对特征向量导数之动柔度法的补充

Development to Zhang/Wei's Dynamic Flexibility Method

一种计算很多特征向量导数的动柔度法在结构处于自由状态（具有刚体运动）下，因其工作方程之系数阵为满阵，使得计算效率不如结构处于约束状态下那样好、本文移频动柔度法可以消除原动柔度法的这一缺陷，因为它的工作方程之系数阵总是具有刚度阵那样的带状特点。另外，由于对动柔度采用的移频步骤与特征方程求解时的移频技术是一致的，故而对方法的程序化极为有利。

For a structure with rigid-body motion, a dynamic flexibility method for computing the eigenvector derivatives, which is proposed by author, possesses a following shortcoming: the coefficient matrix of governing equation in the method is a full matrix (K +). This matrix breaks the band-state of stiffness matrix K so that above-mentioned dynamic flexibility method has additional time consuming. For this, a shifting frequency technique is used to obtain a shifting frequency dynamic flexibillty formula and a shifting frequency dynamic flexibility method for computing eigenvector derivatives. The coefficient matrix of governing equation in this shifting frequency method is K+ =K+△λM, in which △λ indicates a constant (i. e. shifting frequency value ). Obviously, matrix K+ possesses the band-state of matrix K and is unsingular. From stated-above, the computational efficiency of shifting frequency dynamic flexibility method in this paper must be higher than that of original dynamic fIexibility rnethod for the case under considering.