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| Bending solution for equivalent system of variable thickness plate by the generalized integral transform technique |
| Received:November 16, 2020 Revised:January 05, 2021 |
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| DOI：10.7511/jslx20201116003 |
| KeyWord:variable thickness plate generalized integral transform technique uniform load linear load |
| Author | Institution |
| 付光明 |
中国石油大学华东 石油工程学院, 青岛 ;中国石油大学华东, 山东省油气储运安全重点实验室, 青岛 |
| 庹宇航 |
中国石油大学华东 石油工程学院, 青岛 |
| 李明亮 |
中国石油大学华东 石油工程学院, 青岛 |
| 彭玉丹 |
中国石油大学华东 石油工程学院, 青岛 |
| 孙宝江 |
中国石油大学华东 石油工程学院, 青岛 |
| 张健 |
中国石油技术开发有限公司, 北京 |
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| Abstract: |
| For the bending problem of thin plates with uniform thickness,some classical numerical solutions based on various numerical techniques have been developed by researchers.However,the bending problem solutions of plates with variable thickness have been rarely reported,and most of them were based on finite element calculation,which consumes a lot of CPU time.In the present work,the authors developed a hybrid numerical and analytical mothed based on the Generalized Integral Transform Technique (GITT) to solve the bending problem of plates with variable thickness of linear and quadratic variations.The calculated results were calibrated by the results which were reported in the literatures.Finally,the effects of boundary constraints and aspect ratio on the deflection at the center point is discussed by using the GITT method and finite element numerical simulation method,respectively and the results are in good agreement.It can be proven that the generalized integral transformation method established in this paper can be used to solve the bending problem of variable thickness plate with good accuracy. |
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