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Journal of Applied Mechanics and Technical Physics

2017 year, number 3

Nonlinear Dynamic Analysis of an Elastically Restrained Cantilever Tapered Beam

M. Akbarzade, A. Farshidianfar
Ferdowsi University of Mashhad, Mashhad, Iran
Keywords: нелинейные осцилляции, аналитические методы, периодическое решение, nonlinear oscillation, analytical methods, periodic solution


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.