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Vertical vibration of a massless flexible strip footing bonded to a transversely isotropic multilayered half-plane
AbstractA rigorous analytical method is developed to analyze the vertical vibration of a massless flexible strip footing bonded to a transversely isotropic multilayered half-plane. The analytical layer-element solution for a transversely isotropic multilayered half-plane in the Fourier transform domain is first introduced for the later derivation. A pair of dual integral equations of contact stress and deflection is derived by virtue of the preceding solution and the mixed boundary conditions. By means of the classic plate theory and Jacobi orthogonal polynomials, the dual integral equations are further converted to a system of linear equations. Comparisons with existed solutions confirm the accuracy of the proposed method. More examples are given to illustrate the influence of relative rigidity ratio, transversely isotropy, double-layered characters and stratification on the vertical impedance and the contact stress.
HighlightsVertical vibration of a massless flexible strip on a transversely isotropic layered half-plane is analyzed.A pair of dual integral equations of contact stress and deflection is derived in the transform domain.The dual integral equations are converted to a system of linear equations and further solved.The influence of relative rigidity ratio, material anisotropy and stratification is investigated.
Vertical vibration of a massless flexible strip footing bonded to a transversely isotropic multilayered half-plane
AbstractA rigorous analytical method is developed to analyze the vertical vibration of a massless flexible strip footing bonded to a transversely isotropic multilayered half-plane. The analytical layer-element solution for a transversely isotropic multilayered half-plane in the Fourier transform domain is first introduced for the later derivation. A pair of dual integral equations of contact stress and deflection is derived by virtue of the preceding solution and the mixed boundary conditions. By means of the classic plate theory and Jacobi orthogonal polynomials, the dual integral equations are further converted to a system of linear equations. Comparisons with existed solutions confirm the accuracy of the proposed method. More examples are given to illustrate the influence of relative rigidity ratio, transversely isotropy, double-layered characters and stratification on the vertical impedance and the contact stress.
HighlightsVertical vibration of a massless flexible strip on a transversely isotropic layered half-plane is analyzed.A pair of dual integral equations of contact stress and deflection is derived in the transform domain.The dual integral equations are converted to a system of linear equations and further solved.The influence of relative rigidity ratio, material anisotropy and stratification is investigated.
Vertical vibration of a massless flexible strip footing bonded to a transversely isotropic multilayered half-plane
Ai, Zhi Yong (author) / Li, Hai Tao (author) / Zhang, Yi Fan (author)
Soil Dynamics and Earthquake Engineering ; 92 ; 528-536
2016-10-17
9 pages
Article (Journal)
Electronic Resource
English
| British Library Online Contents | 2017
| British Library Online Contents | 2017
| British Library Online Contents | 2017
| British Library Online Contents | 2017