Equilibrium of a Rotating Circular Membrane under Transverse Distributed Load
Equilibrium of a Rotating Circular Membrane under Transverse Distributed Load
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DOI：
10.1299/jsdd.1.85
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发表时间：
2007
期刊：
影响因子：
--
通讯作者：
N. Okuizumi
中科院分区：
文献类型：
--
作者：
N. Okuizumi
研究了旋转圆膜在横向分布载荷作用下的平衡状态。为了分析极薄薄膜的大横向变形，假定薄膜为旋转对称变形，并应用旋转壳的薄膜理论和von Karman理论建立基本平衡方程。提出了考虑横向大变形屈曲的平衡方程数值积分方法，得到了平衡状态下的近似位移、应力和应变分布，但不能给出屈曲波。比较了两种理论的计算结果，发现即使在横向挠度远大于板厚的情况下，两种理论的计算结果基本一致，并对冯卡门理论的适用范围进行了估计。本文还对真空中旋转圆膜在重力作用下的横向位移进行了实验测量。结果表明，分析得到的位移与实验测得的位移吻合较好。
Equilibrium states of a rotating circular membrane subjected to a transverse distributed load are investigated. In order to analyze large transverse deformations of an extremely thin membrane, rotationally symmetric deformations are assumed and the membrane theory of shells of revolution and the von Karman theory are applied to formulate basic equilibrium equations. Numerical integration method of the equilibrium equations are proposed taking account of buckling due to large transverse deformation and approximate displacements, stress and strain distributions in equilibrium states are obtained while the method cannot give buckling waves. The results based on the two theories are compared and it is found that the results are approximately the same even when the transverse deflection is extremely larger than the thickness and the applicable scope of the von Karman theory is estimated. An experiment is also conducted to measure transverse displacements of a rotating circular membrane under gravity in vacuum with a wide range of rotation speeds. It is shown that the displacements given by the analyses fit into the displacements measured by the experiment.