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| Analytical solutions for bending, vibration and stability of multilayer orthotropic rectangular thin plates |
| Received:July 15, 2020 Revised:September 15, 2020 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20200715002 |
| KeyWord:orthotropic laminated plate bending vibration buckling analytical solution rectangular thin plate |
| Author | Institution |
| 曹彩芹 |
西安建筑科技大学 理学院, 西安 |
| 宋永超 |
西安建筑科技大学 理学院, 西安 |
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| Abstract: |
| A general solution of double sine Fourier series with supplementary terms is constructed to solve the bending, vibration and buckling problems of multi-layer orthotropic rectangular thin plates with various boundary conditions.First, the stress expressed in tems of deflection at the coordinate axis on the neutral plane is found, then the internal force of the plate on cross section is obtained;then the physical parameters of the multi-layer plate are coverted into the equivalent physical parameters of the single-layer plate;finally, the control equations and boundary conditions are combined to obtain the coefficients of the unknown quantity and bring them into the general solution.The general solution in this paper can solve the bending, vibration and buckling problems of various boundary conditions without superposition;the existing research on single-layer plates can be extended to the field of multi-layer plates by this method;plates with complex boundary conditions can also be analyzed using this general solution. |