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CLC number: TU502

On-line Access: 2017-01-03

Received: 2016-02-03

Revision Accepted: 2016-05-24

Crosschecked: 2016-12-19

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Citations:  Bibtex RefMan EndNote GB/T7714


Yiu-yin Lee


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Journal of Zhejiang University SCIENCE A 2017 Vol.18 No.1 P.75-82


Large amplitude free vibration of a flexible panel coupled with a leaking cavity

Author(s):  Yiu-yin Lee

Affiliation(s):  Department of Architecture and Civil Engineering, City University of Hong Kong, Kowloon Tong, Kowloon, Hong Kong, China

Corresponding email(s):   bcraylee@cityu.edu.hk

Key Words:  Large amplitude vibration, Elliptic integral method, Noise and vibration

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Yiu-yin Lee. Large amplitude free vibration of a flexible panel coupled with a leaking cavity[J]. Journal of Zhejiang University Science A, 2017, 18(1): 75-82.

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publisher="Zhejiang University Press & Springer",

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%DOI 10.1631/jzus.A1600145

T1 - Large amplitude free vibration of a flexible panel coupled with a leaking cavity
A1 - Yiu-yin Lee
J0 - Journal of Zhejiang University Science A
VL - 18
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Y1 - 2017
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.A1600145

This paper addresses the effect of leakage on the natural frequencies of a large amplitude vibrating panel backed by a cavity, which has not been considered in many other related studies. The structural-acoustic governing equations are employed to study this nonlinear problem. An elliptical integral method, which was recently developed for the nonlinear panel cavity problem, is introduced here to solve for the structural-acoustics responses. The present results agree reasonably well with those obtained from the classical harmonic balance method. Modal convergences of the nonlinear solutions are performed to verify the proposed method. The effects of vibration amplitude and leakage size are studied and discussed. It is found that (1) the edge leakages in a panel cavity system significantly affect the natural frequency properties, and (2) the edge leakages induce a low frequency acoustic resonance.

The paper focuses on the vibration of a panel subjected to acoustic pressure: this matter is believed interesting by the writer and important in the field of the Engineering Mechanics. The Mathematics are sound.


创新点:1. 通过椭圆积分方法破解控制方程,推导裂缝腔联结的弹性板的共振频率;2. 建立理论模型,成功计算不同情况下弹性板的共振频率。
方法:1. 通过理论推导,计算裂缝腔大小、震动幅度与共振频率之间的关系(公式(10)~(12));2. 与其它方法得到的数据进行比较,验证所提方法的可行性和有效性(图3和4);3. 通过仿真模拟,推导裂缝腔对弹性板共振频率的影响(图5a~5c)。
结论:1. 板腔系统中的裂缝会导致共振频率出现重大变化;2. 裂缝会导致一个额外的低频率共振点。


Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


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