Structural Frequency Topology Optimization in Seismic Design Based on FEM Method

摘要

Owing to problems such as iterative sensitivity and complex degree of structural shape, the application of the topology optimization method in structural seismic design is limited. Furthermore, it is very difficult to choose appropriate constraint functions to meet optimization objective when commercial finite element software is used.However, if earthquake loads have been obtained, FEM (finite element model) method is an efficient way to apply the topology optimization to structural seismic design. ESO (evolutionary structural optimization) method and improved ESO method are both used to implement the single object optimization process for simple structures such as rectangular and circular pool. In the optimization process, the element connectivity parameterization formulation is used to solve an alternative to the element density formulation. As a result,some conclusion about frequency topology optimization in different structures is drawn. In addition, the application of multi-objective optimization to seismic design of structures is also discussed. The method proposed in this paper is benefit to realize structural frequency control in seismic design.