摘要
基于Mindlin板振动理论,获得镶嵌在无限大障板中的矩形简支板的横向振动方程,并研究矩形板在空气和水中的振动和声辐射特性。根据哈密尔顿(Hamilton)原理建立结构系统总能量关系,利用结构质量矩阵和刚度矩阵建立简谐点激励下水中简支矩形板的声振耦合方程,采用模态叠加法表示结构振动响应、声辐射阻抗方程以及结构辐射声功率,分析了单一模态量和整体量的相互关系,讨论了自辐射模态和互辐射模态的变化规律,并比较了空气和水中矩形板结构声振特性。
The total energy relationship of plate- structure system is established by Hamilton theory.Further,the expression about the baffled simply supported rectangular plate is obtained excited by harmonic point force by combining the structure＇ s mass and stiffness matrix. The structure vibration,radiation impedance and the radiated power formulations are expressed by modal superposition method. The relationships between single modal and total mean square velocity and radiation efficiency is investigated.The vibro- acoustic characteristics of the structure are compared between in water and in air.
出处
《舰船科学技术》
北大核心
2015年第9期87-93,共7页
Ship Science and Technology
基金
国家自然科学基金资助项目(11372350)
海军工程大学自然科学基金资助项目(HGDQNSQJJ13006)
关键词
声振耦合
模态叠加法
矩形板
vibro-acoustic coupling
modal superposition method
rectangular plate
