Abstract
本文从三维弹性力学方程出发,抛弃任何有关位移或应力分布的假设,导出正交异性体弹性力学问题的状态方程。给出四边简支任意厚宽比的矩形板在任意荷载作用下的控制方程及其精确解。有关数值结果同Reissner理论、Ambartsumyan理论等得出的相应量进行了比较,并评述了Ambartsumyan等理论的不足之处。
In this paper, we give up any assumptions about the distribution of stress and displacement. A state equation for orthotropic body is deduced from three-dimensional elasticity equations. The governing equations as well as their exact solutions are constructed for a simply supported rectangular orthotropic plate with arbitrary thickness subjected to arbitrary Loads. Some numerical results are compared with those of Reissner’s, Ambartsumyan’s plate theory, and the remarks upon the demerits of Ambartsumyan’s theory are also given.
In this paper, we give up any assumptions about the distribution of stress and displacement. A state equation for orthotropic body is deduced from three-dimensional elasticity equations. The governing equations as well as their exact solutions are constructed for a simply supported rectangular orthotropic plate with arbitrary thickness subjected to arbitrary Loads. Some numerical results are compared with those of Reissner’s, Ambartsumyan’s plate theory, and the remarks upon the demerits of Ambartsumyan’s theory are also given.
| Translated title of the contribution | The exact solutions of an orthotropic thick plate subjected to arbitrary loads |
|---|---|
| Original language | Chinese |
| Pages (from-to) | 14-24 |
| Number of pages | 11 |
| Journal | Shanghai Lixue |
| Volume | 10 |
| Issue number | 1 |
| Publication status | Published - 1989 |
Keywords
- Exact solution
- 3D Elasticity
- State space equation
- Rectangular plate
- Stress distribution
- Convergence of series
- Initial function method