|
| A free vibration model of carbon nanotube-reinforced functionally graded composite plates and scale effects |
| Received:October 28, 2016 Revised:December 15, 2016 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20161028004 |
| KeyWord:modified couple stress theory functionally graded materials free vibration scale effects carbon nanotubes |
| Author | Institution |
| 贺丹 |
沈阳航空航天大学 辽宁省飞行器复合材料结构分析与仿真重点实验室, 沈阳 |
| 门亮 |
沈阳航空航天大学 辽宁省飞行器复合材料结构分析与仿真重点实验室, 沈阳 |
|
| Hits: 1461 |
| Download times: 1109 |
| Abstract: |
| A free vibration model of orthotropic functionally graded carbon nanotubes-reinforced com-posite plates is developed based on a new modified couple stress theory.The present model can describe the scale effects with only one material length parameter incorporated.The equations of motion are derived based on the Hamilton's principle in conjunction with the first-order shear deformation theory.A simply supported square plate is taken as the illustrative example and analytical solved.The effects of plate thickness, volume fraction and distribution of carbon nanotubes on the natural frequencies of the plate are investigated.Numerical results indicate that the natural frequencies predicted by the present model are always higher than those by the Mindlin plate model of classical elasticity theory.The differences between the natural frequencies predicted by the two models are significant when the plate thickness approaches the material length parameter, but are diminishing with the increase of the plate thickness. |