Effect of Distributed Quadratic and Equivalent Viscous Damping on Longitudinal Vibrations of Prismatic Bars
作者:
C. D. Michalopoulos,
期刊:
The Journal of the Acoustical Society of America
(AIP Available online 1972)
卷期:
Volume 52,
issue 3B
页码: 1056-1059
ISSN:0001-4966
年代: 1972
DOI:10.1121/1.1913179
出版商: Acoustical Society of America
数据来源: AIP
摘要:
Forced longitudinal vibrations of a prismatic, slender bar with distributed quadratic damping and equivalent viscous damping are considered. The bar is free at one end and subjected to harmonic excitation at the other. The nonlinear differential equation with the velocity‐squared term is solved numerically by the method of characteristics. The linearized equation is solved by Laplace transforms and the solution is compared to that of the nonlinear system. The damping is linearized by equating the energies dissipated per cycle by the two types of damping. Frequency‐response curves, through the second natural mode, are given for several sets of the nonlinear and equivalent viscous damping coefficients.
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