Nonlinear Response of a Simple Clamped Panel
作者:
P. W. Smith,
C. I. Malme,
C. M. Gogos,
期刊:
The Journal of the Acoustical Society of America
(AIP Available online 1961)
卷期:
Volume 33,
issue 11
页码: 1476-1482
ISSN:0001-4966
年代: 1961
DOI:10.1121/1.1908476
出版商: Acoustical Society of America
数据来源: AIP
摘要:
Measurements are reported of some characteristics of the response of a simple panel to a steady periodic sound pressure intense enough to cause nonlinearity in the response. The panel is a 2‐in. wide, thin aluminum strip, clamped at its ends with the clamp faces 12 in. apart, and left free on its edges. Attention is focused principally on the fundamental resonance point, which occurred at frequencies as large as twice the low‐level resonance frequency.Measurements of the frequency and strain at resonance, under various levels of excitation, are compared with predictions from a simple one‐mode nonlinear dynamic equation. For good agreement it is found necessary to include not only a nonlinear stiffness but also a nonlinear damping term. Theoretical predictions of the nonlinear stiffness from the physical characteristics of the panel are in error by a factor of 4.7 when based on an assumed mode shape for transverse deflection which is identical with the linear characteristic function of a clamped‐clamped beam.
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