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Effect of rotary inertia and shear on vibration and buckling of a double beam system under compressive axial loading

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Abstract

Free transverse vibration and buckling of a double-beam continuously joined by a Winkler elastic layer under compressive axial loading with the influence of rotary inertia and shear are considered in this paper. The motion of the system is described by a homogeneous set of two partial differential equations, which is solved by using the classical Bernoulli–Fourier method. The boundary value and initial value problems are solved. The natural frequencies and associated amplitude ratios of an elastically connected double-beam complex system and the analytical solution of the critical buckling load are determined. The presented theoretical analysis is illustrated by a numerical example, in which the effect of physical parameters characterizing the vibrating system on the natural frequency, the associated amplitude ratios and the critical buckling load are discussed.

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References

  1. Matsunaga H.: Buckling instabilities of thick elastic beams subjected to axial stresses. Comput. Struct. 59, 859–868 (1996)

    Article  MATH  Google Scholar 

  2. Matsunaga H.: Free vibration and stability of thin elastic beams subjected to axial forces. J. Sound Vib. 191, 917–933 (1996)

    Article  Google Scholar 

  3. Matsunaga H.: Vibration and buckling of deep beam-columns on two-parameter elastic foundations. J. Sound Vib. 228, 359–376 (1999)

    Article  Google Scholar 

  4. Levinson M.: A new rectangular beam theory. J. Sound Vib. 74, 81–87 (1981)

    Article  MATH  Google Scholar 

  5. Levinson M.: Further results of a new beam theory. J. Sound Vib. 77, 440–444 (1981)

    Article  MATH  Google Scholar 

  6. Wang W.T., Stephens E.J.: Natural frequencies of Timoshenko beams on Pasternak foundations. J. Sound Vib. 51, 149–155 (1977)

    Article  MATH  Google Scholar 

  7. De Rosa M.A.: Free vibrations of Timoshenko beams on two-parameter elastic foundation. Comput. Struct. 57, 151–156 (1995)

    Article  MATH  Google Scholar 

  8. Ariaei, A., Ziaei-Rad, S., Ghaypur, M.: Transverse vibration of a multiple-Timoshenko beam system with intermediate elastic connections due to a moving load. Arch. Appl. Mech. doi:10.1007/s00419-010-0410-2 (2010)

  9. Oniszczuk Z.: Free transverse vibrations of elastically connected simply supported double-beam complex system. J. Sound Vib. 232, 387–403 (2000)

    Article  Google Scholar 

  10. Zhang Q.Y., Lu Y., Wang L.S., Liu X.: Vibration and buckling of a double-beam system under compressive axial loading. J. Sound Vib. 318, 341–352 (2010)

    Article  Google Scholar 

  11. Mei M., Karpenko Y., Moody S., Allen D.: Analytical approach to free and forced vibrations of axially loaded cracked Timoshenko beams. J. Sound Vib. 291, 1041–1060 (2006)

    Article  Google Scholar 

  12. Li J., Hua H.: Spectral finite element analysis of elastically connected double-beam systems. Finite Elements Anal. Des. 43, 1155–1168 (2007)

    Article  MathSciNet  Google Scholar 

  13. Timoshenko S.P., Gere M.J.: Theory of Elastic Stability. McGraw-Hill Book Company, Inc., New York (1961)

    Google Scholar 

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Authors and Affiliations

  1. Department of Mechanical Engineering, University of Niš, A. Medvedeva 14, 18000, Niš, Serbia

    Vladimir Stojanović, Predrag Kozić, Ratko Pavlović & Goran Janevski

Authors
  1. Vladimir Stojanović
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  2. Predrag Kozić
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  3. Ratko Pavlović
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  4. Goran Janevski
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Correspondence to Predrag Kozić.

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Stojanović, V., Kozić, P., Pavlović, R. et al. Effect of rotary inertia and shear on vibration and buckling of a double beam system under compressive axial loading. Arch Appl Mech 81, 1993–2005 (2011). https://doi.org/10.1007/s00419-011-0532-1

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  • DOI: https://doi.org/10.1007/s00419-011-0532-1

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