基于厚板精化理论研究结构振动的模态控制方法  

MODAL CONTROL OF PLATE VIBRATION BY REFINED THEORY OF THICK PLATES

作　　者：倪博[1,2] 胡超[1,3] 周传平[1] 

机构地区：[1]同济大学航空航天与力学学院,上海200092 [2]上海精密计量测试研究所,上海201109 [3]扬州大学建筑科学与工程学院,扬州225127

出　　处：《工程力学》2014年第3期45-51,共7页Engineering Mechanics

基　　金：国家自然科学基金项目(51378451,10572045);航天创新科学研究基金项目(HTCX10)

摘　　要：平板动力学与控制是工程结构设计中的重要研究课题。该文基于厚板弯曲振动的精确化方程,采用Hamilton状态空间方法,研究了平板结构的振动控制问题。通过满足平板两侧的自由边界条件以及两端的边界条件,确定了悬臂厚板中的振动模态。而后,采用独立模态控制方法,对悬臂板条的振动控制策略进行了研究,并把结果与基于Mindlin板理论计算得到的结果做了对比分析。最后,对模态控制实施的数值结果做了进行了讨论。该文研究结果可望能在现代工程结构动力学分析和振动控制中得到应用。Dynamics of plates, as well as its vibration control, is an important research topic in the design of engineering structures. In this paper, based on Hamiltonian formulism using the refined dynamic equation of thick plates, the vibration control of plate structures is investigated. By satisfying the boundary conditions of plates, vibration modes of thick plates were obtained. The independent modal space control was applied to achieve the active vibration control of cantilever plates. The calculated results were compared with those based on Mindlin plate theory. The results were analyzed and discussed through a comparison with numerical simulations. The research results of this paper can be applied to the analysis of structural dynamics and vibration control in modem engineering.

关 键 词：悬臂板结构 平板振动精确化方程 频散关系 模态控制方法 动力学与控制 

分 类 号：TU391[建筑科学—结构工程] TU392.5