充液圆柱壳的轴对称自由振动
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摘要
用解析法对立式充液圃柱壳的轴对称振动特性进行了研究.假定液体是非粘滞、可压缩的.初步探讨了液体的可压缩性、壳的几何尺寸对轴对称固有频率的影响,并给出了计算固有基频的近似公式.计算表明,对于常见的充液圈柱壳,用近似公式计算出的固有基频与解析值非常接近.
An analytical method for the computation of the axisymmetric dynamic characteristics of filled, upright cylindrical shells is presented. The liquid is assumed to be inviscid and compressible. The effects of liquid compressibility and the dimensions of shells on the natural frequencies of the axisymmetric vibrations of shell-liquid system are discussed. An approximate formula for the calculation of the fundamental natural frequency is derived with Galerkin's method. A number of numerical examples indicated that the results of analytical method are in excellent agreement with analytical method.
An analytical method for the computation of the axisymmetric dynamic characteristics of filled, upright cylindrical shells is presented. The liquid is assumed to be inviscid and compressible. The effects of liquid compressibility and the dimensions of shells on the natural frequencies of the axisymmetric vibrations of shell-liquid system are discussed. An approximate formula for the calculation of the fundamental natural frequency is derived with Galerkin's method. A number of numerical examples indicated that the results of analytical method are in excellent agreement with analytical method.
引文
1． Marchaj T J.Importance of Vertical Acceleration in the Design of Liquid Containing Tanks,Proc.of the 2nd US National Conference on Earthquake Engineering Standford Calif.1979
2． Veletsos A S.Kumar A.Dynamic Response of Vertically Excited Storage Tanks,Proc.8th Conference on Earthquake Ensineering San Francisco,Calif,1984
3． Luft R W.Vetical Accelerations in Prestressed Concrete Tanks.J of Structural Engineering.1984,110(4)
4． Haroun M A.Tayel M A.Axisymmetrical Vibrations of Tanks-Numerical:Axisymmetrical Viberation of Tanks-Analytical.J of Engineering Mechanics,1985． 111(3)
5． Veletsos A S,Tang Y.Dynamics of Vertically Excited Liquid Storage Tanks.J of Structural Engineering 1986,102(6)
6． Fischer F D.Seeber R.Dynamic Response of Vertically Exited Liquid Storage Tanks Considering Liquid Soil Interaction.Earthquake Engineering and Structural Dynamics,1988． 16:329～342
7． 陈冠卿.垂直地震荷载在液体储罐设计中的重要性--关于“象腿”现象的成因.油气储运,1982,(4)
8． 郭骅.王伟.储液罐轴对称自由振动周期的近似解.油气储运1983,(3)
9． Chu Wenhwa.Breathing Vibrations of a Partially Filled Cylindrical Tank-Linear Theory.J of Applied Mechanics,ASME,1963
10． Flugge W.Stresses in shells.Second Edition.New York:Springer-Verlag Berling Heidelberg,1973
2． Veletsos A S.Kumar A.Dynamic Response of Vertically Excited Storage Tanks,Proc.8th Conference on Earthquake Ensineering San Francisco,Calif,1984
3． Luft R W.Vetical Accelerations in Prestressed Concrete Tanks.J of Structural Engineering.1984,110(4)
4． Haroun M A.Tayel M A.Axisymmetrical Vibrations of Tanks-Numerical:Axisymmetrical Viberation of Tanks-Analytical.J of Engineering Mechanics,1985． 111(3)
5． Veletsos A S,Tang Y.Dynamics of Vertically Excited Liquid Storage Tanks.J of Structural Engineering 1986,102(6)
6． Fischer F D.Seeber R.Dynamic Response of Vertically Exited Liquid Storage Tanks Considering Liquid Soil Interaction.Earthquake Engineering and Structural Dynamics,1988． 16:329～342
7． 陈冠卿.垂直地震荷载在液体储罐设计中的重要性--关于“象腿”现象的成因.油气储运,1982,(4)
8． 郭骅.王伟.储液罐轴对称自由振动周期的近似解.油气储运1983,(3)
9． Chu Wenhwa.Breathing Vibrations of a Partially Filled Cylindrical Tank-Linear Theory.J of Applied Mechanics,ASME,1963
10． Flugge W.Stresses in shells.Second Edition.New York:Springer-Verlag Berling Heidelberg,1973
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