| 屈曲粘弹性倾斜矩形板的非线性振动分岔 |
| |
| 引用本文： | 林志杰.屈曲粘弹性倾斜矩形板的非线性振动分岔[J].湖南文理学院学报(自然科学版),2001,13(2):26-28. |
| |
| 作者姓名： | 林志杰 |
| |
| 作者单位： | 常德师范学校!湖南常德415000 |
| |
| 摘 要： | 粘弹性矩形板在工程中经常发生各种振动 ,根据屈曲粘弹性倾斜矩形板的非线性动力方程 ,采用Melnikov法及Galerkin原理研究了其在铅垂周期扰力作用下的非线性振动分岔。并讨论分析了倾斜角、长宽比、板厚等因素对屈曲粘弹性矩形板发生混沌运动区域的影响 ,得到了倾斜角、板厚的增加会使混沌运动区域减小 ,长宽比的增大会使混沌运动区域变大的重要结论
|
| 关 键 词： | 屈曲 粘弹性 倾斜 振动分岔 混沌运动 区域 |
| 文章编号： | 1009-3818(2001)02-0026-03 |
| 修稿时间： | 2001年1月5日 |
THE NONLINEAR VIBRATION BIFURCATION OF THE BUCKLING VISCOELASTIC INCLINED RECTANGULAR PLATE |
| |
| LIN Zi-jie.THE NONLINEAR VIBRATION BIFURCATION OF THE BUCKLING VISCOELASTIC INCLINED RECTANGULAR PLATE[J].Journal of Hunan University of Arts and Science:Natural Science Edition,2001,13(2):26-28. |
| |
| Authors: | LIN Zi-jie |
| |
| Abstract: | In terms of nonlinear dynamic equation of the buckling viscoelastic inclined rectangular plate,the nonlinear vibration bifurcation of the rectangular plate with action of vertical periodic force was studied to overcome the vibrations of viscoelasticity plate by Melnikovs method and Garlerkin's principle.The effects of inclined angle,ratio of length and widtha and thickness of plate on the plate's chaotic motion area were discussed.The important conclutions,which the plate's chaotic motion area reduced with inclined angle,thickness of plate increasing,and plate's chaotic motion area rises with plate's ratio of length and width increasing were obtained. |
| |
| Keywords: | buckling viscoelasticity inclined vibration bifurcation chaotic motion area |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
