求特征值的新方法及在半解析法中的应用

The New Solution Method of Eigen Value and Application on Semi-Analytical Approach

本文提出了一种基于ｓｔｕｒｍ序列性质和两分法求特征值的方法，并应用于半解析法中．半解析法是瞬态分析的一种非常有效的解法，在选择最佳时域级数时，要确定结构的特征值，而不必求出相应的特征向量．本文介绍了求解特征值的原理、算法，并编制了程序．算例表明，该法具有较高的精度，可有效地支持半解析法．

In this paper,a new solution method of eigen ualue based on the sturm sequence property and bisection method is introduced and applicated on semi-analytical approach.Semi-analytical approach is a very efficient method for transient analysis.when the optimum series in time domain is selected,the eigen values of structure must be determinated but not the eigen vetors. The principle,algorithms of solution eigen value are presented and program is worked out.The examples show that this method has higher accuracy and can support semi-analytical approach effectively.