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| A Hamiltonian-based derivation of scaled boundary finite element method for elasticity |
| Received:July 13, 2009 Revised:November 12, 2009 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx201104004 |
| KeyWord:Hamilton system scaled boundary finite element mechanics of elasticity boundary stiffness matrix |
| Author | Institution |
| 胡志强 |
大连理工大学 建设工程学部水利工程学院,大连 |
| 林皋 |
大连理工大学 建设工程学部水利工程学院,大连 |
| 王毅 |
大连理工大学 建设工程学部水利工程学院,大连 |
| 刘俊 |
大连理工大学 建设工程学部水利工程学院,大连 |
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| 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. |