Dynamic response of a beam carrying a lumped mass along its span

Sfahani M.G; Amin Barari; S.S Ganji; G Domairry; Houman B. Rokni

doi:10.1007/s00170-012-4113-4

Dynamic response of a beam carrying a lumped mass along its span

Sfahani M.G, Amin Barari, S.S Ganji, G Domairry, Houman B. Rokni

Geotechnical Engineering and Offshore Foundations Research Group

Research output: Contribution to journal › Journal article › Research › peer-review

6 Citations (Scopus)

Abstract

In this paper, we study the periodic solutions for the free vibration of a conservative oscillator with fifth-order nonlinearity using two new methods, the energy balance method and the variational approach. We compare the results obtained with those yielded by the traditional harmonic balance method and equivalent linearization–nonlinearization method. The periodic solutions are then verified using the Runge–Kutta approach.

Original language	English
Journal	International Journal of Advanced Manufacturing Technology
Volume	64
Issue number	9-12
Pages (from-to)	1435-1443
Number of pages	9
ISSN	0268-3768
DOIs	https://doi.org/10.1007/s00170-012-4113-4
Publication status	Published - 2013

Keywords

Nonlinear vibration
Conservative oscillator
Analytical approaches
Energy balance
Variational
Harmonic balance
Equivalent linearization

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10.1007/s00170-012-4113-4

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title = "Dynamic response of a beam carrying a lumped mass along its span",

abstract = "In this paper, we study the periodic solutions for the free vibration of a conservative oscillator with fifth-order nonlinearity using two new methods, the energy balance method and the variational approach. We compare the results obtained with those yielded by the traditional harmonic balance method and equivalent linearization–nonlinearization method. The periodic solutions are then verified using the Runge–Kutta approach.",

keywords = "Nonlinear vibration, Conservative oscillator, Analytical approaches, Energy balance, Variational, Harmonic balance, Equivalent linearization, Nonlinear vibrations, Conservative oscillator, Analytical approaches, Energy balance, Variational, Harmonic balance, Equivalent linearization",

author = "Sfahani M.G and Amin Barari and S.S Ganji and G Domairry and Rokni, {Houman B.}",

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T1 - Dynamic response of a beam carrying a lumped mass along its span

AU - M.G, Sfahani

AU - Barari, Amin

AU - Ganji, S.S

AU - Domairry, G

AU - Rokni, Houman B.

PY - 2013

Y1 - 2013

N2 - In this paper, we study the periodic solutions for the free vibration of a conservative oscillator with fifth-order nonlinearity using two new methods, the energy balance method and the variational approach. We compare the results obtained with those yielded by the traditional harmonic balance method and equivalent linearization–nonlinearization method. The periodic solutions are then verified using the Runge–Kutta approach.

AB - In this paper, we study the periodic solutions for the free vibration of a conservative oscillator with fifth-order nonlinearity using two new methods, the energy balance method and the variational approach. We compare the results obtained with those yielded by the traditional harmonic balance method and equivalent linearization–nonlinearization method. The periodic solutions are then verified using the Runge–Kutta approach.

KW - Nonlinear vibration

KW - Conservative oscillator

KW - Analytical approaches

KW - Energy balance

KW - Variational

KW - Harmonic balance

KW - Equivalent linearization

KW - Nonlinear vibrations

KW - Conservative oscillator

KW - Analytical approaches

KW - Energy balance

KW - Variational

KW - Harmonic balance

KW - Equivalent linearization

U2 - 10.1007/s00170-012-4113-4

DO - 10.1007/s00170-012-4113-4

M3 - Journal article

SN - 0268-3768

VL - 64

SP - 1435

EP - 1443

JO - International Journal of Advanced Manufacturing Technology

JF - International Journal of Advanced Manufacturing Technology

IS - 9-12

ER -

Dynamic response of a beam carrying a lumped mass along its span

Abstract

Keywords

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