| 分数阶Kelvin模型描述的单质点基础隔振体系动力特性分析 |
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| 引用本文： | 黄学玉,刘林超.分数阶Kelvin模型描述的单质点基础隔振体系动力特性分析[J].噪声与振动控制,2010,30(1):18-21. |
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| 作者姓名： | 黄学玉 刘林超 |
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| 作者单位： | （信阳师范学院土木工程学院,河南信阳464000） |
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| 基金项目： | 上海市重点学科建设项目，上海市自然科学基金 |
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| 摘 要： | 利用分数导数的性质和粘弹性理论得到分数阶Kelvin模型描述的单自由度基础隔震体系的隔震结构加速度响应衰减比和位移响应放大比,并研究分数导数的阶数、阻尼比和频率比对隔震结构位移响应放大比的影响,研究表明:分数导数的阶数和阻尼比对隔震结构位移响应放大比的影响较大,阻尼比对分数导数Kelvin模型和经典粘弹性模型描述的隔震结构位移响应放大比的影响规律存在不同,且分数导数模型的应用范围较广。
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| 关 键 词： | 振动与波 分数导数 隔振体系 衰减比 粘弹性 |
| 收稿时间： | 2009-3-28 |
Dynamic Properties of Single-Particle Vibration-Isolating System Described by Fractional-Order Kelvin Model |
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| HUANG Xue-yu,LIU Lin-chao.Dynamic Properties of Single-Particle Vibration-Isolating System Described by Fractional-Order Kelvin Model[J].Noise and Vibration Control,2010,30(1):18-21. |
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| Authors: | HUANG Xue-yu LIU Lin-chao |
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| Affiliation: | (School of Civil Engineering, Xingyang Normal University, Xinyang Henan464000, China) |
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| Abstract: | Regarding the isolation layers as viscoelastic materials,the decay ratio of acceleration response and amplification ratio of displacement response of isolation structure for single-particle vibration-isolation system described by fractional Kelvin model are obtained.The influences of the order of fractional derivative,damping ratio and frequency ratio on the amplification ratio of displacement response of the isolation structure are investigated.The result shows that the order of fractional derivative and d... |
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| Keywords: | vibration and wave fractional-order derivative isolating system decay ratio viscoelasticity |
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