| 混杂边界轴向运动Timoshenko梁固有频率数值解 |
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| 引用本文： | 胡超荣,丁虎,陈立群.混杂边界轴向运动Timoshenko梁固有频率数值解[J].振动与冲击,2011,30(7):245-249. |
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| 作者姓名： | 胡超荣 丁虎 陈立群 |
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| 作者单位： | 1上海大学 上海市应用数学和力学研究所，上海200444，2上海大学力学系，上海200072 |
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| 基金项目： | 国家自然科学基金项目，国家杰出青年科学基金，上海高校选拔培养优秀青年教师科研专项基金，上海市优秀学科带头人计划，上海大学创新基金项目，上海市重点学科建设项目，长江学者和创新团队发展计划基金课题 |
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| 摘 要： | 运用微分求积方法求解两端带有扭转弹簧且弹簧系数均可任意变化的非对称下的轴向运动Timoshenko梁的固有频率。以权系数修改法处理轴向运动Timoshenko梁的混杂边界。研究系统的前两阶固有频率随轴向速度、刚度系数以及弹簧弹性系数变化的情况，并将数值计算结果与半解析半数值的研究结果进行比较，结果表明，数值计算结果与半解析半数值结果基本吻合。
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| 关 键 词： | 轴向运动梁 Timoshenko模型 固有频率 微分求积法 |
| 收稿时间： | 2010-4-12 |
| 修稿时间： | 2010-5-24 |
Natural frequency numerial solution to an axially moving timoshenko beam with hybrid boundary |
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| HU Chao-rong,DING Hu,CHEN Li-qun.Natural frequency numerial solution to an axially moving timoshenko beam with hybrid boundary[J].Journal of Vibration and Shock,2011,30(7):245-249. |
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| Authors: | HU Chao-rong DING Hu CHEN Li-qun |
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| Affiliation: | 1 Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China. 2 Department of Mechanics at Shanghai University, Shanghai 200444, China |
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| Abstract: | The differential quadrature method was developed to solve natural frequencies of an axially moving asymmetric hybrid supported Timoshenko beams with randomly varying spring coefficients at both sides.The weighted coefficient matrices were modified for dealing with the hybrid boundary.The axially moving speed,the stiffness of the beam and the spring coefficients were numerically investigated for clarifying their influences on the first two natural frequencies,and the results were compared with the semi-analy... |
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| Keywords: | axially moving beam transverse vibration natural frequency differential quadrature method |
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