High precise analysis of lateral vibration of quintic nonlinear beam
This article intends to achieve a new formulation of beam vibration with quintic nonlinearity, including exact expressions for the beam curvature. To attain a proper design of the beam structures, it is essential to realize how the beam vibrates in its transverse mode which in turn yields the natural frequency of the system. In this direction, new powerful analytical method called Parameter Expansion Method (PEM) is employed to obtain the exact solution of frequency-amplitude relationship. Afterwards, it is clearly shown that the first term in series expansions is sufficient to produce a highly accurate approximation of mentioned system. Finally, preciseness of the present analytic procedures is evaluated in contrast with numerical calculations methods, giving excellent results.
Main Authors: | Sedighi,Hamid M., Reza,Arash |
---|---|
Format: | Digital revista |
Language: | English |
Published: |
Associação Brasileira de Ciências Mecânicas
2013
|
Online Access: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252013000200010 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
Novel equivalent function for deadzone nonlinearity: applied to analytical solution of beam vibration using He's Parameter Expanding Method
by: Sedighi,Hamid M., et al.
Published: (2012) -
Stick-slip analysis in vibrating two-layer beams with frictional interface
by: Sedighi,Hamid M., et al.
Published: (2013) -
Nonlinear Vibrations of Cantilever Timoshenko Beams: A Homotopy Analysis
by: Shahlaei-Far,Shahram, et al.
Published: (2016) -
Analytical Approximation of Nonlinear Vibration of Euler-Bernoulli Beams
by: Jafari,S.S., et al.
Published: (2016) -
Experimental Vibration Characteristics of a Beam with Nonlinear Support Using Receptance Coupling Analysis
by: Ferreira,J. V., et al.
Published: (2002)