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Structural topology optimization of vibrating structures with specified eigenfrequencies and eigenmode shapes
Author(s) -
Maeda Y.,
Nishiwaki S.,
Izui K.,
Yoshimura M.,
Matsui K.,
Terada K.
Publication year - 2006
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1626
Subject(s) - normal mode , topology optimization , vibration , topology (electrical circuits) , structural stability , actuator , mathematics , computer science , control theory (sociology) , finite element method , structural engineering , physics , engineering , acoustics , control (management) , combinatorics , artificial intelligence
In vibration optimization problems, eigenfrequencies are usually maximized in the optimization since resonance phenomena in a mechanical structure must be avoided, and maximizing eigenfrequencies can provide a high probability of dynamic stability. However, vibrating mechanical structures can provide additional useful dynamic functions or performance if desired eigenfrequencies and eigenmode shapes in the structures can be implemented. In this research, we propose a new topology optimization method for designing vibrating structures that targets desired eigenfrequencies and eigenmode shapes. Several numerical examples are presented to confirm that the method presented here can provide optimized vibrating structures applicable to the design of mechanical resonators and actuators. Copyright © 2006 John Wiley & Sons, Ltd.