封闭声腔的结构-声耦合的瞬态响应及固有特性分析的时域有限体积法  

Time domain finite volume method for the transient response and natural characteristics of structural-acoustic coupling in an enclosed cavity

作　　者：宣领宽[1] 明平剑[1] 张文平[1] 靳国永[1] 龚京风[1] 

机构地区：[1]哈尔滨工程大学动力与能源工程学院,哈尔滨150001

出　　处：《声学学报》2014年第2期215-225,共11页Acta Acustica

基　　金：中央高校基本科研业务费专项资金(HEUCF130302);国家自然科学基金(51279035)资助

摘　　要：基于波动理论,采用时域有限体积法(TDFVM)研究封闭声腔结构-声耦合问题的瞬态响应及固有特性。该方法在结构与流体区域分别求解结构动力学方程与非均匀介质中的声波动方程,根据流固分界面上的力平衡与质点振速连续条件实现结构-声耦合。通过数值算例验证方法的正确性和精确性,在此基础上研究封闭声腔结构与空气耦合的瞬态响应及固有特性,分析水深变化对耦合系统声振特性和固有特性的影响。结果表明,随着水深的增加,结构与水的耦合会更加强烈,导致耦合系统的特征频率降低,同时空气腔深度的减小,导致声腔的部分固有频率增加。该法对计算机内存要求低,且可以考虑含有非均匀流体的结构-声耦合。A time domain finite volume method （TDFVM） is applied to analyze the transient response and natural characteristics of structural-acoustic coupling problems in an enclosed cavity based on wave theory. In present method, elastic dynamic equations and acoustic equation in heterogeneous medium are solved in solid domains and fluid domains respectively. The structural-acoustic coupling is implemented according to normal components of particle velocity con- tinuity condition and normal traction equilibrium condition at the interface. The accuracy and precision of TDFVM are validated through numerical examples. Then TDFVM is used to analyze the influence of water depth on the sound and vibration characteristics and the natural characteristics of a structural-acoustic coupling system. The numerical results show that the increase of water depth leads to a stronger coupling between the water and structure and the decrease of natural frequencies of coupling system, while the decrease of air cavity leads to the increase of part of natural frequencies of acoustic cavity. The computational cost and memory of this method are small and it is applicable to structural-acoustic coupling problems in heterogeneous fluid.

关 键 词：结构-声耦合 有限体积法 固有特性 瞬态响应 声腔 封闭 时域 结构动力学方程 

分 类 号：TB535[理学—物理]