Dynamic response of non-uniform Timoshenko beams made of axially FGM subjected to multiple moving point loads |
Gan, Buntara S.
(Department of Architecture, College of Engineering, Nihon University)
Trinh, Thanh-Huong (Department of Architecture, College of Engineering, Nihon University) Le, Thi-Ha (Theoretical Group, Hanoi University of Transport and Communications) Nguyen, Dinh-Kien (Department of Solid Mechanics, Institute of Mechanics, Vietnam Academy of Science and Technology) |
1 | Shahba, A., Attarnejad, R., Marvi, T. and Hajilar, S. (2011a), "Free vibration and stability analysis of axially functionally graded tapered Timoshenko beams with classical and non-classical boundary conditions", Compos. Part B: Eng., 42(4), 801-808. DOI |
2 | Shahba, A., Attarnejad, R. and Hajilar, S. (2011b), "Free vibration and stability of axially functionally graded tapered Euler-Bernoulli beams", Shock Vib., 18(5), 683-696. DOI |
3 | Simsek, M. and Kocaturk, T. (2009), "Free and forced vibration of a functionally graded beam subjected to a concentrated moving harmonic load", Compos. Struct., 90(4), 465-473. DOI |
4 | Simsek, M. (2010), "Vibration analysis of a functionally graded beam under a moving mass by using different beam theories", Compos. Struct., 92(4), 904-917. DOI |
5 | Simsek, M., Kocaturk, T. and Akbas, D. (2012), "Dynamic behavior of an axially functionally graded beam under action of a moving harmonic load", Compos. Struct., 94, 2358-2364. DOI ScienceOn |
6 | Thambiranam, D. and Zhuge, Y. (1996), "Dynamic analysis of beams on elastic foundation subjected to moving loads", J. Sound Vib., 198, 149-169. DOI |
7 | Alshorbagy, A.E., Eltaher, M.A. and Mahmoud, F.F. (2011), "Free vibration chatacteristics of a functionally graded beam by finite element method", Appl. Math. Model., 35(1), 412-425. DOI |
8 | Birman, V. and Byrd, L.W. (2007), "Modeling and analysis of functionally graded materials and structures", Appl. Mech. Rev., 60(5), 195-216. DOI |
9 | Fryba, L. (1972), Vibration of solids and structures under moving loads, Academia, Prahue. |
10 | Geradin, M. and Rixen, D. (1997), Mechanical vibrations. Theory and application to structural dynamics, 2nd edition, John Willey & Sons, Chichester. |
11 | Henchi, K., Fafard, M., Dhatt, G. and Talbot, M. (1997), "Dynamic behavior of multi-span beams under moving loads", J. Sound Vib., 199(1), 33-50. DOI |
12 | Huang, Y. and Li, F. (2010), "A new approach for free vibration of axially functionally graded beams with non-uniform cross-section", J. Sound Vib., 96(1), 45-53. DOI |
13 | Koizumi, M. (1997), "FGM activities in Japan", Compos. Part B: Eng., 28(1-2), 1-4. DOI |
14 | Kosmatka, J.B. (1995), "An improve two-node finite element for stability and natural frequencies of axialloaded Timoshenko beams", Comput. Struct., 57(1), 141-149. DOI |
15 | Nguyen, D.K. and Le, H.T. (2011), "Dynamic characteristics of elastically supported beam subjected to a compressive axial force and a moving load", Viet. J. Mech., 33(2), 113-131. |
16 | Li, S., Hu, J., Zhai, C. and Xie, L. (2013), "A unified method for modeling of axially and/or transversally functionally graded beams with variable cross-section profile", Mech. Bas. Des. Struct. Mach., 41, 168-188. DOI |
17 | Lin, W.H. and Trethewey, M.W. (1990), "Finite element analysis of elastic beams subjected to moving dynamic loads", J. Sound Vib., 136, 323-342. DOI |
18 | Nguyen, D.K. (2008), "Dynamic response of prestressed Timoshenko beams resting on two-parameter foundation to moving harmonic load", Technische Mechanik, 28(3-4), 237-258. |
19 | Nguyen, D.K. (2013), "Large displacement response of tapered cantilever beams made of axially functionally graded material", Compos. Part B: Eng., 55, 298-305. DOI |
20 | Nguyen, D.K., Gan, B.S. and Le, T.H. (2013), "Dynamic response of non-uniform functionally graded beams subjected to a variable speed moving load", J. Comput. Sci. Tech., JSME, 7, 12-27. DOI |
21 | Nguyen, D.K. and Gan, B.S. (2014), "Large deflections of tapered functionally graded beams subjected to end loads", Appl. Math. Model., 38, 3054-3066. DOI |
22 | Nguyen, D.K., Gan, B.S. and Trinh, T.H. (2014), "Geometrically nonlinear analysis of planar beam and frame structures made of functionally graded material", Struct. Eng. Mech., 49(6), 727-743. DOI |
23 | Olsson, M. (1991), "On the fundamental moving load problem", J. Sound Vib., 152(2), 229-307. |