| 扁锥壳的非线性动力行为 |
| |
| 引用本文： | 王新志,韩明君,赵艳影,丁雪兴.扁锥壳的非线性动力行为[J].兰州理工大学学报,2004,30(3):134-136. |
| |
| 作者姓名： | 王新志 韩明君 赵艳影 丁雪兴 |
| |
| 作者单位： | 兰州理工大学,理学院,甘肃,兰州,730050;兰州理工大学,理学院,甘肃,兰州,730050;兰州理工大学,理学院,甘肃,兰州,730050;兰州理工大学,理学院,甘肃,兰州,730050 |
| |
| 基金项目： | 甘肃省自然科学基金(ZS021 A25 007 Z) |
| |
| 摘 要： | 由扁锥壳的非线性动力学变分方程和协调方程,在夹紧固定的边界条件下,用Galerkin方法得到一个含二次项的非线性微分方程.为了讨论混沌运动,对一类非线性动力系统的自由振动方程进行了求解.对于扁锥壳的非线性动力自由振动方程,给出了准确解.继而求出Melnikov函数,给出了发生混沌的临界条件,通过数值仿真证实了混沌运动的存在.
|
| 关 键 词： | 扁锥壳 变分方程 非线性 混沌 准确解 |
| 文章编号： | 1000-5889(2004)03-0134-03 |
| 修稿时间： | 2003年9月23日 |
Nonlinear dynamical behavior of flat conical shell |
| |
| WANG Xin-zhi,HAN Ming-jun,ZHAO Yan-ying,DING Xue-xing.Nonlinear dynamical behavior of flat conical shell[J].Journal of Lanzhou University of Technology,2004,30(3):134-136. |
| |
| Authors: | WANG Xin-zhi HAN Ming-jun ZHAO Yan-ying DING Xue-xing |
| |
| Abstract: | A quadratic nonlinear differential equation is obtained by the method of from nonlinear dynamical variation equation and compatible equation of flat conical shell under the boundary conditions of clamped edges. A kind of free vibration equation of the nonlinear dynamical system is solved to study chaotic movement. The precise solution of free vibration equation of flat conical shall is presented. Correspondingly, function is obtained, and the critical condition of chaos is presented. The existence of chaotic movement is confirmed as well by the digital simulation. |
| |
| Keywords: | flat conical shell variation equation nonlinear chaos precise solution |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
