To alulae he Eigen values and Eigen veors Le he onsans in he above sse be defined as follows 5 Kg Kg N/ N/ N/ Therefore he ass and he siffness aries are M 5 K To obain he Eigen values and Eigen veors of he above sse use he following MATLAB ode % his ode alulaes he eigen values and eigen % veors assoiaed wih he defined sse [ ; 5]; [ -;- ]; [vd] eig wna sqrd The resul of he above ode is 6
7 MEEN 6 Parasura Leure 57 Augus 7 v d e * wna The diagonal eleens in he ari d represens he Eigen values of he sse and he orresponding olun veor in he ari v represens he Eigen veor assoiaed wih ha pariular Eigen value Also noe ha he naural frequen of he sse is defined as he square roo of he Eigen values The veor wna gives he naural frequen of he sse The phsial signifiane of he Eigen values and Eigen veors is eplained in deail in he handou on Eigen values and Eigen veors Sae-spae represenaion Le he saes of he sse be defined as Fro he above relaions he following equaions an be derived Subsiuing he relaions given b equaion in equaion 9 we ge 7
8 MEEN 6 Parasura Leure 57 Augus 7 8 Siilarl subsiuing he relaions given b equaion in equaion we ge 5 Rewriing equaions and 5 in ari fora we ge 6 If he oupu of he sse is he displaeen of he blo of ass hen he oupu equaion an be wrien in he ari fora as [ ] Y Y 7 Equaions 6 and 7 represen he sae-spae for of he above-defined sse
9 MEEN 6 Parasura Leure 57 Augus 7 Eaple : Base eiaion proble Consider he sse shown below in whih he base of he sse oves M Fe Noie ha he base of he sse oves b unis independen of he ass Bu in his ase we however now how he base oves as given b he haroni funion So in effe his is jus a one degree of freedo proble Tha is in oher words here are wo degrees of freedo for his sse bu ou of whih one degree of freedo is nown Kineais sage The posiion veloi and he aeleraion of he ass are oplees he ineais sage respeivel This Kineis sage Free bod diagra of he ass Noe ha he displaeens and in he sse are fro he sai equilibriu posiion Hene he spring fore due o he iniial opression of he spring will balane he gravi fore Wriing he Newon s fore balane equaion we have 9
10 MEEN 6 Parasura Leure 57 Augus 7 F a 8 Sine Fe F e Subsiuing he above relaions in equaion 8 we ge F e Fe F e 9 Equaion 9 represens he governing differenial equaion of oion for he sse in whih he base is eied wih a nown apliude and phase This equaion is siilar o ha of a fored one degree of freedo sse Sae-spae represenaion Le he saes of he sse be Fro he above relaions i ab be onluded ha Subsiuing he relaions given b equaion in equaion 9 we have F e where F F F e
11 MEEN 6 Parasura Leure 57 Augus 7 F Cobining equaions and in a ari fora we ge F If he oupu of he sse is he veloi of he ass hen he oupu equaion an be wrien in he ari fora as Y Y [ ] Equaions and represen he sae-spae for of he sse defined Eaple : The quarer-ar odel Consider he sse shown below Road surfae r Inerial referene
12 MEEN 6 Parasura Leure 57 Augus 7 The sse shown below is an approiaion of a suspension odel for one wheel of an auoobile The displaeens of he asses and are fro heir equilibriu posiions Kineais sage The veloi and aeleraion of he wo asses are given as respeivel Kineis sage Free bod diagra of he bod of ass r Noe ha he gravi fore is negleed as he spring fores due o he iniial opression of he springs balane he gravi fore Wriing he Newon s seond law of oion we ge F a r r 5 Free bod diagra of bod of ass
13 MEEN 6 Parasura Leure 57 Augus 7 Wriing he Newon s fore balane equaion we have 6 Equaions 5 and 6 represen he equaions of oion for he quarer ar odel Sae-spae represenaion Le he saes of he sse be defined as 7 The following wo equaions an be derived based on he above relaions 8 Subsiuing he relaions given b equaion 7 in equaion 5 we ge r r r 9 Siilarl subsiuing he relaions given b equaion 7 in equaion 6 we ge Rewriing equaions 8 9 and in ari fora we have
14 MEEN 6 Parasura Leure 57 Augus 7 r If he oupu of he sse is he displaeen of ass hen he oupu equaion an be epressed in he ari fora as Y [ ] Y Equaions and represen he sae-spae for of he sse defined
15 MEEN 6 Parasura Leure 57 Augus 7 Assignen Derive he differenial equaion of oion for he sse shown below F For he sse shown below derive he governing differenial equaion of oion Reoended Reading Feedba Conrol of Dnai Sses h Ediion b Gene F Franlin eal pp - 5 Reoended Assignen Feedba Conrol of Dnai Sses h Ediion b Gene F Franlin eal probles 8 5
Transient Analysis of First Order RC and RL circuits
Transien Analysis of Firs Order and iruis The irui shown on Figure 1 wih he swih open is haraerized by a pariular operaing ondiion. Sine he swih is open, no urren flows in he irui (i=0) and v=0. The volage
Chapter 7. Response of First-Order RL and RC Circuits
Chaper 7. esponse of Firs-Order L and C Circuis 7.1. The Naural esponse of an L Circui 7.2. The Naural esponse of an C Circui 7.3. The ep esponse of L and C Circuis 7.4. A General oluion for ep and Naural
The Transport Equation
The Transpor Equaion Consider a fluid, flowing wih velociy, V, in a hin sraigh ube whose cross secion will be denoed by A. Suppose he fluid conains a conaminan whose concenraion a posiion a ime will be
Endogenous Growth Practice Questions Course 14.451 Macro I TA: Todd Gormley, tgormley@mit.edu
Endogenous Grow Praie Quesions Course 4.45 Maro I TA: Todd Gormley, gormley@mi.edu Here are wo example quesions based on e endogenous grow models disussed by Marios in lass on Wednesday, Mar 9, 2005. Tey
How to calculate effect sizes from published research: A simplified methodology
WORK-LEARNING RESEARCH How o alulae effe sizes from published researh: A simplified mehodology Will Thalheimer Samanha Cook A Publiaion Copyrigh 2002 by Will Thalheimer All righs are reserved wih one exepion.
Appendix A: Area. 1 Find the radius of a circle that has circumference 12 inches.
Appendi A: Area worked-ou s o Odd-Numbered Eercises Do no read hese worked-ou s before aemping o do he eercises ourself. Oherwise ou ma mimic he echniques shown here wihou undersanding he ideas. Bes wa
Differential Equations and Linear Superposition
Differenial Equaions and Linear Superposiion Basic Idea: Provide soluion in closed form Like Inegraion, no general soluions in closed form Order of equaion: highes derivaive in equaion e.g. dy d dy 2 y
Economics Honors Exam 2008 Solutions Question 5
Economics Honors Exam 2008 Soluions Quesion 5 (a) (2 poins) Oupu can be decomposed as Y = C + I + G. And we can solve for i by subsiuing in equaions given in he quesion, Y = C + I + G = c 0 + c Y D + I
Newton s Laws of Motion
Newon s Laws of Moion MS4414 Theoreical Mechanics Firs Law velociy. In he absence of exernal forces, a body moves in a sraigh line wih consan F = 0 = v = cons. Khan Academy Newon I. Second Law body. The
1. y 5y + 6y = 2e t Solution: Characteristic equation is r 2 5r +6 = 0, therefore r 1 = 2, r 2 = 3, and y 1 (t) = e 2t,
Homework6 Soluions.7 In Problem hrough 4 use he mehod of variaion of parameers o find a paricular soluion of he given differenial equaion. Then check your answer by using he mehod of undeermined coeffiens..
cooking trajectory boiling water B (t) microwave 0 2 4 6 8 101214161820 time t (mins)
Alligaor egg wih calculus We have a large alligaor egg jus ou of he fridge (1 ) which we need o hea o 9. Now here are wo accepable mehods for heaing alligaor eggs, one is o immerse hem in boiling waer
Mathematics in Pharmacokinetics What and Why (A second attempt to make it clearer)
Mahemaics in Pharmacokineics Wha and Why (A second aemp o make i clearer) We have used equaions for concenraion () as a funcion of ime (). We will coninue o use hese equaions since he plasma concenraions
Special Relativity Being from Misunderstanding of Principle of Constant Speed of Light
Speial Relaii Being from Misundersanding of riniple of Consan Speed of Ligh Li ifeng Yanshan Uniersi Qinhuangdao Hebei 066004 China Absra Inrodues basi hpoheses and basi iewpoin of spae-ime in speial relaii.
Voltage level shifting
rek Applicaion Noe Number 1 r. Maciej A. Noras Absrac A brief descripion of volage shifing circuis. 1 Inroducion In applicaions requiring a unipolar A volage signal, he signal may be delivered from a bi-polar
Inductance and Transient Circuits
Chaper H Inducance and Transien Circuis Blinn College - Physics 2426 - Terry Honan As a consequence of Faraday's law a changing curren hrough one coil induces an EMF in anoher coil; his is known as muual
WHAT ARE OPTION CONTRACTS?
WHAT ARE OTION CONTRACTS? By rof. Ashok anekar An oion conrac is a derivaive which gives he righ o he holder of he conrac o do 'Somehing' bu wihou he obligaion o do ha 'Somehing'. The 'Somehing' can be
PHYSICS 151 Notes for Online Lecture 2.2
PHYSICS 151 otes for Online Lecture. A free-bod diagra is a wa to represent all of the forces that act on a bod. A free-bod diagra akes solving ewton s second law for a given situation easier, because
17 Laplace transform. Solving linear ODE with piecewise continuous right hand sides
7 Laplace ransform. Solving linear ODE wih piecewise coninuous righ hand sides In his lecure I will show how o apply he Laplace ransform o he ODE Ly = f wih piecewise coninuous f. Definiion. A funcion
Internet Appendix to Product Market Competition, Insider Trading and Stock Market Efficiency *
Inerne Appendix o Produc Marke Copeiion, Insider Trading and Sock Marke Efficiency * In his appendix, we verify ha our resuls are robus o a nuber of changes. We firs confir ha hey are insensiive o he definiion
11/6/2013. Chapter 14: Dynamic AD-AS. Introduction. Introduction. Keeping track of time. The model s elements
Inroducion Chaper 14: Dynamic D-S dynamic model of aggregae and aggregae supply gives us more insigh ino how he economy works in he shor run. I is a simplified version of a DSGE model, used in cuing-edge
CHARGE AND DISCHARGE OF A CAPACITOR
REFERENCES RC Circuis: Elecrical Insrumens: Mos Inroducory Physics exs (e.g. A. Halliday and Resnick, Physics ; M. Sernheim and J. Kane, General Physics.) This Laboraory Manual: Commonly Used Insrumens:
4 Convolution. Recommended Problems. x2[n] 1 2[n]
![4 Convolution. Recommended Problems. x2[n] 1 2[n]](/thumbs/40/21827733.jpg "4 Convolution. Recommended Problems. x2[n] 1 2[n]")
4 Convoluion Recommended Problems P4.1 This problem is a simple example of he use of superposiion. Suppose ha a discree-ime linear sysem has oupus y[n] for he given inpus x[n] as shown in Figure P4.1-1.
MTH6121 Introduction to Mathematical Finance Lesson 5
26 MTH6121 Inroducion o Mahemaical Finance Lesson 5 Conens 2.3 Brownian moion wih drif........................... 27 2.4 Geomeric Brownian moion........................... 28 2.5 Convergence of random
AP Calculus AB 2013 Scoring Guidelines
AP Calculus AB 1 Scoring Guidelines The College Board The College Board is a mission-driven no-for-profi organizaion ha connecs sudens o college success and opporuniy. Founded in 19, he College Board was
1 HALF-LIFE EQUATIONS
R.L. Hanna Page HALF-LIFE EQUATIONS The basic equaion ; he saring poin ; : wrien for ime: x / where fracion of original maerial and / number of half-lives, and / log / o calculae he age (# ears): age (half-life)
Name: Algebra II Review for Quiz #13 Exponential and Logarithmic Functions including Modeling
Name: Algebra II Review for Quiz #13 Exponenial and Logarihmic Funcions including Modeling TOPICS: -Solving Exponenial Equaions (The Mehod of Common Bases) -Solving Exponenial Equaions (Using Logarihms)
Return Calculation of U.S. Treasury Constant Maturity Indices
Reurn Calculaion of US Treasur Consan Mauri Indices Morningsar Mehodolog Paper Sepeber 30 008 008 Morningsar Inc All righs reserved The inforaion in his docuen is he proper of Morningsar Inc Reproducion
Can Blog Communication Dynamics be correlated with Stock Market Activity? Munmun De Choudhury Hari Sundaram Ajita John Dorée Duncan Seligmann
Can Blog Communiaion Dynamis be orrelaed wih Sok Marke Aiviy? Munmun De Choudhury Hari Sundaram Ajia John Dorée Dunan Seligmann Ars Media & Engineering Arizona Sae Universiy Collaboraive Appliaions Researh
Signal Processing and Linear Systems I
Sanford Universiy Summer 214-215 Signal Processing and Linear Sysems I Lecure 5: Time Domain Analysis of Coninuous Time Sysems June 3, 215 EE12A:Signal Processing and Linear Sysems I; Summer 14-15, Gibbons
Option Put-Call Parity Relations When the Underlying Security Pays Dividends
Inernaional Journal of Business and conomics, 26, Vol. 5, No. 3, 225-23 Opion Pu-all Pariy Relaions When he Underlying Securiy Pays Dividends Weiyu Guo Deparmen of Finance, Universiy of Nebraska Omaha,
4. International Parity Conditions
4. Inernaional ariy ondiions 4.1 urchasing ower ariy he urchasing ower ariy ( heory is one of he early heories of exchange rae deerminaion. his heory is based on he concep ha he demand for a counry's currency
Stochastic Optimal Control Problem for Life Insurance
Sochasic Opimal Conrol Problem for Life Insurance s. Basukh 1, D. Nyamsuren 2 1 Deparmen of Economics and Economerics, Insiue of Finance and Economics, Ulaanbaaar, Mongolia 2 School of Mahemaics, Mongolian
RC (Resistor-Capacitor) Circuits. AP Physics C
(Resisor-Capacior Circuis AP Physics C Circui Iniial Condiions An circui is one where you have a capacior and resisor in he same circui. Suppose we have he following circui: Iniially, he capacior is UNCHARGED
PROFIT TEST MODELLING IN LIFE ASSURANCE USING SPREADSHEETS PART ONE
Profi Tes Modelling in Life Assurance Using Spreadshees PROFIT TEST MODELLING IN LIFE ASSURANCE USING SPREADSHEETS PART ONE Erik Alm Peer Millingon 2004 Profi Tes Modelling in Life Assurance Using Spreadshees
A Re-examination of the Joint Mortality Functions
Norh merican cuarial Journal Volume 6, Number 1, p.166-170 (2002) Re-eaminaion of he Join Morali Funcions bsrac. Heekung Youn, rkad Shemakin, Edwin Herman Universi of S. Thomas, Sain Paul, MN, US Morali
Technical Appendix to Risk, Return, and Dividends
Technical Appendix o Risk, Reurn, and Dividends Andrew Ang Columbia Universiy and NBER Jun Liu UC San Diego This Version: 28 Augus, 2006 Columbia Business School, 3022 Broadway 805 Uris, New York NY 10027,
Lecture 24: Spinodal Decomposition: Part 3: kinetics of the
Leture 4: Spinodal Deoposition: Part 3: kinetis of the oposition flutuation Today s topis Diffusion kinetis of spinodal deoposition in ters of the onentration (oposition) flutuation as a funtion of tie:
Answer, Key Homework 2 David McIntyre 45123 Mar 25, 2004 1
Answer, Key Homework 2 Daid McInyre 4123 Mar 2, 2004 1 This prin-ou should hae 1 quesions. Muliple-choice quesions may coninue on he ne column or page find all choices before making your selecion. The
Differential Equations. Solving for Impulse Response. Linear systems are often described using differential equations.
Differenial Equaions Linear sysems are ofen described using differenial equaions. For example: d 2 y d 2 + 5dy + 6y f() d where f() is he inpu o he sysem and y() is he oupu. We know how o solve for y given
How To Calculate Price Elasiciy Per Capia Per Capi
Price elasiciy of demand for crude oil: esimaes for 23 counries John C.B. Cooper Absrac This paper uses a muliple regression model derived from an adapaion of Nerlove s parial adjusmen model o esimae boh
Chapter 4: Exponential and Logarithmic Functions
Chaper 4: Eponenial and Logarihmic Funcions Secion 4.1 Eponenial Funcions... 15 Secion 4. Graphs of Eponenial Funcions... 3 Secion 4.3 Logarihmic Funcions... 4 Secion 4.4 Logarihmic Properies... 53 Secion
ON THE PRICING OF EQUITY-LINKED LIFE INSURANCE CONTRACTS IN GAUSSIAN FINANCIAL ENVIRONMENT
Teor Imov r.amaem.sais. Theor. Probabiliy and Mah. Sais. Vip. 7, 24 No. 7, 25, Pages 15 111 S 94-9(5)634-4 Aricle elecronically published on Augus 12, 25 ON THE PRICING OF EQUITY-LINKED LIFE INSURANCE
AP Calculus AB 2010 Scoring Guidelines
AP Calculus AB 1 Scoring Guidelines The College Board The College Board is a no-for-profi membership associaion whose mission is o connec sudens o college success and opporuniy. Founded in 1, he College
A Multi-factor Jump-Diffusion Model for Commodities 1
A Muli-facor Jup-Diffusion Model for Coodiies JOHN CROSBY Lloyds SB Financial Markes, nd floor, Gresha Sree, London ECV 7AE Eail address: johnc5@yahoo.co h July 5, revised 7 h Ocober 6 Acknowledgeens:
2.5 Life tables, force of mortality and standard life insurance products
Soluions 5 BS4a Acuarial Science Oford MT 212 33 2.5 Life ables, force of moraliy and sandard life insurance producs 1. (i) n m q represens he probabiliy of deah of a life currenly aged beween ages + n
Second Order Linear Differential Equations
Second Order Linear Differenial Equaions Second order linear equaions wih consan coefficiens; Fundamenal soluions; Wronskian; Exisence and Uniqueness of soluions; he characerisic equaion; soluions of homogeneous
Signal Rectification
9/3/25 Signal Recificaion.doc / Signal Recificaion n imporan applicaion of juncion diodes is signal recificaion. here are wo ypes of signal recifiers, half-wae and fullwae. Le s firs consider he ideal
Random Walk in 1-D. 3 possible paths x vs n. -5 For our random walk, we assume the probabilities p,q do not depend on time (n) - stationary
Random Walk in -D Random walks appear in many cones: diffusion is a random walk process undersanding buffering, waiing imes, queuing more generally he heory of sochasic processes gambling choosing he bes
The Euro. Optimal Currency Areas. The Problem. The Euro. The Proposal. The Proposal
The Euro E Opial Currency Areas ( σ ( r The Euro is an exaple of a currency union. The naions abandoned independen oneary auhoriy o ge a coon currency. Lecures in Macroeconoics- Charles W. Upon Opial Currency
Morningstar Investor Return
Morningsar Invesor Reurn Morningsar Mehodology Paper Augus 31, 2010 2010 Morningsar, Inc. All righs reserved. The informaion in his documen is he propery of Morningsar, Inc. Reproducion or ranscripion
Part II Converter Dynamics and Control
Par II onverer Dynamics and onrol 7. A equivalen circui modeling 8. onverer ransfer funcions 9. onroller design 1. Inpu filer design 11. A and D equivalen circui modeling of he disconinuous conducion mode
AP Calculus AB 2007 Scoring Guidelines
AP Calculus AB 7 Scoring Guidelines The College Board: Connecing Sudens o College Success The College Board is a no-for-profi membership associaion whose mission is o connec sudens o college success and
PRICING CDS INDEX OPTIONS UNDER INCOMPLETE INFORMATION
PRICING CDS INDEX OPTIONS UNDER INCOMPLETE INFORMATION ALEXANDER HERBERTSSON AND RÜDIGER FREY Absrac. We derive pracical forulas for CDS index spreads in a credi risk odel under incoplee inforaion. The
Suggested Reading. Signals and Systems 4-2
4 Convoluion In Lecure 3 we inroduced and defined a variey of sysem properies o which we will make frequen reference hroughou he course. Of paricular imporance are he properies of lineariy and ime invariance,
AP Calculus BC 2010 Scoring Guidelines
AP Calculus BC Scoring Guidelines The College Board The College Board is a no-for-profi membership associaion whose mission is o connec sudens o college success and opporuniy. Founded in, he College Board
Module 4. Single-phase AC circuits. Version 2 EE IIT, Kharagpur
Module 4 Single-phase A circuis ersion EE T, Kharagpur esson 5 Soluion of urren in A Series and Parallel ircuis ersion EE T, Kharagpur n he las lesson, wo poins were described:. How o solve for he impedance,
Research on Inventory Sharing and Pricing Strategy of Multichannel Retailer with Channel Preference in Internet Environment
Vol. 7, No. 6 (04), pp. 365-374 hp://dx.doi.org/0.457/ijhi.04.7.6.3 Research on Invenory Sharing and Pricing Sraegy of Mulichannel Reailer wih Channel Preference in Inerne Environmen Hanzong Li College
Pulse-Width Modulation Inverters
SECTION 3.6 INVERTERS 189 Pulse-Widh Modulaion Inverers Pulse-widh modulaion is he process of modifying he widh of he pulses in a pulse rain in direc proporion o a small conrol signal; he greaer he conrol
Present Value Methodology
Presen Value Mehodology Econ 422 Invesmen, Capial & Finance Universiy of Washingon Eric Zivo Las updaed: April 11, 2010 Presen Value Concep Wealh in Fisher Model: W = Y 0 + Y 1 /(1+r) The consumer/producer
Lectures # 5 and 6: The Prime Number Theorem.
Lecures # 5 and 6: The Prime Number Theorem Noah Snyder July 8, 22 Riemann s Argumen Riemann used his analyically coninued ζ-funcion o skech an argumen which would give an acual formula for π( and sugges
GNSS software receiver sampling noise and clock jitter performance and impact analysis
Inernaional Global Navigaion Saellie Sysems Soiey IGNSS Symposium 3 Ourigger Gold Coas, Qld Ausralia 6-8 July, 3 GNSS sofware reeiver sampling noise and lok performane and impa analysis Chen JianYun ()
A Note on Using the Svensson procedure to estimate the risk free rate in corporate valuation
A Noe on Using he Svensson procedure o esimae he risk free rae in corporae valuaion By Sven Arnold, Alexander Lahmann and Bernhard Schwezler Ocober 2011 1. The risk free ineres rae in corporae valuaion
Chapter 8: Regression with Lagged Explanatory Variables
Chaper 8: Regression wih Lagged Explanaory Variables Time series daa: Y for =1,..,T End goal: Regression model relaing a dependen variable o explanaory variables. Wih ime series new issues arise: 1. One
The Torsion of Thin, Open Sections
EM 424: Torsion of hin secions 26 The Torsion of Thin, Open Secions The resuls we obained for he orsion of a hin recangle can also be used be used, wih some qualificaions, for oher hin open secions such
Capacitors and inductors
Capaciors and inducors We coninue wih our analysis of linear circuis by inroducing wo new passive and linear elemens: he capacior and he inducor. All he mehods developed so far for he analysis of linear
Optimal Investment and Consumption Decision of Family with Life Insurance
Opimal Invesmen and Consumpion Decision of Family wih Life Insurance Minsuk Kwak 1 2 Yong Hyun Shin 3 U Jin Choi 4 6h World Congress of he Bachelier Finance Sociey Torono, Canada June 25, 2010 1 Speaker
DYNAMIC MODELS FOR VALUATION OF WRONGFUL DEATH PAYMENTS
DYNAMIC MODELS FOR VALUATION OF WRONGFUL DEATH PAYMENTS Hong Mao, Shanghai Second Polyechnic Universiy Krzyszof M. Osaszewski, Illinois Sae Universiy Youyu Zhang, Fudan Universiy ABSTRACT Liigaion, exper
Hedging with Forwards and Futures
Hedging wih orwards and uures Hedging in mos cases is sraighforward. You plan o buy 10,000 barrels of oil in six monhs and you wish o eliminae he price risk. If you ake he buy-side of a forward/fuures
HW 2. Q v. kt Step 1: Calculate N using one of two equivalent methods. Problem 4.2. a. To Find:
HW 2 Proble 4.2 a. To Find: Nuber of vacancies per cubic eter at a given teperature. b. Given: T 850 degrees C 1123 K Q v 1.08 ev/ato Density of Fe ( ρ ) 7.65 g/cc Fe toic weight of iron ( c. ssuptions:
HUT, TUT, LUT, OU, ÅAU / Engineering departments Entrance examination in mathematics May 25, 2004
HUT, TUT, LUT, OU, ÅAU / Engineeing depamens Enane examinaion in mahemais May 5, 4 Insuions. Reseve a sepaae page fo eah poblem. Give you soluions in a lea fom inluding inemediae seps. Wie a lean opy of
The Derivative of a Constant is Zero
Sme Simple Algrihms fr Calculaing Derivaives The Derivaive f a Cnsan is Zer Suppse we are l ha x x where x is a cnsan an x represens he psiin f an bjec n a sraigh line pah, in her wrs, he isance ha he
Risk Modelling of Collateralised Lending
Risk Modelling of Collaeralised Lending Dae: 4-11-2008 Number: 8/18 Inroducion This noe explains how i is possible o handle collaeralised lending wihin Risk Conroller. The approach draws on he faciliies
Permutations and Combinations
Permuaions and Combinaions Combinaorics Copyrigh Sandards 006, Tes - ANSWERS Barry Mabillard. 0 www.mah0s.com 1. Deermine he middle erm in he expansion of ( a b) To ge he k-value for he middle erm, divide
Relationship between stock index and increments of stock market trading accounts
Relaionship beween sock index and increens of sock arke rading accouns Zhenlong Zheng, Yangshu Liu Zhenlong Zheng, a professor fro Deparen of Finance, Xiaen Universiy, Xiaen, Fujian, 6005, China. E-ail:
Differential Equations
31 C H A P T E R Differenial Equaions Change is inrinsic in he universe and in he world around us; he world is in moion. Aemps o undersand and predic change ofen involve creaing models reflecing raes of
Time Series Analysis Using SAS R Part I The Augmented Dickey-Fuller (ADF) Test
ABSTRACT Time Series Analysis Using SAS R Par I The Augmened Dickey-Fuller (ADF) Tes By Ismail E. Mohamed The purpose of his series of aricles is o discuss SAS programming echniques specifically designed
Estimation of Point Rainfall Frequencies
Me Éireann Irish Meeorologial Servie Tehnial Noe 6 Esimaion of Poin Rainfall requenies D.L. izgerald Me Éireann, Glasnevin Hill, Dublin 9, Ireland UDC: 55.577.37 45 Oober, 2007 ISSN 393-905X ESTIMATION
Dependent Interest and Transition Rates in Life Insurance
Dependen Ineres and ransiion Raes in Life Insurance Krisian Buchard Universiy of Copenhagen and PFA Pension January 28, 2013 Absrac In order o find marke consisen bes esimaes of life insurance liabiliies
I. Basic Concepts (Ch. 1-4)
(Ch. 1-4) A. Real vs. Financial Asses (Ch 1.2) Real asses (buildings, machinery, ec.) appear on he asse side of he balance shee. Financial asses (bonds, socks) appear on boh sides of he balance shee. Creaing
9. Capacitor and Resistor Circuits
ElecronicsLab9.nb 1 9. Capacior and Resisor Circuis Inroducion hus far we have consider resisors in various combinaions wih a power supply or baery which provide a consan volage source or direc curren
Why Did the Demand for Cash Decrease Recently in Korea?
Why Did he Demand for Cash Decrease Recenly in Korea? Byoung Hark Yoo Bank of Korea 26. 5 Absrac We explores why cash demand have decreased recenly in Korea. The raio of cash o consumpion fell o 4.7% in
Astable multivibrator using the 555 IC.(10)
Visi hp://elecronicsclub.cjb.ne for more resources THE 555 IC TIMER The 555 IC TIMER.(2) Monosable mulivibraor using he 555 IC imer...() Design Example 1 wih Mulisim 2001 ools and graphs..(8) Lile descripion
Steps for D.C Analysis of MOSFET Circuits
10/22/2004 Seps for DC Analysis of MOSFET Circuis.doc 1/7 Seps for D.C Analysis of MOSFET Circuis To analyze MOSFET circui wih D.C. sources, we mus follow hese five seps: 1. ASSUME an operaing mode 2.
Cointegration: The Engle and Granger approach
Coinegraion: The Engle and Granger approach Inroducion Generally one would find mos of he economic variables o be non-saionary I(1) variables. Hence, any equilibrium heories ha involve hese variables require
Insights into the Market Impact of Different Investment Styles
Insighs ino he Marke Ipa of Differen Invesen Syles Ron Bird a*, Lorenzo Casavehia a, aul Woolley b The aul Woolley Cenre @ UTS Working aper Series May 2008 a The aul Woolley Cenre for Capial Marke Dysfunionaliy,
The Kinetics of the Stock Markets
Asia Pacific Managemen Review (00) 7(1), 1-4 The Kineics of he Sock Markes Hsinan Hsu * and Bin-Juin Lin ** (received July 001; revision received Ocober 001;acceped November 001) This paper applies he
PRESSURE BUILDUP. Figure 1: Schematic of an ideal buildup test
Tom Aage Jelmer NTNU Dearmen of Peroleum Engineering and Alied Geohysics PRESSURE BUILDUP I is difficul o kee he rae consan in a roducing well. This is no an issue in a buildu es since he well is closed.
1 A B C D E F G H I J K L M N O P Q R S { U V W X Y Z 1 A B C D E F G H I J K L M N O P Q R S { U V W X Y Z
o ffix uden abel ere uden ame chool ame isric ame/ ender emale ale onh ay ear ae of irh an eb ar pr ay un ul ug ep c ov ec as ame irs ame lace he uden abel ere ae uden denifier chool se nly rined in he
Research and application of estimation method for software cost estimation based on Putnam model
Available online www.jocpr.co Journal of Cheical an Pharaceuical Research, 014, 6(7:617-66 Research Aricle ISSN : 0975-784 COEN(USA : JCPRC5 Research an applicaion of esiaion eho for sofware cos esiaion
A Puzzle of Card Payment Pricing: Why Are Merchants Still Accepting Card Payments? Fumiko Hayashi 1. December 28, 2004
Puzzle o Card Payen Priing: Why re Merhans Sill eing Card Payens? Fuiko Hayashi eeber 8, 4 Payens Syse Researh, Federal Reserve Bank o Kansas Ciy Working Paer WP4- Preliinary: Please do no ie or quoe wihou
Module 3. R-L & R-C Transients. Version 2 EE IIT, Kharagpur
Module 3 - & -C Transiens esson 0 Sudy of DC ransiens in - and -C circuis Objecives Definiion of inducance and coninuiy condiion for inducors. To undersand he rise or fall of curren in a simple series
Full-wave rectification, bulk capacitor calculations Chris Basso January 2009
ull-wave recificaion, bulk capacior calculaions Chris Basso January 9 This shor paper shows how o calculae he bulk capacior value based on ripple specificaions and evaluae he rms curren ha crosses i. oal
Measuring macroeconomic volatility Applications to export revenue data, 1970-2005
FONDATION POUR LES ETUDES ET RERS LE DEVELOPPEMENT INTERNATIONAL Measuring macroeconomic volailiy Applicaions o expor revenue daa, 1970-005 by Joël Cariolle Policy brief no. 47 March 01 The FERDI is a
The Greek financial crisis: growing imbalances and sovereign spreads. Heather D. Gibson, Stephan G. Hall and George S. Tavlas
The Greek financial crisis: growing imbalances and sovereign spreads Heaher D. Gibson, Sephan G. Hall and George S. Tavlas The enry The enry of Greece ino he Eurozone in 2001 produced a dividend in he
Answer, Key Homework 7 David McIntyre 45123 Mar 25, 2004 1
Answer, Key Hoework 7 David McIntyre 453 Mar 5, 004 This print-out should have 4 questions. Multiple-choice questions ay continue on the next colun or page find all choices before aking your selection.
Fourier Series and Fourier Transform
Fourier Series and Fourier ransform Complex exponenials Complex version of Fourier Series ime Shifing, Magniude, Phase Fourier ransform Copyrigh 2007 by M.H. Perro All righs reserved. 6.082 Spring 2007
Forecasting Sales: A Model and Some Evidence from the Retail Industry. Russell Lundholm Sarah McVay Taylor Randall
Forecasing Sales: A odel and Some Evidence from he eail Indusry ussell Lundholm Sarah cvay aylor andall Why forecas financial saemens? Seems obvious, bu wo common criicisms: Who cares, can we can look
Journal Of Business & Economics Research September 2005 Volume 3, Number 9
Opion Pricing And Mone Carlo Simulaions George M. Jabbour, (Email: jabbour@gwu.edu), George Washingon Universiy Yi-Kang Liu, (yikang@gwu.edu), George Washingon Universiy ABSTRACT The advanage of Mone Carlo
Usefulness of the Forward Curve in Forecasting Oil Prices
Usefulness of he Forward Curve in Forecasing Oil Prices Akira Yanagisawa Leader Energy Demand, Supply and Forecas Analysis Group The Energy Daa and Modelling Cener Summary When people analyse oil prices,