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Topology Optimization for Frequency

Hendrik Mechanical Engineering

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Hi all

Is frequency maximization/minimization using Topology Opt. supported in COMSOL?

I am working with plate elements, and want to combine static/eigenfrequency steps, and use topology optimization to maximize the first eigenfrequency (Density Model)


2 Replies Last Post 17 avr. 2023, 08:24 UTC−4
Kristian Ejlebjærg Jensen COMSOL Employee

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Posted: 2 years ago 14 avr. 2023, 03:11 UTC−4
Updated: 2 years ago 14 avr. 2023, 03:12 UTC−4

Hi

Yes, the eigenvalue/frequency can be used as objective function when doing gradient based optimization over Eigenvalue/Eigenfrequency study steps in COMSOL 6.1. The stationary->Eigenvalue combination is not supported in COMSOL 6.1, but it is possible that you can rely on higher order discretization for the displacement to avoid checkboarding issues.

You can

  1. Open mbb_beam_optimization from the application library, and disable the Helmholtz filter while also using quadratic discretization for the displacement field. The optimization will produce a similar design (albeit somewhat slower).

  2. Open shell_eigenfrequency_shape_optimization to see an example of a minimax frequency objective.

You might be able to combine the ideas of #1 and #2 to solve your problem. If you encounter problems, you are welcome to contact comsol.com/support.

Best regards, Kristian E. Jensen Technical Product Manager, Optimization

Hi Yes, the eigenvalue/frequency can be used as objective function when doing gradient based optimization over Eigenvalue/Eigenfrequency study steps in COMSOL 6.1. The stationary->Eigenvalue combination is not supported in COMSOL 6.1, but it is possible that you can rely on higher order discretization for the displacement to avoid checkboarding issues. You can 1. Open mbb_beam_optimization from the application library, and disable the Helmholtz filter while also using quadratic discretization for the displacement field. The optimization will produce a similar design (albeit somewhat slower). 2. Open shell_eigenfrequency_shape_optimization to see an example of a minimax frequency objective. You might be able to combine the ideas of #1 and #2 to solve your problem. If you encounter problems, you are welcome to contact comsol.com/support. Best regards, Kristian E. Jensen Technical Product Manager, Optimization

Hendrik Mechanical Engineering

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Posted: 2 years ago 17 avr. 2023, 08:24 UTC−4
Updated: 2 years ago 19 avr. 2023, 09:53 UTC−4

Thanks for your reply.

Thanks for your reply.

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