AN EVOLUTIONARY TOPOLOGY OPTIMIZATION OF CONTINUUM STRUCTURE INTEGRATED WITH SHAPE OPTIMIZATION
This paper was concerned with an evolutionary integrated method of topology optimization and shape optimization. A level set model is established mathematically as the Hamilton-Jacobi equation to capture the motion of the free boundary of a continuum structure. The structural design boundary is thus described implicitly as the zero level set of a level set scalar function of higher dimension. But in practice the level set function must be re-initialized the signed distance function periodically. A new level set method for topology optimization is presented in this paper. Based on the characteristic of the boundary element method, a local structural topology optimization method is developed, using the level method, the narrow band is introduced in sensitivity to eliminate the computing time. Numerical examples are analyzed and compared. The present method avoids additional cost to globally reinitialize the level set function for regularization purpose. In particular, the proposed method is capable of creating new holes freely inside the design domain via boundary incorporating, splitting and merging processes, which makes the final design independent of initial guess, and helps reduce the probability of converging to a local minimum.
Topology optimization Level setmethods Eztension of velocity Sensitivity
Zebin Zhou Jianguo Yang Beizhi Li
School of Mechanical Engineering, Donghua University, Songjiang, Shanghai, China Corresponding
国际会议
上海
英文
1-6
2009-08-02（万方平台首次上网日期，不代表论文的发表时间）