Nonlinear vibration analysis of harmonically excited cracked beams on viscoelastic foundations

D. Younesian; S. R. Marjani; E. Esmailzadeh

doi:10.1007/s11071-012-0644-3

Nonlinear vibration analysis of harmonically excited cracked beams on viscoelastic foundations

D. Younesian, S. R. Marjani, E. Esmailzadeh

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32 Citations (Scopus)

Abstract

The frequency response of a cracked beam supported by a nonlinear viscoelastic foundation has been investigated in this study. The Galerkin method in conjunction with the multiple scales method (MSM) is employed to solve the nonlinear governing equations of motion. The steady-state solutions are derived for the two different resonant conditions. A parametric sensitivity analysis is carried out and the effects of different parameters, namely the geometry and location of crack, loading position and the linear and nonlinear foundation parameters, on the frequency-response solution are examined.

Original language	English
Pages (from-to)	109-120
Number of pages	12
Journal	Nonlinear Dynamics
Volume	71
Issue number	1-2
Early online date	1 Nov 2012
DOIs	https://doi.org/10.1007/s11071-012-0644-3
Publication status	Published - 1 Jan 2013
Externally published	Yes

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title = "Nonlinear vibration analysis of harmonically excited cracked beams on viscoelastic foundations",

abstract = "The frequency response of a cracked beam supported by a nonlinear viscoelastic foundation has been investigated in this study. The Galerkin method in conjunction with the multiple scales method (MSM) is employed to solve the nonlinear governing equations of motion. The steady-state solutions are derived for the two different resonant conditions. A parametric sensitivity analysis is carried out and the effects of different parameters, namely the geometry and location of crack, loading position and the linear and nonlinear foundation parameters, on the frequency-response solution are examined.",

keywords = "Cracked beam, Multiple scales method, Nonlinear vibration, Parameter sensitivity, Resonant frequency, Viscoelastic foundation",

author = "D. Younesian and Marjani, \{S. R.\} and E. Esmailzadeh",

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AU - Younesian, D.

AU - Marjani, S. R.

AU - Esmailzadeh, E.

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N2 - The frequency response of a cracked beam supported by a nonlinear viscoelastic foundation has been investigated in this study. The Galerkin method in conjunction with the multiple scales method (MSM) is employed to solve the nonlinear governing equations of motion. The steady-state solutions are derived for the two different resonant conditions. A parametric sensitivity analysis is carried out and the effects of different parameters, namely the geometry and location of crack, loading position and the linear and nonlinear foundation parameters, on the frequency-response solution are examined.

AB - The frequency response of a cracked beam supported by a nonlinear viscoelastic foundation has been investigated in this study. The Galerkin method in conjunction with the multiple scales method (MSM) is employed to solve the nonlinear governing equations of motion. The steady-state solutions are derived for the two different resonant conditions. A parametric sensitivity analysis is carried out and the effects of different parameters, namely the geometry and location of crack, loading position and the linear and nonlinear foundation parameters, on the frequency-response solution are examined.

KW - Cracked beam

KW - Multiple scales method

KW - Nonlinear vibration

KW - Parameter sensitivity

KW - Resonant frequency

KW - Viscoelastic foundation

UR - https://www.scopus.com/pages/publications/84871962599

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DO - 10.1007/s11071-012-0644-3

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JO - Nonlinear Dynamics

JF - Nonlinear Dynamics

IS - 1-2

ER -

Nonlinear vibration analysis of harmonically excited cracked beams on viscoelastic foundations

Abstract

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