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| Boundary integration method of bending of thick rectangular plate with the corner paint hang in the air |
| Received:December 06, 2007 |
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| DOI：10.7511/jslx20095018 |
| KeyWord:Reissner`s theory of thick plates boundary integration method corner paint hang in the air closed analytical solution figures and tables |
| Author | Institution |
| 陈英杰 |
燕山大学 建筑工程与力学学院,秦皇岛 |
| 付宝连 |
燕山大学 建筑工程与力学学院,秦皇岛 |
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| Abstract: |
| Introducing basic system rectangular plate, and applying reciprocal theorem of works between the actual system and the basic system, it obtain a deflection equation integral expression. Carried on the simple integral to the expression,it can obtain the deflection equation, it is easier than to solve Reissner`s deflection governing equation. Boundary integration method solution process concept is clear, the computation beginning has then given the deflection equation overall expression. This article take the Reissner`s theory of thick plates as a foundation, the closed analytical solution of bending of thick rectangular plate with two border edges fixed two border edges free corner paint hang in the air under a concentrated load is found by use of boundary integration method, and the corresponding numerical date, figures and tables are provided for the engineering applications. For any complex boundary conditions. including corner paint hang in the air of the complex boundary conditions the closed analytical solution of bending of thick rectangular plate can be given. |
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