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输送液体的层压圆柱壳的自由振动
引用本文:雷国璞.输送液体的层压圆柱壳的自由振动[J].华中科技大学学报(自然科学版),1989(1).
作者姓名:雷国璞
作者单位:华中理工大学力学系
摘    要:本文应用诺沃日洛夫的壳体理论,对输送液体的层压复合材料圆柱壳的自由振动进行了分析,在分析中忽略了壳体结构的切向及轴向惯性力的影响,考虑了壳体和液体的相互作用,导出了一般情况下的频率方程。实例中对两端简支双层正交异性材料薄片组成的圆柱壳的固有频率进行了数值计算,得到了一些有价值的结果。

关 键 词:圆柱壳  振动频率  各向异性  流体质量  速度  扰动压力

The Free Vibration of Fluid Conveying Laminated Cylindrical Shell
Lei Guopu.The Free Vibration of Fluid Conveying Laminated Cylindrical Shell[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,1989(1).
Authors:Lei Guopu
Abstract:The free vibration of fluid conveying multilayer elastic cylindrical shell is studied. The equations of motion ars described by Novozhilov's theory of shell and the circumferential and axial inertial forces have been neglected. The fluid is assumed to be incompressible, nonviscous and irrotational. The constitutive equation of the shell is based on the classical theory of multilayer shell and is given as follows: The solutions for the displacements are expressed as: u = Ajexp(and w will have to satisfy specific boundary conditions. Numerical calculation has been done for the free vibration frequencies of a simply supported shell with two orthotropic layers.
Keywords:Cylindrical shell  Vibration frequency  Orthotropic  Fluid mass  Ve-locity  Perturbation pressure  
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