Topology Optimization for the Natural Frequency of Multibody Dynamics Systems With Multi-Functional Components

Abstract

The multi-functional components layout design problem, which may have various options associated with it, including passive, active, and reactive components in given multibody dynamics systems, is defined in this study. The defined layout design problem is able to address the objective functions that are related to the dynamic responses of multibody dynamics systems, rather than static responses. The target of the multi-functional components layout design problem in given multibody dynamics systems is to seek the optimal interactive system layout between given multiple multibody dynamics system in order to maximize or minimize the dynamic objective function. The governing equations for the interactive system and the given multibody dynamics systems are derived first. The optimization objective is the first order natural frequency of the multibody dynamics system with multi-functional components in this study. The sensitivity analysis was then implemented based on the system eigen equation. Two numerical examples are presented in this study, it shows that the topology optimization method can be applied to the multibody dynamics system natural frequency optimization successfully.

Linearization of embedded patterns for optimization of structural natural frequencies

“…This approach has already been used together with multiobjective optimization, where one can add more dynamic characteristics as objective functions. Examples in literature of this multi-objective approach refer to the optimum location of reinforcements of a vehicle hood considering bending flexibility, torsion flexibility, and the fundamental frequency [10], and the optimum layout of elastic elements to support a rigid body system considering the fundamental frequency and the stiffness of the elastic elements [11,12].…”