轴对称加载的阶梯式压力容器的径向振动

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Radial Vibrations of Axisymmetrically Loaded Stepped Pressure Vessels

^1. Division 508, Department of Flight Vehicle Design and Applied Mechanics, Beijing University of Aeronatics and Astronautics, Beijing 100083, P R China;
^2. Beijing Communications Management Institute for Executives, Beijing 101601, P R China

摘要: 用奇异函数建立轴对称加载的阶梯式压力容器径向自由振动和强迫振动的微分方程并求得其通解,用W算子给出主振型函数的表达式及常见支承条件下容器的频率方程。
- 轴对称加载 /
- 阶梯式压力容器 /
- 径向振动 /
- 自由振动 /
- 强迫振动响应
Abstract: Differential equations of free/forced radial vibrations of axisymmetrically loaded stapped pressure vessels are established by using singular functions. Furthermore,their general solutions are solved, the expression of vibration mode function and frequency equations on usual supports are derived with W operator and forced response of such vessels are calculate.
- axisymmetrically loaded /
- stepped pressure vessel /
- radial vibration /
- free vibration /
- forced response

[1]	Ugral A C.板壳应力[M].范钦珊译.北京:中国建筑工业出版社,1986,188～190
[2]	张英世,王燮山.文克尔地基上阶梯式单向矩形薄板的振动[J].应用数学和力学,1998,19(2):157～164.

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