一类非圆振动膜的精确解

IF 1.9 4区工程技术 Q2 ACOUSTICS

Journal of Vibration and Acoustics-Transactions of the Asme Pub Date : 2022-04-01 DOI:10.1115/1.4054256

C.Y. Wang

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引用次数: 0

摘要

将求解泊松方程的Saint-Venant方法应用于控制膜振动的亥姆霍兹方程。提出了一类具有n倍旋转对称的非圆膜。薄膜的形状、性质和基频被制成表格。解是精确的，可以作为近似方法的精度标准。

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Exact Solution of a Class of Non-Circular Vibrating Membranes

Saint-Venant's method to solve the Poisson equation is applied to the Helmholtz equation which governs membrane vibration. A family of non-circular membrane shapes with N-fold rotational symmetry is presented. Membrane shapes, properties and fundamental frequencies are tabulated. The solutions are exact and can serve as accuracy standards for approximate methods.

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来源期刊

Journal of Vibration and Acoustics-Transactions of the Asme 工程技术-工程：机械

CiteScore

4.20

自引率

11.80%

发文量

审稿时长

7 months

期刊介绍： The Journal of Vibration and Acoustics is sponsored jointly by the Design Engineering and the Noise Control and Acoustics Divisions of ASME. The Journal is the premier international venue for publication of original research concerning mechanical vibration and sound. Our mission is to serve researchers and practitioners who seek cutting-edge theories and computational and experimental methods that advance these fields. Our published studies reveal how mechanical vibration and sound impact the design and performance of engineered devices and structures and how to control their negative influences. Vibration of continuous and discrete dynamical systems; Linear and nonlinear vibrations; Random vibrations; Wave propagation; Modal analysis; Mechanical signature analysis; Structural dynamics and control; Vibration energy harvesting; Vibration suppression; Vibration isolation; Passive and active damping; Machinery dynamics; Rotor dynamics; Acoustic emission; Noise control; Machinery noise; Structural acoustics; Fluid-structure interaction; Aeroelasticity; Flow-induced vibration and noise.