Dynamic analysis of pre-stressed elastic plates resting on layered soils

被引：0
|
作者：
Liu C.-L. [1 ,2 ,3 ]
Ai Z.-Y. [2 ]
Tang M.-X. [1 ]
Hu H.-S. [1 ]
机构：
[1] Guangzhou Institute of Building Science Co., Ltd., Guangzhou
[2] Department of Geotechnical Engineering, Tongji University, Shanghai
[3] School of Civil Engineering and Transportation, South China University of Technology, Guangzhou
来源：
Ai, Zhi-Yong (zhiyongai@tongji.edu.cn) | 1600年 / Chinese Society of Civil Engineering卷 / 43期
关键词：
Analytical layer-element method; Classical elastic thin plate theory; Layered soil; Pre-stressed elastic plate; Vertical vibration;
D O I：
10.11779/CJGE202101020
中图分类号：
学科分类号：
摘要：
Based on the analytical layer-element method and classical the elastic thin plate theory, a method for solving the vertical dynamic interaction between the layered soils and the pre-stressed elastic plates is proposed. Starting from the fundamental solution of soils and the dynamic equation of elastic plates, a dynamic coupling equation for the soils and elastic plates in the transformation domain is obtained by means of the Hankel integral transformation and the compatibility condition at the soil-elastic plate interface. The displacement solution for the pre-stressed elastic plates in frequency domain is further obtained by solving the coupling equation and the numerical inverse transformation. By comparing with the results in the existing literatures, the accuracy of the proposed method and the program is verified. Finally, the influences of the stiffness ratio of the plates to the soils and the radial pre-stress of plate on the vertical dynamic displacement of pre-stressed elastic plates are discussed. © 2021, Editorial Office of Chinese Journal of Geotechnical Engineering. All right reserved.
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页码：174 / 180
页数：6
相关论文
共 21 条
  • [1] RAJAPAKSE R K N D., Dynamic response of elastic plates on viscoelastic half space, Journal of Engineering Mechanics, 115, 9, pp. 1867-1881, (1989)
  • [2] GUCUNSKI N, PEEK R., Vertical vibrations of circular flexible foundations on layered media, Soil Dynamics and Earthquake Engineering, 12, 3, pp. 183-192, (1993)
  • [3] JIN Bo, Using Fredholm integral equation of the second kind to solve the vertical vibration of elastic plate on an elastic half-space, Applied Mathematics and Mechanics, 19, 2, pp. 145-150, (1998)
  • [4] YU L, SHEN H S, HUO X P., Dynamic responses of Reissner-Mindlin plates with free edges resting on tensionless elastic foundations, Journal of Sound and Vibration, 299, 1, pp. 212-228, (2007)
  • [5] CHEN S S, HOU J G., Modal analysis of circular flexible foundations under vertical vibration, Soil Dynamics and Earthquake Engineering, 29, 5, pp. 898-908, (2009)
  • [6] ZHANG Jian-hui, Element-free method for two-parameter subgrade plates, Chinese Journal of Geotechnical Engineering, 27, 7, pp. 776-779, (2005)
  • [7] WANG Chun-Lin, ZHAO Lu-ke, LI Dong-bo, Analytical study on dynamic response of multi-layered plate in unsaturated half-space, Chinese Journal of Geotechnical Engineering, 41, 12, pp. 2182-2190, (2019)
  • [8] SUN Lu, DENG Xue-jun, General theory for stead dynamic problem of infinite plate on an elastic foundation, Acta Mechanica Sinica, 28, 6, pp. 756-760, (1996)
  • [9] KIM S M, ROESSET J M., Moving loads on a plate on elastic foundation, Journal of Engineering Mechanics, 124, 9, pp. 1010-1017, (1998)
  • [10] LU Zheng, YAO Hai-lin, YANG Yang, Dynamic response of an elastic slab resting on double-layered subgrade subjected to moving load, Chinese Journal of Rock Mechanics and Engineering, 27, S2, pp. 3312-3320, (2008)
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