Details

Title

Free vibrations of uniform Timoshenko beams on Pasternak foundation using Coupled Displacement Field method

Journal title

Archive of Mechanical Engineering

Yearbook

2017

Volume

vol. 64

Issue

No 3

Affiliation

Rajesh, Korabathina : Jawaharlal Nehru Technological University Kakinada, Andhra Pradesh, India ; Saheb, Koppanati Meera : Jawaharlal Nehru Technological University Kakinada, Andhra Pradesh, India

Authors

Keywords

free vibration ; Coupled Displacement Field method ; uniform Timoshenko beam ; Pasternak foundation

Divisions of PAS

Nauki Techniczne

Coverage

359-373

Publisher

Polish Academy of Sciences, Committee on Machine Building

Bibliography

[1] C.F. Lü, C.W. Lim, and W.A. Yao. A new analytic symplectic elasticity approach for beams resting on Pasternak elastic foundations. Journal of Mechanics of Materials and Structures, 4(10):1741–1754, 2010. doi: 10.2140/jomms.2009.4.1741.
[2] C. Franciosi and A. Masi. Free vibrations of foundation beams on two-parameter elastic soil. Computers & Structures, 47(3):419–426, 1993. doi: 10.1016/0045-7949(93)90237-8.
[3] I. Caliò and A. Greco. Free vibrations of Timoshenko beam-columns on Pasternak foundations. Journal of Vibration and Control, 19(5):686–696, 2013. doi: 10.1177/1077546311433609.
[4] S. Lee, J.K. Kyu Jeong and J. Lee. Natural frequencies for flexural and torsional vibrations of beams on Pasternak foundation. Soils and Foundations, 54(6):1202–1211, 2014. doi: 10.1016/j.sandf.2014.11.013.
[5] M.A. De Rosa. Free vibrations of Timoshenko beams on two-parameter elastic foundation. Computers & Structures, 57(1):151–156, 1995. doi: 10.1016/0045-7949(94)00594-S.
[6] M.A. De Rosa and M.J. Maurizi. The influence of concentrated masses and Pasternak soil on the free vibrations of Euler beams—exact solution. Journal of Sound and Vibration, 212(4):573–581, 1998. doi: 10.1006/jsvi.1997.1424.
[7] M. Karkon and H. Karkon. New element formulation for free vibration analysis of Timoshenko beam on Pasternak elastic foundation. Asian Journal of Civil Engineering (BHRC), 17(4):427–442, 2016.
[8] K. Meera Saheb et al. Free vibration analysis of Timoshenko beams using Coupled Displacement Field Method. Journal of Structural Engineering, 34:233–236, 2007.
[9] M.T. Hassan and M. Nassar. Analysis of stressed Timoshenko beams on two parameter foundations. KSCE Journal of Civil Engineering, 19(1):173–179, 2015. doi: 10.1007/s12205-014-0278-8.
[10] N.D. Kien. Free vibration of prestress Timoshenko beams resting on elastic foundation. Vietnam Journal of Mechanics, 29(1):1–12, 2007. doi: 10.15625/0866-7136/29/1/5586.
[11] P. Obara. Vibrations and stability of Bernoulli-Euler and Timoshenko beams on two-parameter elastic foundation. Archives of Civil Engineering, 60(4):421–440, 2014. doi: 10.2478/ace-2014-0029.
[12] S.Y. Lee, Y.H. Kuo, and F.Y. Lin. Stability of a Timoshenko beam resting on a Winkler elastic foundation. Journal of Sound and Vibration, 153(2):193–202, 1992. doi: 10.1016/S0022-460X(05)80001-X.
[13] T.M. Wang and J.E. Stephens. Natural frequencies of Timoshenko beams on Pasternak foundations. Journal of Sound and Vibration, 51(2):149–155, 1977. doi: 10.1016/S0022-460X(77)80029-1.
[14] T.M. Wang and L.W. Gagnon. Vibrations of continuous Timoshenko beams on Winkler-Pasternak foundations. Journal of Sound and Vibration, 59(2):211–220, 1978. doi: 10.1016/0022-460X(78)90501-1.
[15] T. Yokoyama. Vibration analysis of Timoshenko beam-columns on two-parameter elastic foundations. Computers & Structures, 61(6):995–1007, 1996. doi: 10.1016/0045-7949(96)00107-1.
[16] T. Yokoyama. Parametric instability of Timoshenko beams resting on an elastic foundation. Computers & Structures, 28(2):207–216, 1988. doi: 10.1016/0045-7949(88)90041-7.
[17] W.Q. Chen, C.F. Lü, and Z.G. Bian. A mixed method for bending and free vibration of beams resting on a Pasternak elastic foundation. Applied Mathematical Modelling, 28(10):877–890, 2004. doi: 10.1016/j.apm.2004.04.001.

Date

2017

Type

Artykuły / Articles

Identifier

DOI: 10.1515/meceng-2017-0022 ; ISSN 0004-0738, e-ISSN 2300-1895

Source

Archive of Mechanical Engineering; 2017; vol. 64; No 3; 359-373
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