摘要
本文将群表示论方法与动态子结构技术相结合,得到了一种盘一叶耦合系统固有模态分析的群论辅助子结构技术;利用加载子结构方法消去子结构之间的所有对接自由度,进一步提高了分析的效率;从完整结构的单一基本扇形中得到了主模态。这些研究结果对于求解旋转周期系统的振动问题是行之有效的。
The finite element dynamic analysis of symmetric structure with C_n groupencountered in turbomachines is analytically investigated. A dynamic substructuretechnique combined with the representative theory of finite group is developed ina basic sector domain. Loaded substructure method is applied to remove all theinterface degrees of freedom between substructures. The method further increasethe efficiency for dynamic analysis of bladed disc assemblies consequently. Thenormal mode shapes and frequencies can be obtained from a single repetitivesector for the whole structure. The results of theoretical and applied studies of thisnew technique have been shown available and effective for solving the vibrationproblems of rotationally periodic systems.
出处
《复旦学报(自然科学版)》
CAS
CSCD
北大核心
1989年第1期73-77,共5页
Journal of Fudan University:Natural Science
基金
国家自然科学基金
关键词
有限元法
模态
综合法
子结构
finite element method
modal synthesis method
substructure method.