Response of forced Euler-Bernoulli beams using differential transform method

作者: Seval Catal

DOI: 10.12989/SEM.2012.42.1.095

关键词:

摘要: In this paper, forced vibration differential equations of motion Euler-Bernoulli beams with different boundary conditions and dynamic loads are solved using transform method (DTM), analytical solutions. Then, the modal deflections these obtained. The calculated DTM represented in tables depicted graphs compared results solutions where a very good agreement is observed.

参考文章(19)
Naki Tutuncu, Kerimcan Celebi, Ibrahim Keles, EExact Solutions for Forced Vibration of Non-Uniform Rods by Laplace Transformation gazi university journal of science. ,vol. 24, pp. 347- 353 ,(2011)
Yusuf Yesilce, Seval Catal, Free vibration of axially loaded Reddy-Bickford beam on elastic soil using the differential transform method Structural Engineering and Mechanics. ,vol. 31, pp. 453- 475 ,(2009) , 10.12989/SEM.2009.31.4.453
I.H. Abdel-Halim Hassan, Different applications for the differential transformation in the differential equations Applied Mathematics and Computation. ,vol. 129, pp. 183- 201 ,(2002) , 10.1016/S0096-3003(01)00037-6
Mario Paz, Lam Dung, Power series expansion of the general stiffness matrix for beam elements International Journal for Numerical Methods in Engineering. ,vol. 9, pp. 449- 459 ,(1975) , 10.1002/NME.1620090212
O. Ozdemir Ozgumus, M. O. Kaya, Vibration analysis of a rotating tapered Timoshenko beam using DTM Meccanica. ,vol. 45, pp. 33- 42 ,(2010) , 10.1007/S11012-009-9221-3
Ji Zhen-yi, Yeh Kai-yuan, Tong Xiao-hua, GENERAL ANALYTIC SOLUTION OF DYNAMIC RESPONSE OF BEAMS WITH NONHOMOGENEITY AND VARIABLE CROSS-SECTION Applied Mathematics and Mechanics-english Edition. ,vol. 13, pp. 779- 791 ,(1992) , 10.1007/BF02481798
Z.-J. Fan, J.-H. Lee, K.-H. Kang, K.-J. Kim, THE FORCED VIBRATION OF A BEAM WITH VISCOELASTIC BOUNDARY SUPPORTS Journal of Sound and Vibration. ,vol. 210, pp. 673- 682 ,(1998) , 10.1006/JSVI.1997.1353