| 超临界平面耦合轴向运动梁的静平衡分岔 |
| |
| 引用本文： | 黄慧春,丁虎,陈立群.超临界平面耦合轴向运动梁的静平衡分岔[J].上海大学学报(自然科学版),2012,18(1):68-71. |
| |
| 作者姓名： | 黄慧春 丁虎 陈立群 |
| |
| 作者单位： | 1.上海第二工业大学 机电工程学院，上海 201209；2.上海大学 上海市应用数学和力学研究所，上海 200072；3.上海大学 理学院，上海 200444 |
| |
| 基金项目： | 国家自然科学基金资助项目(10902064);国家杰出青年科学基金资助项目(10725209);上海市重点学科建设资助项目(S30106);长江学者和创新团队发展计划基金资助项目(IRT0844);上海市青年科技启明星计划资助项目(11QA1402300);上海市教委科研创新资助项目(12YZ028) |
| |
| 摘 要： | 运用数值方法研究固定边界条件下，超临界速度范围内的轴向运动梁横向与径向耦合平面的静态平衡位形分岔行为，其中轴向运动梁的静态平衡位形包括直线形状的0解，以及随传输速度分岔得到的曲线形状的非平凡分岔解.在梁的两端固定的边界条件下，运用有限差分法对轴向运动梁平面耦合非线性方程以及对应于非线性平面耦合方程的静态平衡方程作数值解.以铜材料的梁为例，数值求解轴向运动梁耦合平面的静平衡非平凡解，并仿真分析了系统参数对非平凡分岔解的影响.
|
| 关 键 词： | 超临界 非线性 分岔 有限差分法 轴向运动梁 |
| 收稿时间： | 2010-07-15 |
Equilibria Bifurcation in Coupled Planar of High-Speed Axially Moving Beams |
| |
| HUANG Hui-chun,DING Hu,CHEN Li-qun.Equilibria Bifurcation in Coupled Planar of High-Speed Axially Moving Beams[J].Journal of Shanghai University(Natural Science),2012,18(1):68-71. |
| |
| Authors: | HUANG Hui-chun DING Hu CHEN Li-qun |
| |
| Institution: | 1. Mechanical and Electrical Engineering Faculty, Shanghai Second Polytechnic University, Shanghai 201209, China;2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;3. College of Sciences, Shanghai University, Shanghai 200444, China |
| |
| Abstract: | Equilibria of axially moving beams transversely and longitudinally coupled with the fixed boundary conditions are numerically studied in the supercritical transport speed ranges.In the supercritical regime,the pattern of equilibria consists of the straight configuration and of non-trivial solutions that bifurcate with transport speed.The numerical schemes are presented for the governing equation of coupled planar and the corresponding static equilibrium equation for non-trivial equilibrium solutions via the finite difference method under the fixed boundary conditions.A copper beam is treated as example to demonstrate the non-trivial equilibrium solutions.Numerical results indicate that the equilibrium of the coupled planar with the changing parameters. |
| |
| Keywords: | axially moving beam nonlinearity supercritical bifurcation finite difference method |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《上海大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《上海大学学报(自然科学版)》下载免费的PDF全文 |
