Nonlinear transverse vibrations of beams with properties that vary along the length
作者:
Ali Hasan Nayfeh,
期刊:
The Journal of the Acoustical Society of America
(AIP Available online 1973)
卷期:
Volume 53,
issue 3
页码: 766-770
ISSN:0001-4966
年代: 1973
DOI:10.1121/1.1913389
出版商: Acoustical Society of America
数据来源: AIP
摘要:
The method of multiple scales is used to analyze the nonlinear transverse vibrations of inhomogeneous beams including the effects of transverse shear and rotary inertia. First‐order uniform perturbation expansions are derived for the displacements, shear force, and frequency in terms of the ratios of maximum transverse displacement to cross‐sectional radius of gyration and cross‐sectional radius of gyration to wave length.
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