区间参数有大变化时的结构特征值分析

Eigenvalue analysis of structures with large variations of interval parameters

讨论了一种计算区间参数有大变化时特征值区间的新方法。利用Taylor展开和区间扩展理论,讨论多区间参数结构的特征值区间转换为单个区间参数下特征值区间的问题。Epsilon算法被用来求结构参数有大变化时的特征值,从而得到特征值的上、下界。最后,用一个数值算例说明该方法的实际应用,结果证明了该方法的高效性和正确性。

A new method for computing the interval eigenvalues of structures with large variations of interval parameters was discussed.Using the Taylor series and interval extension theory,the interval eigenvalue problems of structures with multi-interval-parameter can be transformed into that of single interval parameter.Epsilon-algorithm was used to obtain the eigenvalues of structures with large variations of parameters,thus obtaining the upper and lower bounds of eigenvalues.Finally,a numerical example was given ...