模态综合的界面自由度里兹变换方法  

Ritz Transform Method for Interface Degree of Freedom of Modal Synthesis

作　　者：李兴泉[1] 邓兆祥[1,2] 庞剑[2] 李英强[1] 

机构地区：[1]重庆大学机械传动国家重点实验室,重庆400030 [2]汽车噪声振动和安全技术国家重点实验室,重庆400039

出　　处：《华南理工大学学报（自然科学版）》2012年第12期111-116,共6页Journal of South China University of Technology(Natural Science Edition)

基　　金：国家"973"计划项目(2010CB736104);汽车噪声振动和安全技术国家重点实验室开放基金资助项目(NVHSKL-201104)

摘　　要：为提高固定界面模态综合方法的计算效率,在利用特征约束模态进行界面自由度降阶的基础上,对静力模态进行过滤,以减小子结构界面矩阵转换的计算时间;然后,对系统界面质量矩阵进行过滤,并采用里兹(Ritz)变换方法计算特征约束模态,以提高模态综合方法的计算效率;最后,运用该方法计算了某轿车白车身0～200 Hz以内的振动特性.计算结果表明:采用该模态综合改进算法后,计算时间减小了32.4%,计算误差小于2%,说明该方法在复杂结构的中、低频振动特性计算中具有较高的效率.In order to improve the computational efficiency of the fixed-interface modal synthesis method, first, the characteristic constraint modes are applied to the order reduction of the interface degree of freedom. Next, the static modes are filtrated to reduce the transformation time of interface matrixes of substructures. Then, the mass matrix of system interface is filtrated and the Ritz transform method is employed to obtain the characteristic constraint modes, thus improving the computational efficiency. Finally, the proposed method is used to analyze the vibration of a car body in white in the frequency range from 0 to 200 Hz. The results show that the modified modal synthesis method is of high computational efficiency for the vibration analysis of complex structures in low or middle frequency range, with a computation time increasing by 32.4% and a comoutation error being less than 2%.

关 键 词：模态综合方法 振动 频率 里兹变换 过滤 

分 类 号：TH123.3[机械工程—机械设计及理论] U463.3[机械工程—车辆工程]