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| Symplectic analysis for two dimensional nonlocal linear elastic plane problems |
| Received:August 08, 2008 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20093020 |
| KeyWord:SMA damper OpenSees cable-stayed bridge seismic residual deformation |
| Author | Institution |
| 姚征 |
大连海事大学 交通与物流工程学院,大连 |
| 郑长良 |
大连海事大学 交通与物流工程学院,大连 |
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| Abstract: |
| The two dimensional nonlocal linear elastic theory is derived to the Hamilton system, the corresponding dual equilibrium equations and boundary conditions are presented from the variational principle. After the validity of the dual equations is confirmed; this methodology is applied in solving the 2D linear elastic plane-wave problems. The symplectic algorithm, consists of precise integration method and external Wittrick-Williams algorithm, for solving the plane Rayleigh waves is presented under the Hamilton system. The symplectic conservation characteristic insures the accuracy of the nonlocal symplectic theory and corresponding algorithm. The analysis and comparison between nonlocal theory and classical local theory are given out based on different numerical examples. The advantages and applicability of the nonlocal symplectic methodology are also presented. |
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