Example 2: Topology Design of a Circular Plate

Use the model circular_plate.prt for this example.

Description

This example demonstrates how to use topology optimization to design a light and stiff structure.

Highlighted features

Minimize Strain Energy, Mass Fraction constraint, Cyclic symmetry fabrication constraint, Extrude fabrication constraint

Optimization problem statement

The following optimization problem will be created and solved:

• Objective:

◦ Minimize Strain Energy

• Subject to:

◦ Mass fraction <= 0.4

With minimizing the strain energy as the objective, you want to get the stiffest structure under the given load for the allowable amount of material.

Analysis

The example contains one analysis. The loads and constraints are shown in the image below:

Mesh control

Maximum element size: 3 mm

Topology region

• References:

The plate component, excluding volume region 1, as shown in the image below:

• Init. mass fraction: 0.4

When mass fraction is used as a constraint, it is recommended to use the same constraint bound value as the initial mass fraction value.

• Fabrication constraints:

◦ Cyclic symmetry about Z axis of coordinate system CS0

◦ Extrude along Z axis of coordinate system CS0

◦ Minimum member size: 6 mm

It is recommended to set the minimum member size to at least twice the value of the mesh element size.

◦ Spread fraction: 0.5

Design objective

Minimize Strain Energy

Design constraint

Mass fraction <= 0.4

Optimization study

The study refers to the defined topology region, design objectives, and constraints

Advanced settings:

• For analysis output files, only the first and last cycle are requested.

• Use default settings for all other analysis and design parameters.

Topology Result

• Topology density isosurface

• Topology element density

Geometry Reconstruction

• Tessellated model

• Solid model