关键词: 小波变换, 柔顺机构, 拓扑图提取, 棋盘格, 三次样条插值

Abstract:

In order to remove the checkerboard patterns in an optim ized topo logy so lution, w avelet transform and cub ic spline interpo lation are combined to perform the topo logy ex traction of a comp liantmechan ism. In the extract ion, firs,t the optim ized topology so lu tion ism apped into intermed iate variab les v ia nonlinear transformation to ensure the side constraints imposed on the direct topo logy variab les. Then, the intermed iate variab les are decomposed into approx imated and detail coeffic ients v iaw ave let transform, and the approx im ated coeffic ients are further treated v ia cub ic sp line interpo lation. A fter tha,t the approx im ated coe ff icients are reconstructed by w avelet and the corresponding topo logy result is obtained by the ant-i non linear transformat ion o f the reconstructed coeffic ients. F inally,based on the vo lume restriction of topo logy optim ization, the obta ined resu lt is evaluated and thew avelet decomposi-tion scale is determ ined. Experimenta l results show that the proposed a lgorithm can effective ly remove the checkerboard patterns in an optim ized topo logy solution and ex tract the expected topo logy o f a comp lian tmechan ism.

Key words: w velet transform, compliant mechanism, topology ex traction, checkerboard pattern, cub ic spline interpolation