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Dynamic load identification in second-order formulation in time domain based precise time-integration[J].计算力学学报,2017,(5):631~637

Dynamic load identification in second-order formulation in time domain based precise time-integration
Dynamic load identification in second-order formulation in time domain based precise time-integration

DOI：10.7511/jslx201705015

 作者 单位 E-mail 王淑娟 哈尔滨工程大学 理学院, 哈尔滨 150001 wangshujuan@hrbeu.edu.cn 韩伟民 哈尔滨工程大学 理学院, 哈尔滨 150001 王国巧 哈尔滨工程大学 理学院, 哈尔滨 150001 沈继红 哈尔滨工程大学 理学院, 哈尔滨 150001 姜楠 哈尔滨工程大学 理学院, 哈尔滨 150001

基于模态分析法的载荷识别方法利用模态矩阵获得系统的非耦合形式，推导单自由度系统的载荷识别公式，但要求系统为比例阻尼。在模态模型基础上，对一般系统建立基于二阶系统解耦的动载荷时域识别模型。首先，利用基于Lancaster结构的二阶系统解耦方法推导出系统的非耦合形式；然后，采用精细逐步积分方法，在载荷为阶跃力的假设下，推导出载荷识别数学公式；最后，由系统实时响应反求结构载荷的时间历程。数值算例验证了本文方法针对比例阻尼系统较模态模型具有更高的精度，而且对非比例阻尼系统也有效可行。

The way of load identification based on modal analysis transforms the system equation into a decoupled form by modal matrix,but this is only applicable to problems with proportional damping.In this paper a load identification method in time domain is established based on the decoupled second-order formulation.Firstly,the decoupled form of system equations is obtained in Lancaster structure by theoretical derivation; then,with the assumption that the load is a step function,the load identification formulas are derived by the precise time-integration method; finally,the time history of a structural load is obtained by systematic real-time response.The numerical experiments verify that the new method not only has a higher accuracy than the modal analysis method for systems with proportional damping,but also is efficient for systems with non-proportional damping.