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JOURNALS // Prikladnaya Mekhanika i Tekhnicheskaya Fizika // Archive

Prikl. Mekh. Tekh. Fiz., 2017 Volume 58, Issue 3, Pages 210–221 (Mi pmtf717)

This article is cited in 8 papers

Nonlinear dynamic analysis of an elastically restrained cantilever tapered beam

M. Akbarzade, A. Farshidianfar

­­­­Ferdowsi University of Mashhad, Mashhad, Iran

Abstract: 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.

Keywords: nonlinear oscillation, analytical methods, periodic solution.

UDC: 539.3

Received: 19.08.2015
Revised: 05.11.2015

DOI: 10.15372/PMTF20170321


 English version:
Journal of Applied Mechanics and Technical Physics, 2017, 58:3, 556–565

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