Nonlinear dynamic analysis of an elastically restrained cantilever tapered beam

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. T...

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Bibliographic Details
Published in:Journal of applied mechanics and technical physics 2017-05, Vol.58 (3), p.556-565
Main Authors: Akbarzade, M., Farshidianfar, A.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Cantilever beams
Classical and Continuum Physics
Classical Mechanics
Computer simulation
Fluid- and Aerodynamics
Mathematical Modeling and Industrial Mathematics
Mechanical Engineering
Nonlinear analysis
Physics
Physics and Astronomy
Resonant frequencies
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Summary: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.
ISSN:0021-8944
1573-8620
DOI:10.1134/S002189441703021X