Natural Vibration of a Cavity Backed Rectangular Plate Using A Receptor-Rejector System Model
Natural Vibration of a Cavity Backed Rectangular Plate Using A Receptor-Rejector System Model
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DOI：
10.1115/1.2874473
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发表时间：
1995-10
期刊：
影响因子：
--
通讯作者：
C. Rajalingham;R. Bhat;G. D. Xistris
中科院分区：
文献类型：
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作者：
C. Rajalingham;R. Bhat;G. D. Xistris
矩形板的受迫振动是研究封闭空间内噪声传递的重要物理问题。在这种情况下，空腔背板是一个动力系统的耦合运动的板和空气腔。耦合系统的固有频率是噪声向腔体内传递的最重要的特性。本文研究了凹腔支承矩形板的固有振动，并给出了凹腔支承简支板的数值结果。整个系统的固有振动被看作是其子系统的各种固有振动模式相互作用的结果。模态相互作用的物理讨论使用一个受体-排斥系统模型，并使用板的容抗和腔体排斥（逆容抗）参数的空腔背板的动力学进行了研究。使用形成单自由度系统的背腔活塞进一步澄清模态相互作用。利用叠加原理，可将该模型应用于多壁腔体的分析。
Forced vibration of a cavity backed rectangular plate is widely used to study the physics of noise transmission into an enclosure. In this context, the cavity backed plate is a dynamical system with coupled motion of the plate and the air cavity. The natural frequencies of the coupled system are the most important characteristics of the noise transmission into the cavity. This paper investigates the natural vibration of a cavity backed rectangular plate and presents numerical results for the particular case of a cavity backed simply supported plate. The natural vibration of the total system is viewed as the result of the interactions of various natural modes of vibration of its subsystems. The physics of the modal interactions is discussed using a receptor-rejector system model, and the dynamics of the cavity backed panel is investigated using the plate receptance and the cavity rejectance (inverse receptance) parameters. The modal interactions are further clarified using a cavity backed piston forming a single degree of freedom system. With the principle of superposition, the receptor-rejector system model can be used to analyze cavities with more than one flexible wall.