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Finite difference method for dynamic response analysis of anchorage system

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Abstract

Based on some assumptions, the dynamic analysis model of anchorage system is established. The dynamic governing equation is expressed as finite difference format and programmed by using MATLAB language. Compared with theoretical method, the finite difference method has been verified to be feasible by a case study. It is found that under seismic loading, the dynamic response of anchorage system is synchronously fluctuated with the seismic vibration. The change of displacement amplitude of material points is slight, and comparatively speaking, the displacement amplitude of the outside point is a little larger than that of the inside point, which shows amplification effect of surface. While the axial force amplitude transforms considerably from the inside to the outside. It increases first and reaches the peak value in the intersection between the anchoring section and free section, then decreases slowly in the free section. When considering damping effect of anchorage system, the finite difference method can reflect the time attenuation characteristic better, and the calculating result would be safer and more reasonable than the dynamic steady-state theoretical method. What is more, the finite difference method can be applied to the dynamic response analysis of harmonic and seismic random vibration for all kinds of anchor, and hence has a broad application prospect.

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Authors and Affiliations

  1. School of Civil Engineering and Mechanics, Lanzhou University, Lanzhou, 730000, China

    Zhi-xin Yan  (言志信), Jian Duan  (段建), Ping Jiang  (江平), Zi-zhen Liu  (刘子振), Hong-liang Zhao  (赵红亮) & Wen-gui Huang  (黄文贵)

  2. Key Laboratory of Mechanics on Disaster and Environment in Western China of Ministry of Education of China (Lanzhou University), Lanzhou, 730000, China

    Zhi-xin Yan  (言志信), Jian Duan  (段建), Ping Jiang  (江平), Zi-zhen Liu  (刘子振), Hong-liang Zhao  (赵红亮) & Wen-gui Huang  (黄文贵)

  3. School of Civil Engineering and Architecture, Taizhou University, Taizhou, 318000, China

    Zi-zhen Liu  (刘子振)

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  1. Zhi-xin Yan  (言志信)
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  2. Jian Duan  (段建)
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  3. Ping Jiang  (江平)
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  4. Zi-zhen Liu  (刘子振)
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  5. Hong-liang Zhao  (赵红亮)
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  6. Wen-gui Huang  (黄文贵)
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Corresponding author

Correspondence to Jian Duan  (段建).

Additional information

Foundation item: Projects(51308273, 41372307, 41272326) supported by the National Natural Science Foundation of China; Projects(2010(A)06-b) supported by Science and Technology Fund of Yunan Provincial Communication Department, China

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Yan, Zx., Duan, J., Jiang, P. et al. Finite difference method for dynamic response analysis of anchorage system. J. Cent. South Univ. 21, 1098–1106 (2014). https://doi.org/10.1007/s11771-014-2042-0

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  • DOI: https://doi.org/10.1007/s11771-014-2042-0

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