1 |
Leung, A.Y.T., Zhou, W.E., Lim, C.W., Yuen, R.K.K. and Lee, U. (2001) , "Dynamic stiffness for piecewise non-uniform Timoshenko column by power series-part I: conservative axial force", Inter. J. Numer. Meth. Eng., 51, 505-529.
DOI
ScienceOn
|
2 |
Posiadala, B. (1997), "Free vibration of uniform Timoshenko beams with attachments", J. Sound Vib., 204(2), 359-369.
DOI
ScienceOn
|
3 |
Rossi, R.E., Laura, P.A.A. and Gutierrez, R.H. (1990), "A note on transverse vibrations of Timoshenko beam of non-uniform thickness clamped at one end and carrying a concentrated mass at the other", J. Sound Vib., 143, 491-502.
DOI
ScienceOn
|
4 |
Rossi, R.E. and Laura, P.A.A. (1993), "Numerical experiments on vibrating linearly tapered Timoshenko beam", J. Sound Vib., 168, 179-183.
DOI
ScienceOn
|
5 |
Ruta, P. (2006), "The application of a Chebyshev polynomials to the solution of the non-prismatic Timoshenko beam vibration problem", J. Sound Vib., 296, 243-263.
DOI
|
6 |
Salarieh, H. and Ghorashi, M. (2006), "Free vibration of Timoshenko beam with finite mass rigid tip load and flexural-torsional coupling", Inter. J. Mech. Sci., 48, 763-779.
DOI
ScienceOn
|
7 |
Trefethen, L.N. (2000), Spectral Methods in Matlab, SIAM, Phila.
|
8 |
Cleghorn, W.L. and Tabarrok, B. (1992), "Finite element formulation of tapered Timoshenko beam for free lateral vibration analysis", J. Sound Vib., 152, 461-470.
DOI
ScienceOn
|
9 |
Costa, B. and Don, W.S. (2000), "On the computation of high order pseudospectral derivatives", Appl. Numer. Math., 33, 151-159.
DOI
ScienceOn
|
10 |
Don, W.S. and Solomonoff, A. (1995), "Accuracy and speed in computing the Chebyshev collocation derivative", SIAM J. Sci. Comput., 16, 1253-1268.
DOI
ScienceOn
|
11 |
Ferreira, A.J.M. and Fasshauer, G.E. (2006), "Computation of natural frequencies of shear deformable beams and plates by an RBF-pseudospectral method", Comput. Meth. Appl. Mech. Eng., 196, 124-146.
|
12 |
Gutierrez, R.H., Laura, P.A.A. and Rossi, R.E. (1991), "Fundamental frequency of vibration of a Timoshenko beam of non-uniform thickness", J. Sound Vib., 145, 241-245.
|
13 |
Ho, S.H. and Chen, C.K. (1998), "Analysis of general elastically restrained non-uniform beams using differential transform", Appl. Math. Mode., 22, 219-234.
DOI
ScienceOn
|
14 |
Hsu, J.C., Lai, H.Y. and Chen, C.K. (2009), "An innovative eigenvalue problem solver for free vibration of uniform Timoshenko beams by using the Adomian modified decomposition method", J. Sound Vib., 325, 451- 470.
DOI
|
15 |
Irie, T., Yamada, G. and Takahashi, I. (1980), "Vibration and stability of a non-uniform Timoshenko beam subjected to a flower force", J. Sound Vib., 70, 503-512.
DOI
ScienceOn
|
16 |
Karami, G., Malekzadeh, P. and Shahpari, S.A. (2003), "A DQEM for vibration of shear deformable non-uniform beams with general boundary conditions", Eng. Struct., 25, 1169-1178.
DOI
ScienceOn
|
17 |
Lee, J. and Schultz, W.W. (2004), "Eigenvalue analysis of Timoshenko beams and axisymmetric Mindlin plates by pseudospectral method", J. Sound Vib., 269, 609-621.
DOI
|
18 |
Lee, S.Y. and Lin, S.M. (1992), "Exact vibration solutions for non-uniform Timoshenko beams with attachments", AIAA J., 30, 2930-2934.
DOI
|
19 |
Lee, S.Y. and Lin, S.M. (1995), "Vibration of elastically restrained non-uniform Timoshenko beams", J. Sound Vib., 181, 403-415.
|
20 |
Leung, A.Y.T. and Zhou, W.E. (1995), "Dynamic stiffness analysis of non-uniform Timoshenko beams", J. Sound Vib., 181, 447-456.
DOI
ScienceOn
|