遗传算法及正则化在荷载反问题中的应用

Genetic Algorithm Apply in Inverse Problems of Elasticity Structure

本文介绍了分别用遗传算法及正则化方法,求解弹性结构未知荷载反问题,并对反算结果进行了算例比较。首先,建立反问题的有限元数值模型,再将结构上有限个观测点的相对位移测量值带入数值方程,分别用遗传算法和正则化与遗传算法相结合的方法解决不适定问题,最后,对两种方法进行了算例比较。通过算例的分析表明:对反问题的求解,两者相结合的方法相对单纯应用遗传算法,可以更加稳定、有效的反算出未知荷载的大小。

The GA（genetic algorithm） and regularization method calculating the structure load in the inverse problems are presented in this paper, and they are compared with the result by the example. First,a discrete FEM model is established. Further the limited observation measurement of the structure is put into the numerical equation, then the two methods between using genetic algorithms and the combination of solutions using the GA and the regularization method are used to solve the ill-poesed. Finally,the two methods are compared. The analysis shows that the method of combining GA with the regularization method is available, and it can be more stable and effective to work out the unknown loads.