Kristian Ejlebjærg Jensen
                                                                                                                                                    COMSOL Employee
                                                         
                            
                                                                                                                                                
                         
                                                
    
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                                                Posted:
                            
                                3 years ago                            
                            
                                2023年4月14日 GMT+8 15:11                            
                        
                        Updated:
                            
                                3 years ago                            
                            
                                2023年4月14日 GMT+8 15:12                            
                        
                        
                                                    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
- 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). 
- 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:
                            
                                3 years ago                            
                            
                                2023年4月17日 GMT+8 20:24                            
                        
                        Updated:
                            
                                3 years ago                            
                            
                                2023年4月19日 GMT+8 21:53                            
                        
                        
                                                
                            Thanks for your reply.