On objective functions in topology optimization for vibration and wave propagation problems

Abstract eng:
This paper deals with the topological design of continuum structures for vibration and wave propagation problems. Different definitions of objective fimctions for minimizing vibration response and transmission are compared, and a new optimization model is proposed for minimizing the vibration response and the material used. The minimization of vibration transmission is also related with the bandgap design of wave propagation. Plane and plate structures are optimized using different optimization formulations in numerical examples. The influence of excitation frequencies, the eigenfrequencies of the structure, and damping are discussed in the numerical examples.

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