|
|||||
|
|
| 用微分求积法分析轴向移动粘弹性梁的非平面非线性振动 | |
| 引用本文： | 王冬梅,张伟,李慕荣. 用微分求积法分析轴向移动粘弹性梁的非平面非线性振动[J]. 动力学与控制学报, 2015, 13(1): 23-27 |
| 作者姓名： | 王冬梅 张伟 李慕荣 |
| 作者单位： | 1. 北京工业大学机电学院，北京 100124; 济宁学院数学系，曲阜 273155 2. 北京工业大学机电学院,北京,100124 3. 济宁金桥煤矿,济宁,272200 |
| 基金项目： | 国家自然科学基金资助项目(11290152,11072008,10732020)和北京市属市管高等学校人才强教计划资助项目 |
| 摘 要： | 用微分求积法分析了轴向移动粘弹性梁非平面非线性振动的动力学行为.轴向移动粘弹性梁非平面非线性振动的数学模型是一非常复杂的非线性偏微分方程组.首先用微分求积法对其控制方程组进行空间离散,得到非线性常微分方程组,然后求解常微分方程组得到数值结果.在数值结果的基础上结合非线性动力学理论,利用分叉图、时间历程图、相图对其非线性动力学特性进行了分析. |
| 关 键 词： | 微分求积法 轴向移动粘弹性梁 非平面振动 混沌 分叉 |
Using dqm to analyze the nonplanar nonlinear vibrationa of an axially moving viscoelastic beam |
|
| Wang Dongmei,Zhang Wei and Li Murong. Using dqm to analyze the nonplanar nonlinear vibrationa of an axially moving viscoelastic beam[J]. Journal of Dynamics and Control, 2015, 13(1): 23-27 | |
| Authors: | Wang Dongmei Zhang Wei Li Murong |
| Abstract: | This paper used the differential quadrature method (DQM) to investigate the dynamic behaviors for the nonplanar nonlinear vibrations of an axially moving viscoelastic beam. The mathematical model of the non-planar nonlinear vibration of the axially moving viscoelastic beam is a very complex nonlinear partial differential equations. Firstly, the nonlinear governing equations of nonplanar motion for the axially moving viscoelastic beam are solved by using the DQM for the first time. Then, based on the numerical results, the bifurcation diagrams, phase portraits and time history diagrams are used to analyze the complex nonlinear dynamic behaviors of the axially moving viscoelastic beam. |
| Keywords: | differential quadrature method axially moving viscoelastic beam nonplanar motion chaos bifurcation |
| 本文献已被 CNKI 万方数据 等数据库收录！ | |
| 点击此处可从《动力学与控制学报》浏览原始摘要信息 | |
| 点击此处可从《动力学与控制学报》下载全文 | |