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
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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