Stochastic Topology Optimization of Continuum Structure
By assuming that the random parameters of a continuum structure obey the normal distribution, this paper utilized “normrnd” function in Matlab software to generate pseudo random numbers, analyzed structural stress by using finite element method, conducted topology optimization by using k nearest neighbor (KNN) method, and as such, the continuum structure has been stochastic topology optimized. The paper put forward the concept of “stochastic topology optimization”. Numerical examples are given. The results show that the stochastic topology optimization of continuum structure with random parameters is necessary.
Di Zheng, Yiqiang Wang, Yi-Min Deng, Aibing Yu and Weihua Li
J. K. Li and Y. M. Zhang, "Stochastic Topology Optimization of Continuum Structure", Applied Mechanics and Materials, Vols. 101-102, pp. 666-669, 2012