求解动态子结构的大质量界面虚拟激励法  

High-mass interface virtual excitation method for solving dynamic substructures

作　　者：孙万泉[1] 秦浩玮 马震岳 SUN Wan-quan;QIN Hao-wei;MA Zhen-yue(School of Water Resources and Hydropower Engineering,North China Electric Power University,Beijing 102206,China;School of Hydraulic Engineering,Faculty of Infrastructure Engineering,Dalian University of Technology,Dalian 116023,China)

机构地区：[1]华北电力大学水利与水电工程学院,北京102206 [2]大连理工大学建设工程学部水利工程学院,辽宁大连116023

出　　处：《振动工程学报》2023年第5期1251-1257,共7页Journal of Vibration Engineering

基　　金：国家重点研发计划(2016YFC0401900);国家自然科学基金面上项目(52279065)。

摘　　要：为提高大型结构随机激励的计算效率,解决不同类型组合结构的动力求解问题,提出一种动态子结构求解方法。在各子结构界面的质量矩阵上分别附加大质量单元,并直接在大质量单元上施加两次不同幅值的虚拟激励荷载,确保相邻子结构界面上的加速度响应协调;根据不同子结构界面上的内力平衡条件和线性关系建立界面力平衡方程组,求解出能够保证各子结构之间加速度响应和内力同时协调平衡的虚拟激励荷载幅值;通过求出的虚拟激励荷载分别计算各子结构的真实响应。该方法与传统的模态综合法相比,避免了模态坐标和物理坐标的反复转换,并能直接考虑子结构的高频特性;与机械导纳法相比,减小了综合方程规模,求解更为简便,并适用于外荷载激励和地震下基础加速度激励同时输入的情况。最后通过不同类型的仿真算例验证了该方法的正确性。To improve the computational efficiency of random excitation of large-scale structure and solve the dynamic problem of composite structures,a novel method for solving dynamic substructure is proposed.High-mass elements are added to the mass ma-trix of each substructure interface,and virtual excitation loads with different amplitudes are applied to these high-mass elements twice to ensure coordinated acceleration responses at the adjacent substructure interfaces.According to the internal force balance conditions and linear relations on the interfaces of different substructures,the interface force balance equations are established,the virtual excitation load amplitudes that can guarantee the coordination and balance of the acceleration responses and internal forces between each substructure are solved.The real response of each substructure is calculated by the obtained virtual excitation load.Compared with the traditional modal synthesis method,the proposed method avoids the conversions between modal coordinates and physical coordinates,and can consider the high frequency characteristics of the substructures.Compared with the mechanical admittance method,the proposed method reduces the scale of the synthesis equation and is more convenient to solve,and is also suitable for the case of simultaneous action of external loads and earthquake acceleration.This method is verified by different types of simulation examples.

关 键 词：动态子结构 大质量界面虚拟激励法 随机振动 虚拟激励 

分 类 号：TU311.3[建筑科学—结构工程]