Lecture 6 Remote Boundary Conditions and

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Lecture 6 Remote Boundary Conditions and Constraint Equations 16.0 Release Introduction to ANSYS Mechanical 1 2015 ANSYS, Inc. February 27, 2015

Chapter Overview In this chapter we introduce the concepts and uses for Remote Boundary Conditions: A. Definitions B. Remote Points C. Behavior Control D. Pinball Control E. Remote Point Sharing F. Display Options G. Workshop 6.1, Remote Boundary Conditions H. Appendix 2 2015 ANSYS, Inc. February 27, 2015

A. Definitions Remote boundary conditions provide a means to apply a condition whose center of action is not located where the condition is scoped (i.e, remotely ). Remote Boundary Conditions include: Point masses, thermal point masses, springs, joints, remote displacement, remote force and moment loads. As the list above implies, not all the items constitute a boundary condition. Common features of all remote conditions: All use MPC contact constraint equations in the application of the condition. Geometry behavior can be set to rigid, deformable or coupled. Large numbers of remote conditions can be costly in terms of solution times. 3 2015 ANSYS, Inc. February 27, 2015

B. Remote Points A remote point can be defined at an arbitrary location and is then scoped to the existing geometry where desired. A specific condition (described earlier) is then applied to the remote point. Remote Force Example 4 2015 ANSYS, Inc. February 27, 2015

... Remote Points Remote points occur automatically when a remote BC is defined. The coordinates shown in the details indicate the location of the remote point. Locations can be in terms of global or local coordinates. A point associated with a remote boundary condition can be promoted to an independent remote point via RMB. Additional Controls: Remote boundary conditions contain a behavior control that allow rigid, deformable or coupled settings. Pinball Region allows a reduction in the amount of constraint equations used. DOF Selection allows independent selection of the degrees of freedom associated with the remote condition. Each is discussed next... 5 2015 ANSYS, Inc. February 27, 2015

C. Behavior Control Several examples are included to illustrate the rigid/deformable option: Example of a remote force scoped to the face shown in red: Deformable Rigid 6 2015 ANSYS, Inc. February 27, 2015

... Behavior Control A remote displacement scoped to the yellow face with all directions free except the out of plane, Z direction: Notice in the deformable case the circular section has become egg shaped whereas the rigid section maintains its circular shape. Deformable Rigid 7 2015 ANSYS, Inc. February 27, 2015

... Behavior Control A remote displacement scoped to the end of the beam. The coupled option is chosen. With all DOF active notice the beam end remains in plane (the scoped face contains no Z deformation because the remote point contains none). In this case the Z DOF is set inactive. Thus the scoped face is free to deform in the Z direction. 8 2015 ANSYS, Inc. February 27, 2015

D. Pinball Control Large numbers of constraint equations can slow down compute times or cause over-constraint conditions. The Pinball Region settings allows the number of constraint equations to be limited as well as controlling their location: Default setting = All (note, to return to the default enter zero 0 ). If the default ( All ) is active, no pinball is displayed graphically. If a value is entered for the pinball region, a sphere representing the pinball is displayed. Note: if a pinball region is defined such that no part penetrates the scoped region, no constraint equations are written and an error message will be displayed. 9 2015 ANSYS, Inc. February 27, 2015

... Pinball Control Notice when the pinball region is defined, only parts of the scoped region that are penetrated by the pinball have constraint equations defined. Constraint Equations Scope Constraint Equations 10 2015 ANSYS, Inc. February 27, 2015

E. Remote Point Sharing Since each remote condition defines its own remote point and constraint equations, multiple conditions can adversely affect solution times. In cases where multiple remote conditions share a remote location, a single remote point can be used for all conditions: Remote points are created in advance of the remote boundary conditions. Notice the details for each remote point contain all the same settings discussed earlier. If remote points exist in the model, remote boundary conditions can be scoped to them. 11 2015 ANSYS, Inc. February 27, 2015

Remote Point Sharing Once a remote boundary condition is set on the analysis branch, remote point can be promoted to be reused on other conditions: RMB on remote Boundary condition > Promote to remote point Remote point becomes accessible in the tree outline: Details of remote point remain unchanged Remote point can be renamed 12 2015 ANSYS, Inc. February 27, 2015

Remote Point Sharing Details of remote boundary condition have changed: - Scoping method is now remote point - Remote point coordinates and behavior cannot be changed from this details window. Any change has to be done on remote point details window. - New Boundary condition can be scoped on this remote point. 13 2015 ANSYS, Inc. February 27, 2015

F. Display Options Constraint equations generated by remote boundary conditions can be displayed graphically by configuring the FE Connection Visibility settings and clicking the Graphics tab. Display Options: Activate Visibility by default is set to Yes. For maximum performance on large models, or if you know you will never view FE connections you can set this to No prior to solving. Can display all connections or filter by type. Option to display connections on results plots. Control cosmetics (e.g. color, line versus point, etc.). RMB > Export FE Connections from the solution information branch allows details for FE connections to be exported. The current visibility settings control the content of the export. 14 2015 ANSYS, Inc. February 27, 2015

... Display Options As stated earlier, remote boundary conditions are defined using constraint equations (CE). Several other FE connections exist which can also be displayed and exported. Beam based connections are used to define spot welds. Weak springs are applied to a model when a structural under-constraint condition is possible. Export FE Connections will create a text file containing all constraint equations written in ANSYS MAPDL command language. 15 2015 ANSYS, Inc. February 27, 2015

... Display Options Examples of FE Connection display options: 16 2015 ANSYS, Inc. February 27, 2015

G. Workshop 6.1 Workshop 6.1 Remote Boundary Conditions 17 2015 ANSYS, Inc. February 27, 2015

H. APPENDIX Constraint Equations CE Exemple 18 2015 ANSYS, Inc. February 27, 2015

Constraint Equations Constraint equations allow you to relate the motion of different portions of a model through the use of an equation. The equation relates the degrees of freedom (DOF) of one or more remote points for Static and Transient Structural, Harmonic and Modal analysis systems. Constraint equations are linear combinations. Can be applied to joints when using the ANSYS Rigid Dynamics solver (not covered here). 19 2015 ANSYS, Inc. February 27, 2015

... Constraint Equations Constraint equations require the use of remote points as defined here in the desired locations. A constraint equation is added to the environment from the Conditions menu. 20 2015 ANSYS, Inc. February 27, 2015

... Constraint Equations The constraint equation is then constructed using the worksheet. New rows are added for each term in the expression by right clicking to Add. Fields for remote point and DOF selection are drop down choices in the worksheet. Coefficient values are entered as needed. Finally a constant value can be added in the details for the constraint equation. Examples follow... 21 2015 ANSYS, Inc. February 27, 2015

CE Example In this example a beam model is constrained at the end labeled C and loaded at point A as shown here. A UX = 10mm B A constraint equation is defined to control the movements at the point labeled B relative to point A : UAx = UBz What this relation says is, what point A does in the +X direction, point B must do in the +Z direction. C All DOF Fixed The equation can be re-written as: 0 = UBz - UAx 22 2015 ANSYS, Inc. February 27, 2015

... CE Example After inserting a constraint equation in the environment, the Worksheet is configured as shown here. X deformation at Point A Z deformation at Point B 23 2015 ANSYS, Inc. February 27, 2015

... CE Example Notice the expression is written above the worksheet columns. Coefficients Constant In this example both constants were set to unity (1) and the constant value to zero. Other values may be provided in different expressions. 24 2015 ANSYS, Inc. February 27, 2015

Workshop 6.2 Workshop 6.2 Constraint Equations Y X 25 2015 ANSYS, Inc. February 27, 2015