About the Threehole Example

The lowest natural frequency is to be maximized in this example without a change in volume.

This page discusses:

About the Model

The following figure illustrates the initial model along with the first five eigenmodes.



The rim is modeled using 3D solid elements. Only the surface nodes of the rim holes are used as design nodes. Two load cases are considered. The loads are applied on the node in the middle of the mounting hole and transferred to the structure through RBE2 elements.

Procedure Summary

Note: This optimization task is a standard shape optimization task as described in the Holeplate example. The set-up including starting a SHAPE_CONTROLLER task, loading the model and definition of design area, design variable constraint and objective function can be done as described in the Getting Started Manual.

Model: threehole.ext
Design Area: Node group design_nodes
Design Variable Constraint: Fixation of the displacement along the global x-axis for the node group nodes_fix_x
Mesh Smooth: Mesh smoothing of all elements, while free surface nodes remain free
Objective: Maximize the first eigenfrequency
Constraint: Relative volume of 100 % (equality constraint)
Stop Condition The global stop condition is set to 5 iterations