静水中悬臂同轴圆柱壳的流固耦合振动分析
|
摘要
采用能量方法计算固定—自由边界条件下的同轴圆柱薄壳结构在水中的振动频率,通过假设振型来计算壳体和流体的能量,由Hamilton原理给出流体附加质量系数的表达形式并计算出振动频率,讨论了间隙因素对频率的影响.结果显示,本方法所得的解与由ANSYS方法得到的解符合较好.
In this paper,the frequency of a fluid-filled coaxial cylindrical shell in a fixed-free boundary condition is calculated by the energy method.Through the assumed vibration mode,the energy of the structure and the fluid is obtained.By the application of the Hamilton principle,the expression form of the added mass coefficients is obtained and the vibration frequencies are calculated.Finally,the influence of the gap on frequency is investigated.It is shown that the present solutions are in good agreement with the ones given by the ANSYS software.
In this paper,the frequency of a fluid-filled coaxial cylindrical shell in a fixed-free boundary condition is calculated by the energy method.Through the assumed vibration mode,the energy of the structure and the fluid is obtained.By the application of the Hamilton principle,the expression form of the added mass coefficients is obtained and the vibration frequencies are calculated.Finally,the influence of the gap on frequency is investigated.It is shown that the present solutions are in good agreement with the ones given by the ANSYS software.
引文
[1]Chen S S,Rosenberg G S.Dynamics of a coupled shellfluid system[J].Nucl Eng Des,1975,32(3):302-310.
[2]Jhung M J,Kim Y B,Jeong K H,et al.Modal analysis of coaxial shells with fluid-filled annulus[J].J Kor Nucl Soc,2000,32(4):328-341.
[3]Askari E,Daneshmand F,Amabili M.Coupled vibrations of apartially fluid-filled cylindrical container with an internal body including the effect of free surface waves[J].J Fluid Struct,2011,27(7):1049-1067.
[4]Askari E,Jeong K H,Amabili M.Hydroelastic vibration of circular plates immersed in a liquid-filled container with free surface[J].J Sound Vibr,2013,332(12):3064-3085.
[5]Krajcinovic D.Vibrations of two coaxial cylindrical shells containing fluid[J].Nucl Eng Des,1974,30(2):242-248.
[6]骆东平.任意边界条件下圆柱壳体振动特性分析[J].固体力学学报,1990,11(1):86-96.
[7]Naumann E C,Sewall J L.An experimental and analytical vibration study of thin cylindrical shells with and without longitudinal stiffeners[R].Washington,USA:NTRS,1968.
[8]Kwak M K,Koo J R,Bae C H.Free vibration analysis of a hung clamped-free cylindrical shell partially submerged in fluid[J].J Fluid Struct,2011,27(2):283-296.
[9]曹志远.板壳振动理论[M].北京:中国铁道出版社,1989.
[10]马建中,杨翊仁,张继业.静水中反应堆吊篮结构的振动特性研究[J].振动工程学报,2000,13(3):468-473.
[2]Jhung M J,Kim Y B,Jeong K H,et al.Modal analysis of coaxial shells with fluid-filled annulus[J].J Kor Nucl Soc,2000,32(4):328-341.
[3]Askari E,Daneshmand F,Amabili M.Coupled vibrations of apartially fluid-filled cylindrical container with an internal body including the effect of free surface waves[J].J Fluid Struct,2011,27(7):1049-1067.
[4]Askari E,Jeong K H,Amabili M.Hydroelastic vibration of circular plates immersed in a liquid-filled container with free surface[J].J Sound Vibr,2013,332(12):3064-3085.
[5]Krajcinovic D.Vibrations of two coaxial cylindrical shells containing fluid[J].Nucl Eng Des,1974,30(2):242-248.
[6]骆东平.任意边界条件下圆柱壳体振动特性分析[J].固体力学学报,1990,11(1):86-96.
[7]Naumann E C,Sewall J L.An experimental and analytical vibration study of thin cylindrical shells with and without longitudinal stiffeners[R].Washington,USA:NTRS,1968.
[8]Kwak M K,Koo J R,Bae C H.Free vibration analysis of a hung clamped-free cylindrical shell partially submerged in fluid[J].J Fluid Struct,2011,27(2):283-296.
[9]曹志远.板壳振动理论[M].北京:中国铁道出版社,1989.
[10]马建中,杨翊仁,张继业.静水中反应堆吊篮结构的振动特性研究[J].振动工程学报,2000,13(3):468-473.