• ISSN 0258-2724
  • CN 51-1277/U
  • EI Compendex
  • Scopus
  • Indexed by Core Journals of China, Chinese S&T Journal Citation Reports
  • Chinese S&T Journal Citation Reports
  • Chinese Science Citation Database
Volume 28 Issue 3
Jun.  2015
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Article Contents
ZHANG Yingbin, YU Pengcheng, ZHAO Xingquan. Analytical Solutions of Earthquake Dynamic Responses of Trapezoid-Like Mountain[J]. Journal of Southwest Jiaotong University, 2015, 28(3): 435-441. doi: 10.3969/j.issn.0258-2724.2015.03.008
Citation: ZHANG Yingbin, YU Pengcheng, ZHAO Xingquan. Analytical Solutions of Earthquake Dynamic Responses of Trapezoid-Like Mountain[J]. Journal of Southwest Jiaotong University, 2015, 28(3): 435-441. doi: 10.3969/j.issn.0258-2724.2015.03.008

Analytical Solutions of Earthquake Dynamic Responses of Trapezoid-Like Mountain

doi: 10.3969/j.issn.0258-2724.2015.03.008
  • Received Date: 07 May 2014
  • Publish Date: 25 Jun 2015
  • In order to investigate the effect of earthquake loading on the dynamic responses of a mountain, a shear-beam model, an analytical method, for trapezoid-like mountains with two curved slopes was set up. The analytical solutions of the dynamic responses were obtained. A simplified empirical expression of the first order natural frequency of a trapezoid mountain was given. The maximum relative displacements, maximum relative velocities and maximum absolute accelerations of trapezoid and trapezoid-like mountains were calculated and compared with those obtained by FEM (finite element method). The research results show that the trapezoid model is easy to obtain the responses, but the trapezoid-like model is more accuracy. The analytical solutions are close to those obtained by FEM under the condition of a small moment. The first order natural frequency of a mountain increases slightly with the growth of Poisson's ratio. The maximum relative displacements and maximum relative velocities of a mountain become larger from its bottom to its top, while its maximum absolute accelerations reach the minimum at the height of its approximately 2/5 height.

     

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