| 文克尔地基上阶梯式矩形薄板的振动 |
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| 引用本文： | 张英世.文克尔地基上阶梯式矩形薄板的振动[J].应用数学和力学,1999,20(5):535-544. |
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| 作者姓名： | 张英世 |
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| 作者单位： | 北京航空航天大学,飞行器设计与应用力学系508教研室,北京,100083 |
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| 摘 要： | 用奇异函数建立文克尔地基上阶梯式矩形薄板自由振动和强迫振动的微分方程并求得其通解，用Ｗ算子给出振型函数的表达式及常见支承条件下板的频率方程，用广义函数的富里叶展开，讨论板在不同载荷作用下的强迫振动响应
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| 关 键 词： | 文克尔地基 阶梯式矩形薄板 自由振动 强迫振动响应 |
| 文章编号： | 1000-0887(1999)05-0535-10 |
Vibrations of Stepped Rectangular Thin Plates on Winkler's Foundation |
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| Zhang Yingshi.Vibrations of Stepped Rectangular Thin Plates on Winkler's Foundation[J].Applied Mathematics and Mechanics,1999,20(5):535-544. |
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| Authors: | Zhang Yingshi |
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| Abstract: | Differential equations of free/forced vibrations of stepped rectangular thin plates on Winkler's foundation are established by using singular functions, and their general solutions are also solved for expression of vibration mode function and frequency equations on usual supports derived with W operator, as well as forced responses of such plates under different_type loads discussed with Fourier expansion of generalized functions. |
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| Keywords: | Winkler's foundation stepped rectangular thin plate free vibration forced response |
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