小雷诺数下弹性圆柱壳行波振动问题研究
|
摘要
基于不可压缩、不可渗透的假设,研究圆柱壳不间断振动时黏性流体的应力、流体的压力和有效作用系数等.假设雷诺数远远小于1,流体运动的纳维-斯托克斯方程近似为斯托克斯方程,由于问题具有轴对称性,根据相容拉格朗日-欧拉法解出的问题的流函数表达式,计算出弹性体振动时流体压力、单位面积上的功率以及有效作用系数,并进行了结果分析.
The stress,pressure and efficiency parameter were studied for the vibration problem of elastic cylindrical shell in incompressible viscous fluid. The Navier-Stokes equations were almost equal to the Stokes equations under the assumption of small Reynolds number less than 1. The stream function was given using united Lagrangian-Eulerian method. Then the pressure,the rate of working per unit area and the efficiency parameter were presented. The results were analyzed.
The stress,pressure and efficiency parameter were studied for the vibration problem of elastic cylindrical shell in incompressible viscous fluid. The Navier-Stokes equations were almost equal to the Stokes equations under the assumption of small Reynolds number less than 1. The stream function was given using united Lagrangian-Eulerian method. Then the pressure,the rate of working per unit area and the efficiency parameter were presented. The results were analyzed.
引文
[1]陈伟民,付一钦,郭双喜,等.海洋柔性结构涡激振动的流固耦合机理和响应[J].力学进展,2017,47(1):25-91.
[2]陈伟民,张立武,李敏.采用改进尾流振子模型的柔性海洋立管的涡激振动响应分析[J].工程力学,2010,27(5):240-246.
[3]刘东华,王金玺,柯世堂.基于大涡模拟特大型冷却塔风振系数取值研究[J].郑州大学学报(理学版),2017,49(1):114-119.
[4]张军锋,葛耀君,赵林.冷却塔风振响应时程计算和风振系数分析[J].振动与冲击,2017,36(3):163-171.
[5]李杰,周亚鹏,陈淮.波形钢腹板连续箱梁的结构参数对其自振影响分析[J].郑州大学学报(理学版),2017,49(1):120-126.
[6]段勇,郭君,周凌波.水下航行器尾段振动激励源特性试验研究[J].水下无人系统学报,2017,25(4):332-338.
[7] LIGHTHILL J. Mathematical biofluiddynamics[M]. Philadelphia:SIAM,1975.
[8]吴文广.仿鲹科机器鱼推进性能实验研究[D].合肥:中国科学技术大学,2010.
[9] TAYLOR G. Analysis of the swimming of long and narrow animals[J]. Proceedings of the royal society A,1952,214(1117):158-183.
[10] LIGHTHILL M J. Note on the swimming of slender fish[J]. Journal of fluid mechanics,1960,9(2):305-317.
[11] LIGHTHILL M J. Aquatic animal propulsion of high hydromechanical efficiency[J]. Journal of fluid mechanics,1970,44(2):265-301.
[12] LIGHTHILL M J. Large-amplitude elongated-body theory of fish locomotion[J]. Proceedings of the royal society B,1971,179(1055):125-138.
[13]程健宇,庄礼贤,童秉纲.波动薄板游动的展向变形作用和壁面效应[J].中国科学技术大学学报,1991,21(4):423-427.
[14]程健宇,庄礼贤,童秉纲.新月形尾鳍推进的流体力学分析[J].力学学报,1992,24(4):458-465.
[15]上海交通大学船舶制造系编.流体力学[M].北京:北京科学教育出版社,1961.
[16]索科洛夫,津格乐.喷射器[M].黄秋云,译.北京:科学出版社,1977.
[17]王竹溪,郭敦仁.特殊函数概论[M].北京:科学出版社,1979.
[18] BLAKE J R. A spherical envelope approach to ciliary propulsion[J]. Journal of fluid mechanics,1971,46(1):199-208.
[19]张兆顺,崔桂香.流体力学[M]. 3版.北京:清华大学出版社,2015.
[20] BLAKE J R. Infinite models for ciliary propulsion[J]. Journal of fluid mechanics,1971,49(2):209-222.
[2]陈伟民,张立武,李敏.采用改进尾流振子模型的柔性海洋立管的涡激振动响应分析[J].工程力学,2010,27(5):240-246.
[3]刘东华,王金玺,柯世堂.基于大涡模拟特大型冷却塔风振系数取值研究[J].郑州大学学报(理学版),2017,49(1):114-119.
[4]张军锋,葛耀君,赵林.冷却塔风振响应时程计算和风振系数分析[J].振动与冲击,2017,36(3):163-171.
[5]李杰,周亚鹏,陈淮.波形钢腹板连续箱梁的结构参数对其自振影响分析[J].郑州大学学报(理学版),2017,49(1):120-126.
[6]段勇,郭君,周凌波.水下航行器尾段振动激励源特性试验研究[J].水下无人系统学报,2017,25(4):332-338.
[7] LIGHTHILL J. Mathematical biofluiddynamics[M]. Philadelphia:SIAM,1975.
[8]吴文广.仿鲹科机器鱼推进性能实验研究[D].合肥:中国科学技术大学,2010.
[9] TAYLOR G. Analysis of the swimming of long and narrow animals[J]. Proceedings of the royal society A,1952,214(1117):158-183.
[10] LIGHTHILL M J. Note on the swimming of slender fish[J]. Journal of fluid mechanics,1960,9(2):305-317.
[11] LIGHTHILL M J. Aquatic animal propulsion of high hydromechanical efficiency[J]. Journal of fluid mechanics,1970,44(2):265-301.
[12] LIGHTHILL M J. Large-amplitude elongated-body theory of fish locomotion[J]. Proceedings of the royal society B,1971,179(1055):125-138.
[13]程健宇,庄礼贤,童秉纲.波动薄板游动的展向变形作用和壁面效应[J].中国科学技术大学学报,1991,21(4):423-427.
[14]程健宇,庄礼贤,童秉纲.新月形尾鳍推进的流体力学分析[J].力学学报,1992,24(4):458-465.
[15]上海交通大学船舶制造系编.流体力学[M].北京:北京科学教育出版社,1961.
[16]索科洛夫,津格乐.喷射器[M].黄秋云,译.北京:科学出版社,1977.
[17]王竹溪,郭敦仁.特殊函数概论[M].北京:科学出版社,1979.
[18] BLAKE J R. A spherical envelope approach to ciliary propulsion[J]. Journal of fluid mechanics,1971,46(1):199-208.
[19]张兆顺,崔桂香.流体力学[M]. 3版.北京:清华大学出版社,2015.
[20] BLAKE J R. Infinite models for ciliary propulsion[J]. Journal of fluid mechanics,1971,49(2):209-222.