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| Large deflection axisymmetric bending of bi-modulous circular plate with energy method |
| Received:August 02, 2009 Revised:September 08, 2010 |
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| DOI：10.7511/jslx201102022 |
| KeyWord:bi-modulous large deflection circular plate axisymmetric bending |
| Author | Institution |
| 吴晓 |
湖南文理学院,常德 |
| 杨立军 |
湖南文理学院,常德 |
| 黄翀 |
湖南文理学院,常德 |
| 孙晋 |
湖南文理学院,常德 |
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| Abstract: |
| Bi-modulous circular plate could form isotropic compression and tensile area under external loads as axisymmetric bending. Then the bi-modulous circular plate was regarded as laminated plate composited of two kinds of is otropic material. Static equilibrium equation of bi-modulous circular plate under external loads was established by using elastic theory. The location of neutral plane in bi-modulous circular plate was determined by the utilization of static equilibrium equation. It was studied with energy method that the large deflection axisymmetric bending of bi-modulous circular plate. And the calculation results were compared with that obtained by finite element method, and it shows that the method above is reliable. Numerical examples show that the deflection calculation of circular plate which has larger difference between tensile elastic modulus and compressive elastic modulus may as well not apply classical elastic theory with the same elastic modulus, and should use bi-modulous thin plate theory. |