Nonlinear vibration of a beam resting on a nonlinear viscoelastic foundation traversed by a moving mass: a homotopy analysis

• Autorzy: Pourseifi Mehdi , Monfared Mojtaba Mahmoudi

Identyfikatory

DOI

10.24423/EngTrans.2266.20221128

• Języki publikacji: EN

Abstrakty

EN

In this study, the dynamic response of an Euler-Bernoulli beam resting on the nonlinear viscoelastic foundation under the action of a moving mass by considering the stretching effect of the beam’s neutral axis is investigated. A Dirac-delta function is applied to model the location of the moving mass along the beam as well as its inertial effects. The Galerkin decomposition method is used to transform a partial dimensionless nonlinear differential equation of dynamic motion into an ordinary nonlinear differential equation. Subsequently, the well-known homotopy analysis method (HAM) is employed to obtain an approximate analytical solution of this equation. The validity and accuracy of the solution are examined numerically using the fourth-order Runge-Kutta method. Finally, several examples are provided to show the effects of parameters such as linear and nonlinear stiffness coefficients of a viscoelastic foundation, velocity of the moving mass as well as Coriolis force, centrifugal force and inertia force of the moving mass on the dynamic deflection of the beam.

Słowa kluczowe

EN

Euler-Bernoulli beam; nonlinear viscoelastic foundation; moving mass; homotopy analysis method

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Engineering Transactions
• Rocznik: 2022
• Tom: Vol. 70, iss. 4
• Strony: 355--371
• Opis fizyczny: Bibliogr. 46 poz. rys., tab.

Twórcy

autor

Pourseifi Mehdi

• Faculty of Engineering, University of Imam Ali P.O. Box 131789-3471, Tehran, Iran

autor

Monfared Mojtaba Mahmoudi

• Department of Mechanical Engineering, Hashtgerd Branch, Islamic Azad University Hashtgerd, Iran

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).