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| Study on analytic construction solutions about solving elasticity plane problems by displacement method |
| Received:July 22, 2014 Revised:August 23, 2014 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx201503018 |
| KeyWord:plane problems about elasticity displacement method analytical solution unknown parame-ters boundary condition |
| Author | Institution |
| 侯祥林 |
沈阳建筑大学 机械工程学院, 沈阳 |
| 李琦 |
沈阳建筑大学 机械工程学院, 沈阳 |
| 郑夕健 |
沈阳建筑大学 机械工程学院, 沈阳 |
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| Abstract: |
| As to solving partial differential equations about elasticity plane problems by displacement method,a multi-exponential function method is introduced.Analytical displacement function expression with the exponential function,trigonometric and linear function and unknown parameters is proposed.Displacement function analytic expression with symmetric displacement boundary is derivated.Nonlinear algebraic equations between arbitrary boundary conditions and unknown parameters is established and number relation is decided.Precision determining method about displacement analytic function is built.Practical example with symmetrical displacement is analyzed.The result canbe used to solve theoretical and practical problem. |