| 轴向变速运动黏弹性梁稳定性渐近分析和数值验证 |
| |
| 引用本文： | 王波,陈立群.轴向变速运动黏弹性梁稳定性渐近分析和数值验证[J].固体力学学报,2009,30(2). |
| |
| 作者姓名： | 王波 陈立群 |
| |
| 作者单位： | 1. 上海大学上海市应用数学和力学研究所,上海,200072
2. 上海大学上海市应用数学和力学研究所,上海,200072;上海大学力学系,上海,200072 |
| |
| 基金项目： | 国家杰出青年科学基金，国家自然科学基金，海市教育委员会科研项目，上海市重点学科建设项目 |
| |
| 摘 要： | 研究了轴向变速运动黏弹性梁参数振动的稳定性.对黏弹性本构关系采用物质时间导数,轴向速度用关于恒定平均速度的简单谐波变化来描述.发展浙近摄动法确定稳定性条件.应用微分求积法数值求解简支边界条件下的轴向变速运动黏弹性梁方程,并进而确定次谐波参数共振的稳定性边界.数值结果显示了梁的黏性阻尼和轴向平均速度的影响并验证了次谐波共振的解析结果.
|
| 关 键 词： | 轴向变速运动梁 黏弹性 参数共振 渐近摄动 稳定性 微分求积 |
ASYMPTOTIC ANALYSIS ON STABILITY OF AXIALLY ACCELERATING VISCOELASTIC BEAMS WITH NUMERICAL VERIFICATION |
| |
| Bo Wang,Liqun Chen.ASYMPTOTIC ANALYSIS ON STABILITY OF AXIALLY ACCELERATING VISCOELASTIC BEAMS WITH NUMERICAL VERIFICATION[J].Acta Mechnica Solida Sinica,2009,30(2). |
| |
| Authors: | Bo Wang Liqun Chen |
| |
| Institution: | 1Shanghai institute of Applied Mathematics and Mechanics;Shanghai University;Shanghai;200072;2Department of Mechanics;200072 |
| |
| Abstract: | Stability of an axially accelerating viscoelastic beam is investigated.The material time deri-vative is used in the viscoelastic constitutive relation.The axial speed is characterized as a simple harmonic variation about the constant mean speed.The stability condition can be determined via the asymptotic perturbation method.The differential quadrature scheme is developed to solve numerically the equation of axially accelerating viscoelastic beams with simple supports.The stability boundaries are numerically... |
| |
| Keywords: | axially accelerating beam viscoelasticity parametric resonance asymptotic perturbation stability differential quadrature |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
