改进Ritz向量法在动态子结构分析中的应用

Application of improved Ritz vector method in vibrational characteristic analysis of substructure

将ＲｉｔＺ向量法改进后应用于动态子结构分析中，从理论上推导了用于自由振动 分析的精确公式。它一方面能克服盖恩（Ｇｕｙａｎ）应用静凝聚思想时所产生的计算误差， 同时又可以克服库哈（Ｋｕｈａｒ）采用动凝聚，进行反复迭代而产生的费机时和实用性 差的缺点。吕宪等人曾运用子空间迭代技术提出了一种适用于子结构自振分析的精确 方法；它虽成功地克服了库哈法实用性差的缺点；但仍要花费较多机时。本文提出的 改进方法，比上述几种方法都有较好的应用效果，达到了提高计算精度和节省机时、 内存的双重目的。

Ritz vector method in dynamic analysis is illustrated in detail, and is used under substructure. At the same time, the authors propose the improved Ritz vector method, and not only to calculate all characteristic vector but also to calculate frequencies and mode shapes of front m order. The velocity of calculation is faster than that with subspace iteration. Then the improved Ritz vector method is applied on dynamic substructure system. And accurate formu- lations of free─vibrational analysis are deduced on the substructure system. The shortcomings of Guyan method and Kuhar method are overcomed success- fully. Some examples of calculation are Provided. The properties, effectiveness and correctness of the method are verified.