噪声与振动控制2019，Vol.39Issue(4)：40-45,6.DOI:10.3969/j.issn.1006-1355.2019.04.008
基于节点里兹势能主自由度的结构动态缩减方法
Structure Dynamic Reduction Method of Primary Degrees of Freedom based on Ritz Energy of Nodes
摘要
Abstract
In order to improve the efficiency of dynamic structure analysis, the structure dynamic reduction method of primary degrees of freedom based on Ritz potential energy of nodes is proposed. Firstly, the theory of improved reduction system method is introduced, and the extraction process of Ritz vectors is analyzed. The Ritz potential energy of nodes is defined and is used to capture the primary degree of freedom which can accurately reflect the structural dynamic characteristics. The formula for calculating the Ritz energy of nodes is given. Then, with a cylindrical panel and a crankshaft as the examples, the feasibility and superiority of the proposed method are verified. The results show that the high precision dynamic characteristics are easier to catch by the defined Ritz energy of nodes in the Ritz vector space, and the weighting coefficients can improve the accuracy of higher order frequencies. It is suitable that the number of the primary degree of freedom in the structure dynamic reduction is chosen to be one third of that of the whole structure.关键词
振动与波/里兹向量/动态缩减/主自由度/广义Schur分解法Key words
vibration and wave/ Ritz vector/ dynamic reduction/ primary degree of freedom/ generalized Schur decomposition引用本文复制引用
毛虎平,高鹏飞..基于节点里兹势能主自由度的结构动态缩减方法[J].噪声与振动控制,2019,39(4):40-45,6.基金项目
山西省自然科学基金资助项目(201701D121082) （201701D121082）
国家自然科学基金资助项目(51275489) （51275489）
