Approximate Solutions for a Nonlinear Transverse Vibration of an Elastically Restrained Tapered Beam

被引：0
|
作者：
Durmaz, Seher [1 ]
Demirbag, Sezgin Altay [2 ]
Kaya, Metin O. [1 ]
机构：
[1] Istanbul Tech Univ, Fac Aeronaut & Astronaut, TR-34469 Istanbul, Turkey
[2] Istanbul Tech Univ, Fac Sci & Letts, TR-34469 Istanbul, Turkey
来源：
INTERNATIONAL CONGRESS ON ADVANCES IN APPLIED PHYSICS AND MATERIALS SCIENCE | 2011年 / 1400卷
关键词：
Tapered beam; nonlinear frequency; Hamiltonian approach method; high order Hamiltonian approach method;
D O I：
10.1063/1.3663088
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
This paper introduces the approximate solutions of the mathematical model of elastically restrained tapered beam. At the beginning of the study, the equation of motion is derived. The frequency-amplitude relation is deduced and numerically solved. Hamiltonian approach method is implemented to solve the established model. The numerical results for the first, the second and the third order approximations are further compared with the approximate analytical solutions for both small and large amplitude of oscillations, and a very good agreement is observed.
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页码：71 / 76
页数：6
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