| 矩形薄板在不同边界条件下的固有振动分析 |
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| 引用本文： | 袁熙,李舜酩.矩形薄板在不同边界条件下的固有振动分析[J].航空发动机,2005,31(3):39-43. |
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| 作者姓名： | 袁熙 李舜酩 |
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| 作者单位： | 南京航空航天大学,南京,210016 |
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| 摘 要： | 研究了在弹性支撑和弹性嵌固边界条件下,弹性矩形薄板固有振动特性的变化规律。利用单项梁函数组合法推导出矩形薄板在2种边界条件下的振型和固有频率的计算公式,应用此公式计算出弹簧系数的变化和薄板固有频率等特征的变化趋势,为分析实际悬臂板类结构振动的特征打下基础。
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| 关 键 词： | 薄板 振动特性 固有频率 弹性支撑 弹性嵌固 |
| 修稿时间： | 2004年7月16日 |
Natural Vibration Analysis of Thin Rectangular Plate Under Different Boundary Conditions |
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| Authors: | YUAN Xi Li Shunming |
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| Abstract: | The changing pattern of the natural vibration characteristics of thin rectangular elastic plate is studied under the boundary conditions of elastic support and elastic embedding. Formula for calculating the thin plate vibration mode and natural vibration frequency under the two boundary conditions are derived by using unilateral beam function. The formula is then used to calculate the variations of elastic coefficient and the changing tendency of thin plate natural frequency, which is fundamental for analyzing the plate-construction vibration characteristics of actual cantilever. |
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| Keywords: | thin plate vibration characteristics natural frequency elastic support elastic embedding |
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