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Date of Publication:2022-10-10

Journal:计算力学学报

Affiliation of Author(s):建设工程学部

Volume:28

Issue:4

Page Number:510-516

ISSN No.:1007-4708

Abstract:The scaled boundary finite element method (SBFEM)is a semi-analytical
   and semi-numerical solution approach for solving partial differential
   equation.For problem in elasticity,the governing equations can be
   obtained by mechanically based formulation,Weighted residual formulation
   and principle of virtual work based on
   Scaled-boundary-transformation.These formulations are described in the
   frame of Lagrange system and the unknowns are displacements.In this
   paper,the discretization of the SBFEM and the dual system to solve
   elastic problem proposed by W.X.Zhong are combined to derive the
   governing equations in the frame of Hamilton system by introducing the
   dual variables.Then the algebraic Riccati equations of the static
   boundary stiffness matrix for the bounded and unbounded domain are
   derived based on the hybrid energy and Hamilton variational principle in
   the interval.The eigen-vector method and precise integration method can
   be employed to solve the algebraic Riccati equations for static boundary
   stiffness matrice.

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