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Response Analysis of Frame Supporting Structure of Slope under Harmonic Vibration

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  • Jian Duan
  • Zhi-xin Yan
  • Rui-jian Guo
  • Zhi-hua Ren

Abstract

Based on certain assumptions, the dynamic mechanical model for frame supporting structure of slope is established, the dynamic equilibrium governing equation for vertical beam under forced vibration is derived, and hence its analytical solutions to harmonic forced vibration are obtained. What is more, the finite difference format and corresponding calculation procedure for vertical beam under forced vibration are given and programmed by using MATLAB language. In the case studies, comparative analyses have been performed to the response of vertical beam under horizontal harmonic forced vibration by using different calculating methods and with anchoring system damping effect neglected or considered. As a result, the feasibility, correctness, and characteristics of different methods can be revealed and the horizontal forced vibration law of vertical beam can be unveiled as well.

Suggested Citation

  • Jian Duan & Zhi-xin Yan & Rui-jian Guo & Zhi-hua Ren, 2014. "Response Analysis of Frame Supporting Structure of Slope under Harmonic Vibration," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-13, January.
    • Handle: RePEc:hin:jnlmpe:603863
    DOI: 10.1155/2014/603863
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