Example 5: Topology Design to Maximize Modal Frequency

Use the model support.prt for this example.

Description

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

Highlighted features

Maximize modal frequency, Mass Fraction constraint

Optimization problem statement

The following optimization problem will be created and solved:

• Objective:

◦ Maximize first modal frequency

• Subject to:

◦ Mass fraction <= 0.3

Analysis

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

Analysis settings:

• Eigenvalue method: SMS

• Frequency search range: 0–1000

• Number of modes to find: 6

• Mode Tracking: No

Mesh control

Maximum element size: 4 mm

Topology region

• References:

The component, excluding volume region 1 and 2, as shown in the image below:

• Init. mass fraction: 0.3

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

• Fabrication constraints:

◦ None

Design objective

Maximize first modal frequency

Design constraint

Mass fraction <= 0.3

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