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Indexed by:期刊论文

Date of Publication:2022-06-30

Journal:力学学报

Affiliation of Author(s):建设工程学部

Volume:44

Issue:6

Page Number:1016-1027

ISSN No.:0459-1879

Abstract:An approach based on integral transformation, dual form of wave motion
   equation and precise integration method is proposed for the solution of
   the dynamic stiffness matrices of rigid foundation of arbitrary shape on
   multi-layered half-space. Firstly, to take advantage of the axisymmetric
   property of the load-displacement field of subdisk-element in
   cylindrical coordinates, the equation of Green's influence function for
   multi-layered half-space is formulated. Then the dual form of the
   uncoupled wave motion equation in the frequency-wave number domain for
   in-plane motion and out-of-plane motion is established. It can be solved
   quite accurately by the precise integration method. Finally, the contact
   interface between the rigid foundation and the multi-layered half-space
   is discretized into a number of subdisk-elements, and the
   matrix-equation of translational and rotational dynamic stiffnesses of
   the foundation is evaluated. The proposed method is efficient, accurate
   and computationally stable. It is well suited to the dynamic interaction
   analysis of rigid foundation of arbitrary shape on complex multi-layered
   half-space. Numerical examples clearly demonstrate the superiority of
   the proposed approach.

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