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| Three dimension harmony elementmethod for time and space domain |
| Received:March 11, 2012 Revised:May 11, 2012 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx201303003 |
| KeyWord:analytical structural mechanics time-space harmony element hyperbolic partial differential equation |
| Author | Institution |
| 朱宝 |
大连理工大学工业装备结构分析国家重点实验室, 运载工程与力学学部工程力学系, 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, 运载工程与力学学部工程力学系, 大连 |
| 钟万勰 |
大连理工大学工业装备结构分析国家重点实验室, 运载工程与力学学部工程力学系, 大连 |
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| Abstract: |
| The mathematical theory is the same for analytical dynamic mechanics and analytical structural mechanics.Time and space domain are discrete at the same time for the finite element analysis.Based on the Hamilton variational principle and the variation calculation,the three dimension harmony element method format is given.The matrices of the harmony element method are symmetry,so the harmony element method is symplectic.Numerical results demonstrate the validity of this method for multiscale problems and problems with variable boundary. |