Rock and Soil Mechanics ›› 2022, Vol. 43 ›› Issue (6): 1434-1440.doi: 10.16285/j.rsm.2021.1512

• Fundamental Theroy and Experimental Research • Previous Articles     Next Articles

Vertical vibration response of rigid strip footings on a viscoelastic soil layer overlying bedrock

ZHENG Chang-jie1, 2, HE Yu-ze1, 2, DING Xuan-ming3, LUAN Lu-bao4, CHEN Ye-wei5   

  1. 1. School of Civil Engineering, Fujian University of Technology, Fuzhou, Fujian 350118, China; 2. Fujian Provincial Key Laboratory of Advanced Technology and Informatization in Civil Engineering, Fujian University of Technology, Fuzhou, Fujian 350118, China; 3. Key Laboratory of New Technology for Construction of Cities in Mountain Area of Ministry of Education, Chongqing University, Chongqing 400045, China; 4. College of Engineering, Ocean University of China, Qingdao, Shandong 266100, China; 5. Construction & Development Co., Ltd. of China Construction Fourth Bureau, Xiamen, Fujian 361000, China
  • Received:2021-09-06 Revised:2022-03-02 Online:2022-06-21 Published:2022-06-29
  • Supported by:
    This work was supported by the Open Fund of Key Laboratory of New Technology for Construction of Cities in Mountain Area of Ministry of Education (LNTCCMA-20220108) and the National Natural Science Foundation of China (52178318, 52008059).

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Abstract: Considering the influence of soil thickness, the vertical vibration response of rigid strip footings on viscoelastic soil is theoretically investigated. Based on the assumptions for footing and foundation with rigid bedrock boundary condition, employing the method of Fourier transform, this mixed-boundary value problem is expressed as a pair of dual integral equations, which are transformed to a set of linear equations by means of Jacobi orthogonal polynomials and solved numerically. The solution in this study is compared with the solution of elastic half-space in the literature to verify its rationality. The results demonstrate that the attenuation of ground waves generated by the vibration of the footing, as well as the variation in dynamic compliance coefficient of the foundation, is sensitive to the thickness of the foundation soil layer. The numerical results suggest that considering the foundation soil as infinite half-space, as in existing solutions, is reasonable only in cases where the thickness of the top soil layer exceeds approximately fifty times the width of the footing.

Key words: strip footing, dynamic response, vertical vibration, soil-structure interaction

CLC Number: 

  • TU470
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