Selection of integral functions for normal mode analysis in topology optimization

摘要

This article investigates topology optimization for normal mode analysis using a moving iso-surface threshold method. Fundamental natural frequency needs to be calculated for many engineering structures and maximizing its value is an interesting topic in topology optimization. Optimal design for the maximum fundamental frequency may appear to be a trivial issue or impractical design. Reinforcements by introducing non-designable elements and non-structural mass or concentrated mass are often used. In this article, these issues will be solved by choosing an appropriate F function that is an integral function in the moving iso-surface threshold method. The proposed F function is expressed as strain and kinetic energy densities for a series of normal modes. By selecting the energy densities of different mode shapes, optimal topologies to maximize structural fundamental frequency are studied.