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| A new approach to solve plane viscoelastic problems in the symplectic space |
| Received:November 09, 2007 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20101003 |
| KeyWord:viscoelasticity Laplace transformation symplectic space separation of variables eigenfunction |
| Author | Institution |
| 姚伟岸 |
大连理工大学 工业装备结构分析国家重点实验室,大连 |
| 杨海天 |
大连理工大学 工业装备结构分析国家重点实验室,大连 |
| 高强 |
大连理工大学 工业装备结构分析国家重点实验室,大连 |
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| Abstract: |
| This paper presents a new approach solving the plane viscoelastic problem. The advantages of the symplectic solution are utilized to solve a quasi-elastic problem transformed from a viscoelastic one via the Laplace transformation. An inversion is carried out to convert solutions from elasticity to viscoelasticity. An analytical Saint Venant solution of the plane viscoelastic problem in a rectangular domain is given to illustrate the proposed approach. |