Dynamic response of functionally graded beams in a thermal environment under a moving load

References

• K.S. Ravichandran, Thermal residual stresses in a functionally graded material system, Mater. Sci. Eng., A, vol. 201, pp. 269–276, 1995.
   Web of Science ®Google Scholar
• M. Koizumi, FGM activities in Japan, Compos. Eng., vol. 28, pp. 1–4, 1997.
   Web of Science ®Google Scholar
• W. Liu and Z. Zhong, Three-dimensional thermoelastic analysis of functionally graded plate, Acta Mech. Solida Sin., vol. 24, pp. 241–249, 2011.
   Web of Science ®Google Scholar
• L. Fryba, Vibration of Solid and Structures under Moving Loads, Noordhoff International, Groningen, the Netherlands, 1972.
   Google Scholar
• Y.H. Lin and M.W. Trethewey, Finite element analysis of elastic beams subjected to moving dynamic loads, J. Sound Vib., vol. 136, pp. 323–342, 1990.
   Web of Science ®Google Scholar
• K. Henchi, M. Fafard, G. Dhatt, and M. Talbot, Dynamic behaviour of multi-span beams under moving loads, J. Sound Vib., vol. 199, pp. 33–50, 1997.
   Web of Science ®Google Scholar
• R.T. Wang, Vibration of multi-span Timoshenko beams to a moving force, J. Sound Vib., vol. 207, pp. 731–742, 1997.
   Web of Science ®Google Scholar
• M.H. Kadivar and S.R. Mohebpour, Finite element dynamic analysis of unsymmetric composite laminated beams with shear effect and rotary inertia under the action of moving loads, Finite Elem. Anal. Des., vol. 29, pp. 259–273, 1998.
   Web of Science ®Google Scholar
• X.Q. Zhu and S.S. Law, Moving forces identification on multi-span continuous bridge, J. Sound Vib., vol. 228, pp. 377–396, 1999.
   Web of Science ®Google Scholar
• T.H.T. Chan and T.H. Yung, A theoretical study of force identification using prestressed concrete bridges, Eng. Struct., vol. 22, pp. 1529–1537, 2000.
   Web of Science ®Google Scholar
• M. Abu-Hilal and M. Mohsen, Vibration of beams with general boundary conditions due to moving harmonic load, J. Sound Vib., vol. 232, pp. 703–717, 2000.
   Web of Science ®Google Scholar
• T. Kocatürk and M. Şimşek, Vibration of viscoelastic beams subjected to an eccentric compressive force and a concentrated moving harmonic force, J. Sound Vib., vol. 291, pp. 302–322, 2006.
   Web of Science ®Google Scholar
• T. Kocatürk and M. Şimşek, Dynamic analysis of an eccentrically prestressed viscoelastic Timoshenko beams under a moving harmonic load, Comput. Struct., vol. 84, pp. 2113–2127, 2006.
   Web of Science ®Google Scholar
• T. Kocatürk and M. Şimşek, Dynamic analysis of an eccentrically prestressed damped beam under a moving harmonic force using higher order shear deformation theory, J. Struct. Eng,, vol. 133, pp. 1733–1741, 2007.
   Web of Science ®Google Scholar
• J. Yang, Y. Chen, Y. Xiang, and X.L. Jia, Free and forced vibration of cracked inhomogeneous beams under an axial force and a moving load, J. Sound Vib., vol. 312, pp. 166–181, 2008.
   Web of Science ®Google Scholar
• S.M. Hasheminejad and A. Rafsanjani, Three-dimensional vibration analysis of thick FGM plate strips under moving line loads, Mech. Adv. Mater. Struct., vol. 16, pp. 417–428, 2009.
   Web of Science ®Google Scholar
• M. Şimşek and T. Kocatürk, Free and forced vibration of a functionally graded beam subjected to a concentrated moving harmonic load, Compos. Struct., vol.90, pp. 465–473, 2009.
   Web of Science ®Google Scholar
• M. Şimşek, Vibration analysis of a functionally graded beam under a moving mass by using different beam theories, Compos. Struct., vol. 92, pp. 904–917, 2010.
   Web of Science ®Google Scholar
• M. Şimşek, Non-linear vibration analysis of a functionally graded Timoshenko beam under action of a moving harmonic load, Compos. Struct., vol. 92, pp. 2532–2546, 2010.
   Web of Science ®Google Scholar
• T. Yan and J. Yang, Forced vibration of edge-cracked functionally graded beams due to a transverse moving load, Procedia Eng., vol. 14, pp. 3293–3300, 2011.
   Google Scholar
• T. Yan, S. Kitipornchai, J. Yang, and X.Q. He, Dynamic behaviour of edge-cracked shear deformable functionally graded beams on an elastic foundation under a moving load, Compos. Struct., vol. 93, pp. 2992–3001, 2011.
   Web of Science ®Google Scholar
• P. Malekzadeh and A. Shojaee, Dynamic response of functionally graded beams under moving heat source, J. Vib. Control, vol. 21, pp. 2755–2772, 2015. DOI: 10.1177/1077546312464990.
   Web of Science ®Google Scholar
• H.J. Xiang and J. Yang, Free and forced vibration of a laminated FGM Timoshenko beam of variable thickness under heat conduction, Compos. Eng., vol. 39, pp. 292–303, 2008.
   Web of Science ®Google Scholar
• P. Malekzadeh, M.M. Atashi, and G. Karami, In-plane free vibration of functionally graded circular arches with temperature-dependent properties under thermal environment, J. Sound Vib., vol. 326, pp. 837–851, 2009.
   Web of Science ®Google Scholar
• P. Malekzadeh, M.R. Golbahar Haghighi, and M.M. Atashi, Out-of-plane free vibration of functionally graded circular curved beams in thermal environment, Compos. Struct., vol. 92 . 541–552, 2010.
   Web of Science ®Google Scholar
• A. Mahi, E.A. Adda Bedia, A. Tounsi, and I. Mechab, An analytical method for temperature-dependent free vibration analysis of functionally graded beams with general boundary conditions, Compos. Struct., vol. 92, pp. 1877–1887, 2010.
   Web of Science ®Google Scholar
• M. Azadi, Free and forced vibration analysis of FG beam considering temperature dependency of material properties, J. Mech. Sci. Technol. vol. 25, pp. 69–80, 2011.
   Web of Science ®Google Scholar
• J.J. Wu, A.R. Whittaker, and M.P. Cartmell, The use of finite element techniques for calculating the dynamic response of structures to moving loads, Comput. Struct., vol. 78, pp. 789–799, 2000.
   Web of Science ®Google Scholar
• E. Ghafoori and M. Asghari, Dynamic analysis of laminated composite plates traversed by a moving mass based on a first-order theory, Compos. Struct., vol. 92, pp. 1865–1876, 2010.
   Web of Science ®Google Scholar
• E. Ghafoori, M.H. Kargarnovin, and A. Ghahremani, Dynamic responses of a rectangular plate under motion of an oscillator using a semi-analytical method, J. Vib. Control, vol. 17, pp. 1310–1324, 2011.
   Web of Science ®Google Scholar
• S.R. Mohebpour, P. Malekzadeh, and A.A. Ahmadzadeh, Dynamic analysis of laminated composite plates subjected to a moving oscillator by FEM, Compos. Struct., vol. 93, pp. 1574–1583, 2011.
   Web of Science ®Google Scholar
• Y.W. Kim, Temperature dependent vibration analysis of functionally graded rectangular plates, J. Sound Vib., vol. 284, pp. 531–549, 2005.
   Web of Science ®Google Scholar
• J.N. Reddy, An Introduction to the Finite Element Method, 3rd Edition, McGraw-Hill Higher Education, New York, 2006.
   Google Scholar
• A.E. Alshorbagy, M.A. Eltaher, and F.F. Mahmoud, Free vibration characteristics of a functionally graded beam by finite element method, Appl. Math. Modell., vol. 35, pp. 412–425, 2011.
   Web of Science ®Google Scholar