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| Vibration problem of theory of elasticity in Hamilton system under initial stress |
| Received:August 27, 2008 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20104025 |
| KeyWord:vibration critical load natural frequency precise integration method Hamilton |
| Author | Institution |
| 李俊永 |
大连理工大学 工程力学系 工业装备结构分析国家重点试验室,大连 |
| 吕和祥 |
大连理工大学 工程力学系 工业装备结构分析国家重点试验室,大连 |
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| Abstract: |
| In this paper, by considering the nonlinear term in Hellinger-Reissner variational principle, the vibration formulation with initial stress in Hamilton system was derived. As examples, frequencies with initial stress of a beam, composite beam, plate and composite plate were studied in precise integration method. The results were the exact solutions based on the exact elasticity theory (not considering any geometrical hypothesis). This paper provides a standard for both thin plates and moderately thick plates theory considering the effect of shear deformation. |
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