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Axisymmetric vibration of an elastic circular plate bonded on a transversely isotropic multilayered half-space
Abstract Based on the analytical layer-element method, an analytical solution is proposed to determine the dynamic interaction between the elastic circular plate and transversely isotropic multilayered half-space. The dynamic response of the elastic circular plate is governed by the classical thin-plate theory with the assumption that the contact surface between the plate and soil is frictionless. The total stiffness matrix of the transversely isotropic multilayered half-space is acquired by assembling the analytical layer-element of each soil layer with the aid of the continuity conditions between adjacent layers. According to the displacement condition of coordination between the plate and soil, the dynamic interaction problem is reduced to that of multilayered transversely isotropic half-space subjected to axisymmetric harmonic vertical loading. Some numerical examples are given to study the vertical vibration of the plate, and the results indicate that the dynamic response of elastic circular plate depends strongly on the material properties of the soils, the rigidity of the plate, the frequency of excitation and the external load form.
Highlights Analytical layer-element method is used to solve transversely isotropic medium. Dynamic interaction solution is deduced based on displacement coordination condition. Dynamic response of the plate depends strongly on the soil property, the plate stiffness, the frequency of excitation, and the external load form.
Axisymmetric vibration of an elastic circular plate bonded on a transversely isotropic multilayered half-space
Abstract Based on the analytical layer-element method, an analytical solution is proposed to determine the dynamic interaction between the elastic circular plate and transversely isotropic multilayered half-space. The dynamic response of the elastic circular plate is governed by the classical thin-plate theory with the assumption that the contact surface between the plate and soil is frictionless. The total stiffness matrix of the transversely isotropic multilayered half-space is acquired by assembling the analytical layer-element of each soil layer with the aid of the continuity conditions between adjacent layers. According to the displacement condition of coordination between the plate and soil, the dynamic interaction problem is reduced to that of multilayered transversely isotropic half-space subjected to axisymmetric harmonic vertical loading. Some numerical examples are given to study the vertical vibration of the plate, and the results indicate that the dynamic response of elastic circular plate depends strongly on the material properties of the soils, the rigidity of the plate, the frequency of excitation and the external load form.
Highlights Analytical layer-element method is used to solve transversely isotropic medium. Dynamic interaction solution is deduced based on displacement coordination condition. Dynamic response of the plate depends strongly on the soil property, the plate stiffness, the frequency of excitation, and the external load form.
Axisymmetric vibration of an elastic circular plate bonded on a transversely isotropic multilayered half-space
Ai, Zhi Yong (author) / Liu, Chun Lin (author)
Soil Dynamics and Earthquake Engineering ; 67 ; 257-263
2014-09-20
7 pages
Article (Journal)
Electronic Resource
English
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