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Abstrakty
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.
Czasopismo
Rocznik
Tom
Strony
355--371
Opis fizyczny
Bibliogr. 46 poz. rys., tab.
Twórcy
autor
- Faculty of Engineering, University of Imam Ali P.O. Box 131789-3471, Tehran, Iran
- Department of Mechanical Engineering, Hashtgerd Branch, Islamic Azad University Hashtgerd, Iran
Bibliografia
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- 32. Rouabhia A., Chikh A., Bousahla A.A., Bourada F., Heireche H., Tounsi A., Benrahou K.H., Tounsi A., Al-Zahrani M.M., Physical stability response of a SLGS resting on viscoelastic medium using nonlocal integral first-order theory, Steel and Composite Structures, 37(6): 695–709, 2020, doi: 10.12989/scs.2020.37.6.695.
- 33. Bellal M., Hebali H., Heireche H., Bousahla A.A., Tounsi A., Bourada F., Mahmoud S.R., Bedia E.A.A., Tounsi A., Buckling behavior of a single-layered graphene sheet resting on viscoelastic medium via nonlocal four-unknown integral model, Steel and Composite Structures, 34(5): 643–655, 2020, doi: 10.12989/scs.2020.34.5.643.
- 34. Guellil M., Saidi H., Bourada F., Bousahla A.A., Tounsi A., Al-Zahrani M.M.A., Hussain M., Mahmoud S.R., Influences of porosity distributions and boundary conditions on mechanical bending response of functionally graded plates resting on Pasternak foundation, Steel and Composite Structures, 38(1): 1–15, 2021, doi: 10.12989/scs.2021.38.1.001.
- 35. Bendenia N., Zidour M., Bousahla A.A., Bourada F., Tounsi A., Benrahou K.H., Bedia E.A.A., Mahmoud S.R., Tounsi A., Deflections, stresses and free vibration studies of FG-CNT reinforced sandwich plates resting on Pasternak elastic foundation, Computers and Concrete, 26(3): 213–226, 2020, doi: 10.12989/cac.2020.26.3.213.
- 36. Rabhi M., Benrahou K.H., Kaci A., Houari M.S.A., Bourada F., Bousahla A.A., Tounsi A., Bedia E.A.A., Mahmoud S.R., Tounsi A., A new innovative 3-unknowns HSDT for buckling and free vibration of exponentially graded sandwich plates resting on elastic foundations under various boundary conditions, Geomechanics and Engineering, 22(2): 119–132, 2020, doi: 10.12989/gae.2020.22.2.119.
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- 38. Chikr S.C., Kaci A., Bousahla A.A., Bourada F., Tounsi A., Bedia E.A.A., Mahmoud S.R., Benrahou K.H., Tounsi A., A novel four-unknown integral model for buckling response of FG sandwich plates resting on elastic foundations under various boundary conditions using Galerkin’s approach, Geomechanics and Engineering, 21(5): 471–487, 2020, doi: 10.12989/gae.2020.21.5.471.
- 39. Refrafi S., Bousahla A.A., Bouhadra A., Menasria A., Bourada F., Tounsi A., Bedia E.A.A., Mahmoud S.R., Benrahou K.H., Tounsi A., Effects of hygro-thermomechanical conditions on the buckling of FG sandwich plates resting on elastic foundations, Computers and Concrete, 25(4): 311–325, 2020, doi: 10.12989/cac.2020.25.4.311.
- 40. Kaddari M., Kaci A., Bousahla A.A., Tounsi A., Bourada F., Tounsi A., Adda Bedia E.A., Mohammed A.A., A study on the structural behaviour of functionally graded porous plates on elastic foundation using a new quasi-3D model: bending and free vibration analysis, Computers and Concrete, 25(1): 37–57, 2020, doi: 10.12989/cac.2020.25.1.037.
- 41. Addou F.Y., Meradjah M., Bousahla A.A., Benachour A., Bourada F., Tounsi A., Mahmoud S.R., Influences of porosity on dynamic response of FG plates resting on Winkler/Pasternak/Kerr foundation using quasi 3D HSDT, Computers and Concrete, 24(4): 347–367, 2019, doi: 10.12989/cac.2019.24.4.347.
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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).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-2badf5e1-885d-469e-905a-d503e4b25fe5