胡志强

个人信息Personal Information

副教授

硕士生导师

性别:男

毕业院校:大连理工大学

学位:博士

所在单位:水利工程系

学科:水工结构工程

办公地点:大连理工大学建设工程学部综合试验4号楼401室

联系方式:办公电话:0411-84709552 Email: huzhq@dlut.edu.cn

电子邮箱:huzhq@dlut.edu.cn

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基于Hamilton体系的弹性力学问题的比例边界有限元方法

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发表时间:2022-10-10

发表刊物:计算力学学报

所属单位:建设工程学部

卷号:28

期号:4

页面范围:510-516

ISSN号:1007-4708

摘要: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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