Optimization of structures with discrete variables under discrete dynamical loads

摘要

A model of optimization of structures with discrete variables under discrete dynamic loads is developed. First, a simple harmonic dynamic load is considered and the quasi-static algorithm is used to solve optimum solution. Other dynamic loads can be transformed into sum of a-few simple harmonic dynamic loads by using Taylor expansion. The structure optimization problem under dynamic stress and displacement constraints is converted into one subjected to static stress and displacement constraints. Multiconstraint problem is converted into single one by using the "coherent function" method. The relative difference quotient algorithm is used to find the optimum solution.