| 粘弹性地基上弹性梁的自由振动分析 |
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| 引用本文： | 刘学山,胥兵.粘弹性地基上弹性梁的自由振动分析[J].上海力学,1999,20(4):470-476. |
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| 作者姓名： | 刘学山 胥兵 |
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| 作者单位： | [1]同济大学地下建筑与工程系 [2]华东电力设计院 |
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| 摘 要： | 本文将文克尔弹性地基梁模型中的弹簧用粘弹性元件来替代，建立了三元件文克尔粘弹性地基止粘弹性梁的静力和动力本构方程，求出了粘弹性地基上弹性梁的自由振动的级数解。并且对不同的振动情况进行讨论，最后给出了算例及结论。
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| 关 键 词： | 粘弹性地基 弹性梁 自由振动 级数解 |
FREE VIBRATION ANALYSIS FOR ELASTIC BEAM ON VISCOELASTIC FOUNDATION |
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| Liu Xueshan Feng Zhiliang.FREE VIBRATION ANALYSIS FOR ELASTIC BEAM ON VISCOELASTIC FOUNDATION[J].Chinese Quarterly Mechanics,1999,20(4):470-476. |
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| Authors: | Liu Xueshan Feng Zhiliang |
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| Abstract: | Static and dynamic differential equations are established for a viscoelastic beam resting upon a viscoelastic base of Winkler type with three elements by substituting viscoelastic elements for springs in the Winkler elastic beam-foundation model. Progressional solutions are obtained for vibrations of elastic beam upon viscoelastic support and various kinds of vibrations are then discussed. Example and conclusions are given in the end. |
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| Keywords: | viscoelastic foundation elastic beam free vibration progressional solutions |
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