模态应变能方法精确性和适用性研究  

STUDY OF ACCURACY AND APPLICABILITY OF MODAL STRAIN ENERGY METHOD

作　　者：申彦利[1] 杨庆山[1] 田玉基[1] 

机构地区：[1]北京交通大学土木建筑工程学院

出　　处：《工程力学》2008年第6期18-21,共4页Engineering Mechanics

基　　金：国家自然科学基金资助项目(50478063)

摘　　要：介绍了非比例阻尼体系动力分析的模态应变能方法和状态方程法,在频域内和时域内分析比较了具有Maxwell阻尼的多自由度模型响应的精确解和近似解,并据此分析了模态应变能方法的精确性和适用性,数值算例结果表明:在一定条件下模态应变能方法具有较高的精确性,同时在工程应用方面该方法也具有较好的适用性。For analyzing non-proportional damping structure, the approximate method, modal strain energy method, exact method, and state equation method are introduced. The approximate solution and exact solution of multiple-degree-of-freedom model with Maxwell dampers in frequency domain and time domain are compared; then the accuracy and applicability of the modal strain energy method are investigated. The results of numerical examples indicate that the accuracy of modal strain energy method is acceptable in a certain condition and this method can be applied to engineering practice.

关 键 词：非比例阻尼 模态应变能法 状态方程法 MAXWELL阻尼器 精确性 

分 类 号：O328[理学—一般力学与力学基础]