Monte Carlo非线性反演方法在抗震结构优化设计中的应用

Application of Monte Carlo Nonlinear Method of Inversion for Astigmatic Structural Optimum Design

抗震结构的优化设计是一个多峰函数优化问题 ,其优化模型的维数高 ,并存在非线性等复杂因素 ,用传统确定性的计算式方法不易得出全局最优解 .MonteCarlo非线性反演方法对这类问题有很好的适应性 .根据一种新的抗震优化设计思想所建立的抗震优化设计数学模型 ,运用MonteCarlo非线性反演方法中的遗传算法进行抗震结构优化设计 ,通过对整个参数空间进行搜索 ,得到了抗震优化设计的主要参数 ,结果令人满意 .

Astigmatic structural optimization design is a multi modal optimization problem. It is very difficult to obtain global optimum solution by traditional method because the optimization function behaves non lineally and its order is very high.Monte Carlo Nonlinear Method of Inversion is very suitable for these kinds of problem. It has been carried out for an optimization procedure based on a new idea of astigmatic structural optimization design by Genetic Algorithms, the branch of Monte Carlo Nonlinear Method of Inversion.The obtained results are quite satisfactory.