动力响应问题的一阶摄动传递矩阵法  

The first ordered perturbance transmission matrix method of dynamic response problems

作　　者：桑广伟[1] 刘保国[1] 胡继云[1] 

机构地区：[1]河南工业大学机电工程学院,河南郑州450052

出　　处：《机械设计》2006年第8期20-22,62,共4页Journal of Machine Design

基　　金：河南省高校杰出科研人才创新工程(2005KYCX014);河南工业大学博士科研基金资助项目

摘　　要：基于Riccati传递矩阵法,给出了一维不确定参数结构系统动力响应问题的一阶摄动计算方法。该方法在用于求解一维结构系统动力响应问题时,不需要按振型展开,因此,可以避免基于有限元法的矩阵摄动所带来的模态截断误差问题,从而提高分析结果的精度。算例对简支梁和锅炉给水泵转子的动力响应问题进行了一阶摄动分析;当ε较小时,一阶摄动计算结果和精确计算结果吻合良好。Basing on Riccati transmission matrix method the first ordered perturbance calculation method for the dynamic response of one dimensioned indefinite parametric structural system was presented. It need not be developed according to style of vibration while this method is applied to solving the dynamic response problems of one dimensioned structural system, there-fore it could avoid error problem of modality sectioning brought by the matrix perturbation based on finite element method, thus raised the accuracy of analytical result. The calculation example carried out a first ordered perturbance analysis on the dynamic response problems of freely supported beam and of rotor of boiler water supply pump, there is a good coincidence between the result of first ordered perturbance calculation and the result of accurate calculation when ε is comparatively small.

关 键 词：摄动 Riccati传递矩阵 动力响应 

分 类 号：TH113.1[机械工程—机械设计及理论] TB123[理学—工程力学]