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刘春林, 艾智勇, 唐孟雄, 胡贺松. 层状地基上预应力弹性板的竖向振动特性研究[J]. 岩土工程学报, 2021, 43(1): 174-180. DOI: 10.11779/CJGE202101020
引用本文: 刘春林, 艾智勇, 唐孟雄, 胡贺松. 层状地基上预应力弹性板的竖向振动特性研究[J]. 岩土工程学报, 2021, 43(1): 174-180. DOI: 10.11779/CJGE202101020
LIU Chun-lin, AI Zhi-yong, TANG Meng-xiong, HU He-song. Dynamic analysis of pre-stressed elastic plates resting on layered soils[J]. Chinese Journal of Geotechnical Engineering, 2021, 43(1): 174-180. DOI: 10.11779/CJGE202101020
Citation: LIU Chun-lin, AI Zhi-yong, TANG Meng-xiong, HU He-song. Dynamic analysis of pre-stressed elastic plates resting on layered soils[J]. Chinese Journal of Geotechnical Engineering, 2021, 43(1): 174-180. DOI: 10.11779/CJGE202101020

层状地基上预应力弹性板的竖向振动特性研究

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

  • 摘要: 基于解析层元法和经典弹性薄板理论,提出了一种求解层状地基与预应力弹性板竖向动力相互作用的计算方法。从地基的基本解和弹性薄板动力方程出发,借助Hankel积分变换,并结合地基与弹性板在接触面上的相容条件,得到变换域内地基与弹性板的动力耦合方程。通过求解耦合方程和数值逆变换,得到频域内预应力弹性板的位移解。与已有文献的结果进行对比,验证提出方法及计算程序的正确性及有效性。最后,通过算例分析,探讨了板-土刚度比和板径向预应力对预应力弹性板竖向动位移的影响。

     

    Abstract: 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.

     

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