文克尔地基上阶梯式矩形薄板的振动

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Vibrations of Stepped Rectangular Thin Plates on Winkler’s Foundation

Division 508, Department of Flight Vehicle Design and Applied Mechanics, Beijing University of Aeronautics and Astronautics, Beijing 100083, P R China

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.
- 文克尔地基 /
- 阶梯式矩形薄板 /
- 自由振动 /
- 强迫振动响应
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 Woperator,as well as forced responses of such plates under different-type loads discussed with Fourier expansion of generalized functions.
- Winkler’s foundation /
- stepped rectangular thin plate /
- free vibration /
- forced response

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[2]	曹志远.板壳振动理论[M].北京:中国铁道出版社,1989,16～17.