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
