摘要
利用导重法求解连续体结构拓扑优化问题,会出现多孔材料、棋盘格等数值不稳定现象,这种现象导致计算结果的可制造性差.将小波分析引入到导重法中,利用小波的多尺度分析的特点,去除设计变量场中的高频噪声,从而获得清晰的、可制造的拓扑结构.通过单工况和多工况两个典型算例进行分析和比较,结果显示出小波分析在消除数值不稳定现象中的高效性.
The phenomenon of numerical instability,such as porous materials and check-boards will take place when the problem of topology optimization of continuum structure is solved with guide-weight method and this phenomenon will lead to a poor manufacturability of the computation result.By means of introducing wavelet analysis into the guide-weight and taking the advantage method of the feature of wavelet multi-scale analysis,the high-frequency noise in the field of design variables is eliminated and a clear and manufacturable topologic structure is obtained thereby.Two typical examples with single load and multiple loads are analyzed and compared with each other and the result shows that the wavelet analysis is of high efficiency for elimination of numerical instability.
出处
《兰州理工大学学报》
CAS
北大核心
2015年第6期37-42,共6页
Journal of Lanzhou University of Technology
基金
国家自然科学基金(51265025)
关键词
数值不稳定
小波分析
多尺度分析
导重法
numerical instability
wavelet analysis
multi-scale analysis
guide-weight method
