| 超临界轴向运动梁横向非线性振动频域分析 |
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| 引用本文： | 丁虎,张国策,陈立群.超临界轴向运动梁横向非线性振动频域分析[J].固体力学学报,2011,32(4):360-364. |
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| 作者姓名： | 丁虎 张国策 陈立群 |
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| 作者单位： | 1. 上海大学，上海市应用数学与力学研究所，Shanghai University，Shanghai Institute of Applied Mathematics and Mechanics2. 上海大学,上海市应用数学和力学研究所3. 上海大学理学院力学系 |
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| 基金项目： | 国家自然科学基金项目(10902064); 国家杰出青年科学基金项目(10725209); 上海高校选拔培养优秀青年教师科研专项基金项目(B37-0101-08-003); 上海市优秀学科带头人计划(09XD1401700); 上海大学创新基金项目(08-22); 上海市重点学科建设项目(S30106); 长江学者和创新团队发展计划基金课题(IRT0844)资助 |
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| 摘 要： | 数值方法研究超临界速度下轴向运动梁横向非线性振动前两阶固有频率.通过对非平凡平衡位形做坐标变换,建立超临界轴向运动梁的标准控制方程,一个积分-偏微分非线性方程.利用有限差分法数值离散梁两端简支边界下控制方程,计算轴向运动梁中点的横向振动位移,并将计算结果作为时间序列,运用离散傅立叶变换得到超临界轴向运动梁横向振动的频率...
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| 关 键 词： | 轴向运动梁 非线性 固有频率 横向振动 超临界 |
| 收稿时间： | 2010-03-02 |
FREQUENCY DOMAIN ANALYSIS OF SUPERCRITICAL NONLINEAR VIBRATION OF AXIALLY MOVING BEAMS |
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| Hu Ding,Guoce Zhang,Liqun Chen.FREQUENCY DOMAIN ANALYSIS OF SUPERCRITICAL NONLINEAR VIBRATION OF AXIALLY MOVING BEAMS[J].Acta Mechnica Solida Sinica,2011,32(4):360-364. |
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| Authors: | Hu Ding Guoce Zhang Liqun Chen |
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| Institution: | Hu Ding1 Guoce Zhang1 Liqun Chen1,2 (1 Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University,Shanghai,200072)(2 Department of Mechanics,200444) |
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| Abstract: | In the present paper,the first two supercritical natural frequencies of nonlinear transverse free vibration of axially moving beams are numerically investigated.In the supercritical transport speed regime,the nonlinear integro-partial-differential equation is cast in the standard form of continuous gyroscopic systems via introducing a coordinate transform for the non-trivial equilibrium configuration.Numerical schemes are presented for the governing equation via the finite difference method under the simply... |
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| Keywords: | axially moving beam nonlinearity transverse vibration natural frequency supercritical |
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