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Nonlinear vibration analysis of tapered Timoshenko beams

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  • Liao, Minmao
  • Zhong, Hongzhi

Abstract

The nonlinear flexural vibration analysis of tapered Timoshenko beams is conducted. The equations of motion for tapered Timoshenko beams are established in which the effects of nonlinear transverse deformation, nonlinear curvature as well as nonlinear axial deformation are taken into account. The nonlinear fundamental frequencies of tapered Timoshenko beams with two simply supported or clamped ends are presented.

Suggested Citation

  • Liao, Minmao & Zhong, Hongzhi, 2008. "Nonlinear vibration analysis of tapered Timoshenko beams," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1267-1272.
    • Handle: RePEc:eee:chsofr:v:36:y:2008:i:5:p:1267-1272
    DOI: 10.1016/j.chaos.2006.07.055
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