Dynamic Analysis of Axially Loaded Beams under Arbitrary Transverse Force

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Abstract:

A theoretical analytical solution on the linear responses of axially loaded beams subjected to arbitrary transverse impulsive loads was proposed in this paper, based on the Timoshenko’s beam theory. The equivalent matrix of frequency, matrix of loads and modified matrix of mass were established respectively. Furthermore, the affecting parameters of the beams such as length-depth ratio, axial compression ratio, boundary constraints and load conditions were discussed based on the analytical solution developed above, which were assumed subjected to the typical triangle impulsive loads. The results and conclusions were also helpful to the anti-blast analysis of columns

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247-251

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October 2011

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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[1] H. Abramovich. Natural frequencies of Timoshenko beams under compressive axial loads: Journal of Sound and Vibration Vol. 157(1992), pp.183-189.

DOI: 10.1016/0022-460x(92)90574-h

Google Scholar

[2] J.B. Kosmatka. An improved two-node finite element for stability and natural frequencies of axial-loaded Timoshenko beams: Computer & Structures Vol. 57 (1995), pp.141-149.

DOI: 10.1016/0045-7949(94)00595-t

Google Scholar

[3] Q.S. Li. Vibratory characteristics of Timoshenko beams with arbitrary number of cracks: Journal of Engineering Mechanics Vol. 129(2003), p.1355–1359.

DOI: 10.1061/(asce)0733-9399(2003)129:11(1355)

Google Scholar

[4] Kamil Aydin. Vibratory Characteristics of axially-loaded Timoshenko beams with arbitrary number of cracks: Journal of Vibration and Acoustics Vol. 129(2007), pp.341-354.

DOI: 10.1115/1.2731411

Google Scholar

[5] C. Mei and D. Allen. Analytical approach to free and forced vibrations of axially loaded cracked Timoshenko beams: Journal of Sound and Vibration Vol. 291(2006), pp.1041-1060.

DOI: 10.1016/j.jsv.2005.07.017

Google Scholar