NONLINEAR DYNAMIC ANALYSIS OF AN ELASTICALLY RESTRAINED CANTILEVER TAPERED BEAM

被引：9
|
作者：
Akbarzade, M. [1 ]
Farshidianfar, A. [1 ]
机构：
[1] Ferdowsi Univ Mashhad, Dept Mech Engn, Fac Engn, Mashhad, Iran
来源：
JOURNAL OF APPLIED MECHANICS AND TECHNICAL PHYSICS | 2017年 / 58卷 / 03期
关键词：
nonlinear oscillation; analytical methods; periodic solution; HOMOTOPY-PERTURBATION METHOD; DIFFERENTIAL-EQUATIONS; CUBIC NONLINEARITIES; HAMILTONIAN APPROACH; INTEGRAL-EQUATIONS; ASYMPTOTIC METHODS; ENERGY-BALANCE; SYSTEM; OSCILLATORS; VIBRATION;
D O I：
10.1134/S002189441703021X
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
An analytical simulation of an elastically restrained tapered cantilever beam is performed. Five different analytical methods are applied to solve the dynamic model of the nonlinear oscillation equation. Analytical relationships between the natural frequency and the initial amplitude are obtained. The present solutions are compared with the exact solution, and excellent agreement is noted.
引用
收藏
页码：556 / 565
页数：10
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