Dynamic Response Analysis of Viscoelastic Multilayered Foundation in the Cartesian Coordinate System

KOU Lei; XU Jianguo; WANG Bo

doi:10.21656/1000-0887.380155

Volume 39 Issue 5

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KOU Lei, XU Jianguo, WANG Bo. Dynamic Response Analysis of Viscoelastic Multilayered Foundation in the Cartesian Coordinate System[J]. Applied Mathematics and Mechanics, 2018, 39(5): 529-537. doi: 10.21656/1000-0887.380155

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Dynamic Response Analysis of Viscoelastic Multilayered Foundation in the Cartesian Coordinate System

doi: 10.21656/1000-0887.380155

School of Water Conservancy & Environment Engineering, Zhengzhou University, Zhengzhou 450002, P.R.China

Funds: The National Natural Science Foundation of China(51708512; 51579226)

Received Date: 2017-05-26
Rev Recd Date: 2017-07-30
Publish Date: 2018-05-15

Abstract

Abstract

Based on the governing viscoelastic equations in the Cartesian coordinate system, the analytical element stiffness matrices in the integral transform domain of 3D problems of viscoelastic foundation under axisymmetric and non-axisymmetric dynamic loads were derived with the Fourier-Laplace transform, the decoupling transformation, the differential equations theory and the matrix theory. The global stiffness matrix was assembled in view of the boundary conditions and the continuity between adjacent layers, the solution in the integral transform domain was obtained from the algebraic equations involving the global stiffness matrix, and the solution in the physical domain was acquired through the inverse Fourier-Laplace transform. Through a corresponding computer program, comparison of the dynamic responses of viscoelastic multilayered foundation between the proposed algorithm and the existing method proves the validity of the former.
- Cartesian coordinate system,
- axisymmetric dynamic loading,
- viscoelastic layered foundation,
- analytical stiffness matrix,
- dynamic response

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References(16)

References

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