混沌优化方法及其在机械工程中的应用

Chaos Optimization Method and Its Application to Mechanical Engineering

利用混沌运动的遍历性、内在随机性、“规律性”等特点 ,结合MATLAB5 .3.1高级程序设计语言的优化工具箱 ,提出了一种混沌约束优化算法。运用该算法编写了MATLAB优化的通用程序 ,并对机械工程中的优化问题进行了研究 ,得到了可靠且比现有广泛使用的优化方法更为有效的优化结果 ,具有很好的全局搜索能力。该算法简单、易于实现 ,求解精度、求解速度和可靠性较高 ,满足约束的效果较好 ,而且能处理混合离散优化变量 ,它为机械优化设计提供了一种实用方法与工具 ,值得推广与使用。

By the use of the properties of ergodicity,inherent stochastic property and“regularity”of chaos,a chaos optimization algorithm is proposed combining with optimization Toolbox of Matlab5.3.1 programming language.The programming is compiled with Matlab5.3.1 programming language.Optimization issues in mechanical engineering were researched with the chaos optimization algorithm.The optimization results are credible and much better than some existing optimization method widely used.The optimization algorithm is simple and easy to implement,and it has high rate of convergence,accuracy and reliability and a good effect to satisfy the demand of constraint and it can deal with mixed disperse variable.Also global optimization solutions can be obtained with chaos optimization algorithm.It provides a new method for mechanical design and it is worthy to extend and use.