求解动力系统响应的高精度改进模态叠加算法

High Precision Improved Mode Superposition Algorithm for Dynamics System Response

为了求得更精确的动力系统响应值,该文提出了1个求解动力系统响应的高精度改进模态叠加算法。使用该算法,不仅可以得到系统低阶模态的响应值,而且可以利用较低阶模态响应信息得到系统高阶模态的响应近似值。相比于实用的改进模态叠加算法,该算法的适用载荷可以拓宽到普通载荷(如突变载荷)。该算法弥补了有限元分析忽略高阶信息的不足,还可以推广应用于利用动力子结构等求解模态信息的大型动力系统响应。文中给出了两个算例,计算结果表明高精度改进模态叠加算法精度远远好于传统的模态叠加算法。

In order to solve the response solution for dynamics system accurately, a high precision improved mode superposition algorithm is proposed. This algorithm is used to obtain the response values of the low-degree mode information and the high-degree mode response values approximately in terms of the lower degree mode response values information. Compared with the practical improved mode superposition algorithm, the calculable loads of the new algorithm can be broadened to common loads （e. g. break loads）. This new algorithm remedies the defect of the finite element analysis, which neglects the high-degree information. This algorithm may be used to solve the large dynamic system response which makes use of the dynamic substructure to get mode information. The results from the two examples given show that the accuracy of the high precision improved mode superposition algorithm is superior to the normal mode superposition algorithm.