1 |
Kisa, M. and Gurel, M.A. (2007) Free vibration analysis of uniform and stepped cracked beams with circular cross section. International Journal of Engineering Science, Vol. 45, Issues 2-8, pp. 364-380.
DOI
ScienceOn
|
2 |
Lee, B.K., Jeong, J.S., Li, G.F., and Jin, T.K. (1999) Free vibrations of tapered piles embedded partially in Winkler type foundations. KSCE Journal of Civil Engineering, Vol. 3, No. 2, pp. 195-203.
DOI
ScienceOn
|
3 |
Lee, B.K., Oh, S.J., and Lee, T.E. (2002) Novel methods for calculating natural frequencies and buckling loads of columns with intermediate multiple elastic springs. International Journal of Structural Stability and Dynamics, Vol. 2, No. 4, pp. 559-571.
DOI
|
4 |
Morfidis, K. (2010) Vibration of timoshenko beams on three-parameter elastic foundation. Computer & Structures, Vol. 88, Issues 5-6, pp. 294-308.
DOI
ScienceOn
|
5 |
Paz, M. (1997) Structural dynamics. Kluver Academic Publishers, Netherlands.
|
6 |
Salmon, C.G. and Johnson, J.E. (1996) Steel structures. Harper Collins College Publisher, USA.
|
7 |
Timoshenko, S.P., Young, D.H., and Weaver, W. (1974) Vibration problems in engineering. Wiley & Sons, Inc., USA.
|
8 |
Yang, J., Chen, Y., Xiang, Y., and Jia, X.L. (2008) Free and forced vibration of cracked inhomogeneous beams under an axial force and a moving load. Journal of Sound and Vibration, Vol. 312, Issues 1-2, pp. 166-181.
DOI
ScienceOn
|
9 |
이병구, 오상진, 박창은, 이태은(2011) 일정 표면적 변단면 보의 자유진동. 한국소음진동공학회논문집, 한국소음진동공학회, 제21권 제1호, pp. 66-73.
|
10 |
Alonso, R.L. and Riberio, P. (2008) Flexural and torsional non-linear free vibrations of beams using a p-version finite element. Computer & Structures, Vol. 86, Issues 11-12, pp. 1189-1197.
DOI
ScienceOn
|
11 |
Carnahan, B., Luther, H.A., and Wilkes, J.O. (1969) Applied numerical methods. John Wiley and Sons, USA.
|
12 |
Attarnejad, R., Semnani, S.J., and Shahba A. (2010) Basic displacement functions for free vibration analysis of non-prismatic Timoshenko beams. Finite Elements in Analysis and Design, Vol. 46, Issue 10, pp. 916-929.
DOI
ScienceOn
|
13 |
Banerjee, J.R. (2003) Free vibration of sandwich beams using dynamic stiffness method. Computer & Structures Vol. 81, Issues 18-19, pp. 1915-1922.
DOI
ScienceOn
|
14 |
Calim, F.F. (2009) Free and forced vibrations of nonuniform composit beams. Composit Structures, Vol. 88, Issue 3, pp. 413-423.
DOI
ScienceOn
|
15 |
Chen, W.Q., Lu, C.F., and Bian Z.G. (2004) A mixed method for bending and free vibration of beams resting on a Pasternak elastic foundation. Applied Mathematical Modelling, Vol. 28, Issue 10, pp. 877-890.
DOI
ScienceOn
|
16 |
Chopra, A.K. (2001) Dynamics of structures. Prentice-Hall, USA.
|
17 |
Foda, M.A. (1999) Influence of shear deformation and rotatory inertia on nonlinear free vibration of beam with pinned ends. Computer & Structures, Issue 6, pp. 663-670.
|
18 |
Ganesan R. and Zabihollah, A. (2007) Vibration analysis of tapered composite beams using higher-order finite element. Part I: Formulation. Composit Structures, Vol. 77, Issue 3, pp. 306-318.
DOI
ScienceOn
|
19 |
Humar, J.L. (1990) Dynamics of structures. Prentice-Hall, USA.
|
20 |
Khalili, S.M.R., Jafari, A.A., and Eftekhari, S.A. (2010) A mixed Ritz-DQ method for forced vibration of functionally graded beams carrying moving loads. Composit Structures, Vol. 92, Issue 10, pp. 2497-2511.
DOI
ScienceOn
|