Entropy-based method for topological optimization of truss structures

摘要

This paper presents an entropy-based topological optimization method for truss structures. To begin with, a group of variables which mean the density distribution of structural strain energy are introduced. By the variables, a bridge between the energy distribution and topological optimization of trusses is constructed so that the problem of searching for optimal topology is transformed into a problem of finding out the optimum distribution of the strain energy. Once, then, the energy distribution is known, the optimal cross-sectional areas of elements are found out. The above two steps are executed in turn till the convergence is reached. Next, the stiffness and strength reliability corresponding to the final topological structure is computed with the reasonable result.