The transverse free-vibration model of three multi-span beams

被引：0
|
作者：
Liu X.-Y. [1 ]
Nie H. [1 ]
Wei X.-H. [1 ]
机构：
[1] State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing
来源：
Nie, Hong (hnie@nuaa.edu.cn) | 1600年 / Chinese Vibration Engineering Society卷 / 35期
关键词：
Free vibration; Multi-span beam; Rayleigh beam; Shear beam; Timoshenko beam;
D O I：
10.13465/j.cnki.jvs.2016.08.004
中图分类号：
学科分类号：
摘要：
The transverse free-vibration equations of Timoshenko, Rayleigh and Shear beam were studied by variation-parameter method. The hinge support, lumped mass, rotational inertia, compression-tension spring and torsional spring were analyzed. Based on these, the free-vibration model of three beams was derived. The analogous Euler beam in its simplified model was proposed to infer the three models with the engineering meanings: the free-vibration model for a two-span beam, a two-span beam with arbitrary lumped masses and a one-span beam with an arbitrary spring-mass system. Comparison between the frequency equations, which were derived by the three models and previous articles, presented good accordance. A two-span-beam example was given by Nastran to compute the first-order frequency. By comparing the result by Nastran with the result from the formula proposed, the error is within 5%, which illustrates that the proposed model is fair and useful. © 2016, Editorial Office of Journal of Vibration and Shock. All right reserved.
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页码：21 / 26
页数：5
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