计算具有区间参数结构特征值范围的一种新方法

基于区间效学的包含单调性和区间函效所表述的实际物理意义，把广义区间特征值问题转化为两个以非确定参效为优化变量，以关心的特征值为目标函效的全局优化问题，并采用遗传算法对优化问题求解，计算得到结构特征值的区间范围。通过效值算例对本文方法的有效性进行了验证，并和区间摄动法的计算结果进行了比较。

A new method for computing the eigenvalues bounds of structures with interval parameters

By representing uncertain structural parameters as interval numbers, a novel method for computing the upper and lower bounds of the eigenvalues of uncertain structures is proposed in this paper. Based on the inclusion monotone property in interval mathematics and the physical meaning expressed by interval functions, the problem to compute the bounds of the eigenvalues is transformed into two corresponding global optimization problems. In the optimization problems, the uncertain parameters are considered as optimization variables and the concerned eigenvalues are considered as the objective function. Moreover, a real-code genetic algorithm is used to solve these global optimization problems. Numerical results show that the results of interval perturbation method can be improved distinctly and the proposed method is effective.