基于缩聚传递函数的耦合板振动特性研究  

Research on vibration characteristics of coupling plates based on condensed transfer function

作　　者：王献忠[1,2] 巴明飞 陈立[2] 汤敏[2] WANG Xianzhong;BA Mingfei;CHEN Li;TANG Min(Key Laboratory of High Performance Ship Technology,Wuhan University of Technology,Wuhan 430063,China;School of Architecture,Ocean and Energy Power Engineering,Wuhan University of Technology,Wuhan 430063,China)

机构地区：[1]武汉理工大学高性能船舶技术教育部重点实验室,湖北武汉430063 [2]武汉理工大学船海与能源动力工程学院,湖北武汉430063

出　　处：《华中科技大学学报（自然科学版）》2023年第10期25-30,83,共7页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(51779201);湖北省自然科学基金资助项目(ZRMS2020000207)。

摘　　要：基于缩聚传递函数法,建立了任意连接角度板的数值模型.采用缩聚传递函数法将耦合板结构解耦,通过模态叠加法求解解耦后各子结构的振动响应,将解耦后各子结构的振动响应由局部坐标系转化为整体坐标系,进而求得耦合板在整体坐标系下的振动响应.针对L型、T型和十字型耦合板展开研究,将数值模型的计算结果与有限元计算结果进行对比,验证了方法的准确性.在此基础上分析了耦合角度和激励点位置对耦合板振动特性的影响.结果表明:该混合计算方法具有很高的精度,法向位移最大误差在1%以内.Based on the condensation transfer function method(CTF),the numerical model of coupling plates with arbitrary angle was established.The coupling plate structure was decoupled by using the CTF method,and the vibration response of each substructure after decoupling was solved by mode superposition method.The vibration response of each substructure after decoupling was transformed from the local coordinate system to the global coordinate system,and then the vibration response of the coupling plates in the global coordinate system was obtained.The L-shaped,T-shaped,and cross-shaped coupling plates were focused on.The calculation results of the numerical model were compared with those of finite element analysis to validate the accuracy of the method.Furthermore,the influence of coupling angle and excitation point position on the vibration characteristics of the coupling plates was analyzed.Results show that this hybrid computational method has high accuracy,with a maximum error in the normal displacement of less than 1%.

关 键 词：缩聚传递函数法 模态叠加法 子结构 连接角度 耦合板 

分 类 号：TB532[理学—物理]