| 粘弹性基础上粘弹矩形板的非线性振动响应分析 |
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| 引用本文： | 李晶晶,程昌钧.粘弹性基础上粘弹矩形板的非线性振动响应分析[J].上海大学学报(自然科学版),2000,6(3):231-236. |
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| 作者姓名： | 李晶晶 程昌钧 |
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| 作者单位： | 上海大学,理学院,上海,200072 |
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| 基金项目： | 上海市教委发展基金! (No.99A0 1) |
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| 摘 要： | 采用多重尺度法，利用Ｍａｔｈｅｍａｔｉｃａ符号推导，求解了粘弹性基础上粘弹矩形板的非线性振动问题，并系统地分析了主共振情况，得到了二阶近似解的骨干曲线。
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| 关 键 词： | 粘弹性基础 粘弹性矩形板 非线性振动响应 |
| 修稿时间： | : |
Nonlinear Vibration Analysis of Viscoelastic Rectangular Plate on a Viscoelastic Foundation |
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| LI Jing jing,CHEN Chang jun.Nonlinear Vibration Analysis of Viscoelastic Rectangular Plate on a Viscoelastic Foundation[J].Journal of Shanghai University(Natural Science),2000,6(3):231-236. |
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| Authors: | LI Jing jing CHEN Chang jun |
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| Abstract: | The nonlinear vibration problem of a viscoelastic rectangular plate on a viscoelastic foundation is studied by the multiple scales method. A second order approximate analytical solution is obtained by Mathematica, and the dynamic behaviors of a rectangular plate in the case of main resonance are discussed systematically. |
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| Keywords: | viscoelastic foundation viscoelastic rectangular plate nonlinear vibration response multiple scales method Mathematica |
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