1 |
Catal, S. (2008), "Solution of free vibration equations of beam on elastic soil by using differential transform method", Appl. Math. Model., 32, 1744-1757.
DOI
ScienceOn
|
2 |
Catal, S. and Catal, H.H. (2006), "Buckling analysis of partially embedded pile in elastic soil using differential transform method", Struct. Eng. Mech., 24(2), 247-268.
DOI
|
3 |
Ozkaya, E. and Oz, H.R. (2002), "Determination of natural frequencies and stability regions of axially moving beams using artificial neural networks method", J. Sound Vib., 252, 782-789.
DOI
ScienceOn
|
4 |
Chen, C.K. and Ho, S.H. (1999), "Transverse vibration of a rotating twisted Timoshenko beams under axial loading using differential transform", Int. J. Mech. Sci., 41, 1339-1356.
DOI
ScienceOn
|
5 |
Ho, S.H. and Chen, C.K. (2006), "Free transverse vibration of an axially loaded non-uniform sinning twisted Timoshenko beam using differential transform", Int. J. Mech. Sci., 48, 1323-1331.
DOI
ScienceOn
|
6 |
Oz, H.R. (2003), "Natural frequencies of axially travelling tensioned beam in contact with a stationary mass", J. Sound Vib., 259, 445-456.
DOI
ScienceOn
|
7 |
Lee, U. and Jang, J. (2007), "On the boundary conditions for axially moving beams", J. Sound Vib., 306, 675-690.
DOI
|
8 |
Malik, M. and Dang, H.H. (1998), "Vibration analysis of continuous systems by differential transformation", Appl. Math. Comput., 96, 17-26.
DOI
ScienceOn
|
9 |
Cepon, G. and Boltezar, M. (2007), "Computing the dynamic response of an axially moving continuum", J. Sound Vib., 300, 316-329.
DOI
ScienceOn
|
10 |
Chen, C.K. and Ho, S.H. (1996), "Application of differential transformation to eigenvalue problem", J. Appl. Math. Comput., 79, 173-188.
DOI
|
11 |
Chen, L.Q. and Wang, B. (2009), "Stability of axially accelerating viscoelastic beams: Asymptotic perturbation analysis and differential quadrature validation", Eur. J. Mech. A-Solid., 28, 786-791.
DOI
ScienceOn
|
12 |
Chen, L.Q. and Yang, X.D. (2007), "Nonlinear free transverse vibration of an axially moving beam: Comparison of two models", J. Sound Vib., 299, 348-354.
DOI
|
13 |
Chen, S.H., Huang, J.L. and Sze, K.Y. (2007), "Multidimensional Lindstedt-Poincare method for nonlinear vibration of axially moving beams", J. Sound Vib., 306, 1-11.
DOI
|
14 |
Banerjee, J.R. and Gunawardana, W.D. (2007), "Dynamic stiffness matrix development and free vibration analysis of a moving beam", J. Sound Vib., 303, 135-143.
DOI
ScienceOn
|
15 |
Bert, C.W. and Zeng, H. (2004), "Analysis of axial vibration of compound bars by differential transformation method", J. Sound Vib., 275, 641-647.
DOI
ScienceOn
|
16 |
Oz, H.R. (2001), "On the vibrations of an axially travelling beam on fixed supports with variable velocity", J. Sound Vib., 239, 556-564.
DOI
ScienceOn
|
17 |
Buffinton, K.W. and Kane, T.R. (1985), "Dynamics of a beam moving over supports", Int. J. Solids Struct., 21, 617-643.
DOI
ScienceOn
|
18 |
Catal, S. (2006), "Analysis of free vibration of beam on elastic soil using differential transform method", Struct. Eng. Mech., 24(1), 51-62.
DOI
|
19 |
Sreeram, T.R. and Sivaneri, N.T. (1998), "FE-analysis of a moving beam using Lagrangian multiplier method", Int. J. Solids Struct., 35, 3675-3694.
DOI
ScienceOn
|
20 |
Tabarrok, B., Leech, C.M. and Kim, Y.I. (1974), "On the dynamics of an axially moving beam", J. Franklin I., 297, 201-220.
DOI
ScienceOn
|
21 |
Oz, H.R. and Pakdemirli, M. (1999), "Vibrations of an axially moving beam with time dependent velocity", J. Sound Vib., 227, 239-257.
DOI
ScienceOn
|
22 |
Hwang, S.J. and Perkins, N.C. (1992b), "Supercritical stability of an axially moving beam, part II: Vibration and stability analysis", J. Sound Vib., 154, 397-409.
DOI
ScienceOn
|
23 |
Ozdemir, O. and Kaya, M.O. (2006), "Flapwise bending vibration analysis of a rotating tapered cantilever Bernoulli-Euler beam by differential transform method", J. Sound Vib., 289, 413-420.
DOI
ScienceOn
|
24 |
Ozgumus, O.O. and Kaya, M.O. (2006), "Flapwise bending vibration analysis of double tapered rotating Euler- Bernoulli beam by using the differential transform method", Meccanica, 41, 661-670.
DOI
ScienceOn
|
25 |
Hwang, S.J. and Perkins, N.C. (1992a), "Supercritical stability of an axially moving beam, part I: Model and equilibrium analysis", J. Sound Vib., 154, 381-396.
DOI
ScienceOn
|
26 |
Jang, M.J. and Chen, C.L. (1997), "Analysis of the response of a strongly non-linear damped system using a differential transformation technique", Appl. Math. Comput., 88, 137-151.
DOI
|
27 |
Kaya, M.O. and Ozgumus, O.O. (2007), "Flexural-torsional-coupled vibration analysis of axially loaded closedsection composite Timoshenko beam by using DTM", J. Sound Vib., 306, 495-506.
DOI
|
28 |
Yesilce, Y. and Catal, S. (2009), "Free vibration of axially loaded Reddy-Bickford beam on elastic soil using the differential transform method", Struct. Eng. Mech., 31(4), 453-476.
DOI
|
29 |
Tang, Y.Q., Chen, L.Q. and Yang, X.D. (2008), "Natural frequencies, modes and critical speeds of axially moving Timoshenko beams with different boundary conditions", Int. J. Mech. Sci., 50, 1448-1458.
DOI
ScienceOn
|
30 |
Wickert, J.A. and Mote, C.D. (1990), "Classical vibration analysis of axially moving continua", J. Appl. Mech., 57, 738-744.
DOI
|
31 |
Zhou, J.K. (1986), Differential Transformation and Its Applications for Electrical Circuits, Huazhong University Press, Wuhan China.
|
32 |
Ozgumus, O.O. and Kaya, M.O. (2007), "Energy expressions and free vibration analysis of a rotating double tapered Timoshenko beam featuring bending-torsion coupling", Int. J. Eng. Sci., 45, 562-586.
DOI
ScienceOn
|
33 |
Pellicano, F. (2005), "On the dynamic properties of axially moving systems", J. Sound Vib., 281, 593-609.
DOI
ScienceOn
|
34 |
Rajasekaran, S. (2008), "Buckling of fully and partially embedded non-prismatic columns using differential quadrature and differential transformation methods", Struct. Eng. Mech., 28(2), 221-238.
DOI
|