Advanced SearchSearch Tips
Resonance of a rectangular plate influenced by sequential moving masses
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
  • Journal title : Coupled systems mechanics
  • Volume 5, Issue 1,  2016, pp.87-100
  • Publisher : Techno-Press
  • DOI : 10.12989/csm.2016.5.1.087
 Title & Authors
Resonance of a rectangular plate influenced by sequential moving masses
Hassanabadi, Mohsen Ebrahimzadeh; Attari, Nader K.A.; Nikkhoo, Ali; Mariani, Stefano;
In this work, an improved semi-analytical technique is adopted to track the dynamic response of thin rectangular plates excited by sequential traveling masses. This technique exploits a so-called indirect definition of inertial interaction between the moving masses and the plate and leads to a reduction, in the equations of motion, of the number of time-varying coefficients linked to the changing position of the masses. By employing this optimized method, the resonance of the plate can be obtained according to a parametric study of relevant maximum dynamic amplification factor. For the case of evenly spaced, equal masses travelling along a straight line, the resonance velocity of the masses themselves is also approximately predicted via a fast methodology based on the fundamental frequency of the system only.
thin rectangular plate;resonance;traveling masses;semi-analytical procedures;optimized method;
 Cited by
Assessing Absolute Maximum Vibration Amplitude of a Rectangular Plate Subjected to a Moving Mass, Iranian Journal of Science and Technology, Transactions of Civil Engineering, 2017, 41, 2, 135  crossref(new windwow)
An analytical-numerical solution to assess the dynamic response of viscoelastic plates to a moving mass, Applied Mathematical Modelling, 2018, 54, 670  crossref(new windwow)
Bajer, C.I. and Dyniewicz, B. (2012), Numerical analysis of vibrations of structures under moving inertial load, Springer-Verlag, Berlin Heidelberg.

Bilello, C., Bergman, L.A. and Kuchma, D. (2004), "Experimental investigation of a small-scale bridge model under a moving mass", J. Struct. Eng.-ASCE, 130(5), 799-804. crossref(new window)

Bilello, C. and Bergman, L.A. (2004), "Vibration of damaged beams under a moving mass: theory and experimental validation", J. Sound Vib., 274(3), 567-582. crossref(new window)

Dimitrovova, Z. (2014), "On the moving mass versus moving load problem", Proceedings of the IX International Conference on Structural Dynamics (EURODYN2014), 30 June-2 de July, Porto, Portugal.

Ebrahimzadeh Hassanabadi, M., Attari, N.K.A., Nikkhoo, A. and Barandan, M. (2015), "An optimum modal superposition approach in the computation of moving mass induced vibrations of a distributed parameter system", Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 229(6), 1015-1028. crossref(new window)

Ebrahimzadeh Hassanabadi, M., Vaseghi Amiri, J. and Davoodi M.R. (2014), "On the vibration of a thin rectangular plate carrying a moving oscillator", Scientiairanica, 21(2), 284-294.

Eftekhar Azam, S., Mofid, M. and Afghani Khoraskani, R. (2013), "Dynamic response of Timoshenko beam under moving mass", Scientiairanica, 20(1), 50-56.

Fryba, L. (1999), Vibration of solids and structures under moving loads, Thomas Telford, London, UK.

Gonzalez, A., Rattigan, P., O'Brien E.J. and Caprani, C. (2008), "Determination of bridge lifetime dynamic amplification factor using finite element analysis of critical loading scenarios", Eng. Struct., 30, 2330-2337. crossref(new window)

Green, M.F. and Cebon, D. (1994), "Dynamic response of highway bridges to heavy vehicle loads: theory and experimental validation", J. Sound Vib., 170(1), 51-78. crossref(new window)

Khoraskani, R.A., Mofid, M., Eftekhar Azam, S. and Ebrahimzadeh Hassanabadi, M. (2016), "A new simplified formula in prediction of the resonance velocity for multiple masses traversing a thin beam", Scientiairanica, 23(1), 133-141.

Kumar, R., Kumar, A. and Kumar Panda, S. (2015), "Parametric resonance of composite skew plate under non-uniform in-plane loading", Struct. Eng. Mech., 55(2), 435-459. crossref(new window)

Leissa, A.W. (1973), "The free vibration of rectangular plates", J. Sound Vib., 31(3), 257-293. crossref(new window)

Lotfollahi-Yaghin, M.A., Jafarian Kafshgarkolaei, H., Allahyari, H. and Ghazvini, T. (2015), "On the absolute maximum dynamic response of a beam subjected to a moving mass", Struct. Eng. Mech., 54(1), 55-67. crossref(new window)

Martinez-Rodrigo, M.D., Lavado, J. and Museros, P. (2010a), "Dynamic performance of existing high-speed railway bridges under resonant conditions retrofitted with fluid viscous dampers", Eng. Struct., 32, 808-828. crossref(new window)

Martinez-Rodrigo, M.D., Lavado, J. and Museros, P. (2010b), "Transverse vibrations in existing railway bridges under resonant conditions: Single-track versus double-track configurations", Eng. Struct., 32, 1861-1875. crossref(new window)

Maximov J.T. (2014), "A new approach to modeling the dynamic response of Bernoulli-Euler beam under moving load", Coupled Syst. Mech., 3(3), 247-265. crossref(new window)

Mohebpour, S.R., Daneshmand, F. and Mehregan. H.A. (2013), "Numerical analysis of inclined flexible beam carrying one degree of freedom moving mass including centrifugal and coriolis accelerations and rotary inertia effects", Mech. Based Des. Struct. Mach., 41(2), 123-145.

Nikkhoo, A. (2014), "Investigating the behavior of smart thin beams with piezoelectric actuators under dynamic loads", Mech. Syst. Signal Pr., 45(2), 513-530. crossref(new window)

Nikkhoo, A., Ebrahimzadeh Hassanabadi, M., Eftekhar Azam, S. and Vaseghi Amiri, J. (2014), "Vibration of a thin rectangular plate subjected to series of moving inertial loads", Mech. Res. Commu., 55, 105-113. crossref(new window)

Nikkhoo, A., Farazandeh, A., Ebrahimzadeh Hassanabadi, M. and Mariani, S. (2015), "Simplified modeling of beam vibrations induced by a moving mass through regression analysis", Acta Mech., 226(7), 2147-2157. crossref(new window)

Nikkhoo, A. and Rofooei, F.R. (2012), "Parametric study of the dynamic response of thin rectangular plates traversed by a moving mass", Acta Mech., 223(1), 15-27. crossref(new window)

Ouyang, H. (2011), "Moving-load dynamic problems: A tutorial (with a brief overview)", Mech. Syst. Signal Pr., 25, 2039-2060. crossref(new window)

Pirmoradian, M., Keshmiri, M. and Karimpour, H. (2014), "On the parametric excitation of a Timoshenko beam due to intermittent passage of moving masses: instability and resonance analysis", Acta Mechanica, 226(4), 1241-1253.

Roshandel, D., Mofid, M. and Ghannadiasl, A. (2015), "Dynamic response of a non-uniform Timoshenko beam, subjected to moving mass", Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 229(14), 2499-2513. crossref(new window)

Shadnam, M.R., Mofid, M. and Akin, J.E. (2001), "On the dynamic response of rectangular plate, with moving mass", Thin Wall. Struct., 39(9), 797-806. crossref(new window)

Stancioiu, D., James, S., Ouyang, H. and Mottershead, J.E. (2009), "Vibration of a continuous beam excited by a moving mass and experimental validation", J. Physics: Conference Series (Vol. 181, No. 1, p. 012084). IOP Publishing August.

Wang, J.F., Lin, C.C. and Chen, B.L. (2003), "Vibration suppression for high-speed railway bridges using tuned mass dampers", Int. J. Solids Struct., 40, 465-491. crossref(new window)

Wang, Y.M. and Ming-Yuan, K. (2014), "The interaction dynamics of a vehicle traveling along a simply supported beam under variable velocity condition", Acta Mech., 225(12), 3601-3616. crossref(new window)

Yang, Y.B., Yau, J.D. and Wu, Y.S. (2004), Vehicle-Bridge Interaction Dynamics: With Applications to High-Speed Railways, World Scientific, Singapore.

Zarfam, R., Khaloo, A.R. and Nikkhoo, A. (2013), "On the response spectrum of Euler-Bernoulli beams with a moving mass and horizontal support excitation", Mech. Res. Commun., 47, 77-83. crossref(new window)