Abstract
Topology optimization has been successfully extended to a variety of dynamic problems such as the eigenfrequency maximization problem. In this paper, we shall discuss a method for obtaining optimal topologies for vibrating structures that have desired eigenfrequencies and eigenmodes, in order to successfully create mechanical resonator designs. First, the optimization problem is formulated, where the multi-objective functions consist of the square of residuals between desired multiple eigenfrequencies and eigenmodes, and the current ones. The optimization algorithm is constructed based on the grand structure approach and SLP (Sequential Linear Programming). Next, the characteristics of generated optimal solutions are examined using spring-mass and plane truss structural models. Finally, we clarify details among the numerous existing local optima and the effect that a volume constraint has upon the values of the objective functions.
