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Abstrakty
In this paper, nonlinear dynamical behavior of a rectangular plate traveled by a moving mass as well as an equivalent concentrated force with non-constant velocity is studied. The nonlinear governing coupled partial differential equations (PDEs) of motion are derived by energy method using Hamilton’s principle based on the large deflection theory in conjuncture with the von-Karman strain-displacement relations. Then Galerkin’s method is used to transform the equations of motion into a set of three coupled nonlinear ordinary differential equations (ODEs) which then is solved in a semi-analytical way to get the dynamical response of the plate. Also, by using the Finite Element Method (FEM) with ANSYS software, the obtained results in nonlinear form are verified by FEM results. Then, a parametric study is conducted by changing the size of moving mass/force and the velocity of the traveling mass/force with a constant acceleration/deceleration, and the outcome nonlinear results are compared to the results from linear solution.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
151--166
Opis fizyczny
Bibliogr. 26 poz., rys.
Twórcy
autor
- Department of Mechanical Engineering, Parand Branch, Islamic Azad University, Tehran, Iran
autor
- Department of Mechanical and Aerospace Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran
autor
- Department of Mechanical Engineering, Sharif University of Technology, Tehran, Iran
Bibliografia
- 1. Amabili M., 2004, Nonlinear vibrations of rectangular plates with different boundary conditions: theory and experiments, Computers and Structures, 82, 2587-2605
- 2. Eftekhari S.A., Jafari A.A., 2012, Vibration of an initially stressed rectangular plate due to an accelerated traveling mass, Scientia Iranica, 19, 5, 1195-1213
- 3. Esan I., 2013, A new finite element for transverse vibration of rectangular thin plates under a moving mass, Finite Elements in Analysis and Design, 66, 26-35
- 4. Fryba L., 1999, Vibration of Solids and Structures under Moving Loads, London: Thomas Telford Publishing
- 5. Gbadeyan J.A., Dada M.S., 2006, Dynamic response of a Mindlin elastic rectangular plate under a distributed moving mass, International Journal of Mechanical Science, 48, 323-340
- 6. Ghafoori E., Asghari M., 2010, Dynamic analysis of laminated composite plates traversed by a moving mass based on a first-order theory, Composite Structures, 92, 1865-1876
- 7. Ghafoori E., Kargarnovin M.H., Ghahremani A.R., 2010, Dynamic responses of rectangular plate under motion of an oscillator using a semi-analytical method, Journal of Vibration and Control, 17, 9, 1310-1324
- 8. Huang M.H., Thambiratnam D.P., 2001, Deflection response of plate on Winkler foundation to moving accelerated loads, Engineering Structures, 23, 1134-1141
- 9. Law S.S., Bu J.Q., Zhu Z.Q., Chan S.L., 2007, Moving load identification on a simply supported orthotropic plate, International Journal of Mechanical Science, 49, 1262-1275
- 10. Leissa A.W., 1969, Vibration of Plates, Washington D.C., US Government Printing Office
- 11. Mamandi A., Kargarnovin M.H., 2011a, Dynamic analysis of an inclined Timoshenko beam traveled by successive moving masses/forces with inclusion of geometric nonlinearities, Acta Mechanica, 218, 1, 9-29
- 12. Mamandi A., Kargarnovin M.H., 2011b, Nonlinear dynamic analysis of an inclined Timoshenko beam subjected to a moving mass/force with beam’s weight included, Shock and Vibration, 18, 6, 875-891
- 13. Mamandi A., Kargarnovin M.H., 2013, Nonlinear dynamic analysis of an axially loaded rotating Timoshenko beam with extensional condition included subjected to general type of force moving along the beam length, Journal of Vibration and Control, 19, 16, 2448-2458
- 14. Mamandi A., Kargarnovin M.H., 2014, Nonlinear dynamic analysis of a Timoshenko beam resting on a viscoelastic foundation and traveled by a moving mass, Shock and Vibration, Article ID 242090, 1-10
- 15. Mamandi A., Kargarnovin M.H., Farsi S., 2010a, An investigation on effects of traveling mass with variable velocity on nonlinear dynamic response of an inclined Timoshenko beam with different boundary conditions, International Journal of Mechanical Sciences, 52, 1694-1708
- 16. Mamandi A., Kargarnovin M.H., Farsi S., 2013, Nonlinear vibration solution of an inclined Timoshenko beam under the action of a moving force with constant/non-constant velocity, Nonlinear Oscillations, 16, 3, 385-407
- 17. Mamandi A., Kargarnovin M.H., Younesian D., 2010b, Nonlinear dynamics of an inclined beam subjected to a moving load, Nonlinear Dynamics, 60, 277-293
- 18. Meirovitch L., 1997, Principles and Techniques of Vibrations, New Jersey, Printice-Hall Inc.
- 19. Mohebpour S.R., Malekzadeh P., Ahmadzadeh A.A., 2011, Dynamic analysis of laminated composite plates subjected to a moving oscillator by FEM, Composite Structures, 93, 1574-1583
- 20. Nayfeh A.H., Mook D.T., 1995, Nonlinear Oscillations, New York, Wiley-Interscience
- 21. Timoshenko S.P., 1959, Theory of Plates and Shells, New York, Mc Graw-Hill
- 22. Ugural A.C., 1999, Stresses in Plates and Shells, Singapore, McGraw-Hill
- 23. Vaseghi Amiri J., Nikkhoo A., Davoodi M.R., Ebrahimzadeh Hassanabadi M., 2013, Vibration analysis of a Mindlin elastic plate under a moving mass excitation by eigenfunction expansion method, Thin-Walled Structures, 62, 53-64
- 24. Wu J.-J., 2003, Vibration of a rectangular plate undergoing forces moving along a circular path, Finite Elements in Analysis and Design, 40, 41-60
- 25. Wu J.-J., 2005, Dynamic analysis of a rectangular plate under a moving line load using scale beams and scaling laws, Computers and Structures, 83, 1646-1658
- 26. Wu J.-J., 2007, Vibration analyses of an inclined flat plate subjected to moving loads, Journal of Sound and Vibration, 299, 373-387
Typ dokumentu
Bibliografia
Identyfikator YADDA
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