柔长结构气固耦合的线性与非线性气动力理论

徐旭; 曹志远

柔长结构气固耦合的线性与非线性气动力理论

徐旭^1,2,
曹志远²

1.
上海大学上海市应用数学和力学研究所, 上海, 200072;
2.
同济大学工程力学与技术系, 上海, 200092

详细信息

作者简介:
徐旭(1968- ),男,江苏南通人,讲师,博士,主要从事固体力学和柔性结构风致响应研究.

中图分类号: TU311.3;O321
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- 文章访问数: 2447
- HTML全文浏览量: 65
- PDF下载量: 881
- 被引次数: 0
出版历程
- 收稿日期: 2000-09-06
- 修回日期: 2001-07-06
- 刊出日期: 2001-12-15

Linear and Nonlinear Aerodynamic Theory of Interaction Between Flexible Long Structure and Wind

XU Xu^1,2,
CAO Zhi-yuan²

1.
Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China;
2.
Department of Engineering Mechanics and Technology, Tongji University, Shanghai 200092, P. R. China

摘要

摘要: 针对柔性结构与风在三方向相互作用的特点,在合理的结构节段力学模型的基础上,建立了新的气动力模型,即三分力系数C_i=C_i(β(t),θ),(#em/em#=D,L,M)不仅是瞬时攻角的函数,而且也是转速的函数,并依据“片条理论”与改进的“准静态理论”,提出了推导结构节段模型与风相互作用的线性与非线性气动力项的方法,从而将土木工程中柔性结构与风的相互作用的线性与非线性理论集中到一个模型中.对于线性气动力部分,给出了与经典气动力公式中相对应的颤振导数的半解析表达式.对于非线性气动力部分,给出了扭转气动耦合的非线性气动力表达式,并给出了Tacoma大桥扭转非线性运动的控制方程,其形式与结果与V.F.B-m的相吻合.

关键词:
非线性气动力 /

耦合作用 /

颤振导数
Abstract: In light of the characteristics of the interactions between flexible structure and wind in three directions, and based on the rational mechanical section-model of structure, a new aerodynamic force model is accepted, i. e. the coefficients of three component forces are the functions of the instantaneous attack angle and rotational speed C_i=C_i(β(t),θ),(#em/em#=D,L,M). so, a new method to formulate the linear and nonlinear aerodynamic items of wind and structure interacting has been put forward in accordance with "strip theory" and modified "quasi-static theory", and then the linear and nonlinear coupled theory of super-slender structure for civil engineering analyzing are converged in one model. For the linear aerodynamic-force parts, the semi-analytical expressions of the items so called "flutter derivatives" corresponding to the one in the classic equations have been given here, and so have the nonlinear parts. The study of the stability of nonlinear aerodynamic-coupled torsional vibration of the Old Tacoma Bridge shows that the form and results of the nonlinear control equation in rotational direction are in agreement with that of V. F. Bhm's.

Key words:
nonlinear aerodynamic forces /

coupled interaction /

flutter derivatives

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参考文献(22)

[1] Scanlan R H,Tomko J J.Airfoil and bri dge deck flutter derivatives[J].J Eng Mech,ASCE,1971,97(EM6):17 17-1737.

[2] Scanlan R H.The action of flexible bridges under wind(Ⅰ) flutte r theory[J].J Sound Vibration,1978,60(2):187-199.

[3] Lin Y K.Motion of suspension bridges in turbulent winds[J].J Eng Mech,ASCE,1979,105(EM6):921-923.

[4] Lin Y K,Ariaratnam S T.Stability of bridge motionin turbulent winds[J].J Struct Mech,1980,8(1):1-15.

[5] Scanlan R H.The action of flexible bridge under wind(Ⅱ) buffeti ng theory[J].J Sound Vibration,1978,60(2):201-211.

[6] Davenport A G.The response of slender,line-like structures to a gusty wind[J].Proceedings ICE,1962,23:389-407.

[7] Scanlan R H.Interpreting aeroelastic models of cable-stay ed bridg es[J].J Eng Mech,ASCE,1987,113(4):555-575.

[8] Sarkar P P,et al.Identification of aeroelastic parameters of fle xible bridges[J].J Eng Mech,ASCE,1994,120(8):1718-1742.

[9] Piccardo G.A methodology for the study of coupled aeroelastic phenomena[J].J Wind Eng Indus Aerodynamic,1993,48:241-252.

[10] Solari G.Gust-Excited Vibrations[M].New York:Springer-Ve rlag,1994.

[11] Strïmmen E,Hiorth-Hansen E.The buffeting wind loading of structural members at an arbitrary attitude in the flow[J].J Wind Eng Indus Aerod ynamic,1995,56:267-290.

[12] Brito J L V,Riera J D.Aerodynamic instability of cylindrical bluff bodies in non-homogeneous flow[J].J Wind Eng Indus Aerodynamic,1995,57,81-96.

[13] Parkinson G V,Brooks N P H.On the aeroelastic instability of bluff cylinders[J].J Appl Mech,1961,83:250-258.

[14] Novak M.Aeroelastic galloping of rigid and elastic bodies[R].Univ Western Ontorio,London/Canada,Res Rep BLWT-3-68,1968.

[15] Bhm V F.Berechnugn nichtlinearer aerodynamisch erregter schwin gungen von Hangebrucken[J].Der Stahlbau,1967,7:207-215.

[16] Falco M,Curami A,Zasso A.Nonlinear effects in sectional model aeroelastic parameters[J].J Wind Eng Indus Aerodynamic,1992,41-44:1321-1332.

[17] Diana G,Cheli F,Resta F.Time domain aeroelastic force identification on bridge decks[A].In:9th International Conference of Wind Engineering[C].New Delhi,India,1995,938-949.

[18] Borri C,Hffer R,Zahlten W.A nonlinear approach for evaluating simultaneous buffeting and aeroelastic effects on bridge decks[A].In:9 the International Conference of Wind Engineering[C].New Delhi,India,1995,839-850.

[19] Steinmann D G,Hangebrücken-Das aerodynamische problem und seine lsung[J].Acier-Steel-Stahl,1954,19(10-11):495,542.

[20] Scanlan R H,Jones N P,Singh L.Inter-relation among flutter derivatives[J].J Wind Eng Indus Aerodynamic,1997,69-71:829-837.

[21] XU Xu,CAO Zhi-yuan.New expressions of nonlinear aerodynamic for ces in civil engineering[A].In:Proceedings of the 3rd Int Conf on Nonlinear Mech(ICNM-Ⅲ)[C].Shanghai:Shanghai University Press,Aug,1998,396-401.

[22] 徐旭,曹志远.气动耦合扭转非线性振动的稳定性分析[J].非线性动力学学报,1999,6(3):228-234.

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计量

文章访问数: 2447

HTML全文浏览量: 65

PDF下载量: 881

被引次数: 0

出版历程

收稿日期: 2000-09-06

修回日期: 2001-07-06

刊出日期: 2001-12-15

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[1]	Scanlan R H,Tomko J J.Airfoil and bri dge deck flutter derivatives[J].J Eng Mech,ASCE,1971,97(EM6):17 17-1737.
[2]	Scanlan R H.The action of flexible bridges under wind(Ⅰ) flutte r theory[J].J Sound Vibration,1978,60(2):187-199.
[3]	Lin Y K.Motion of suspension bridges in turbulent winds[J].J Eng Mech,ASCE,1979,105(EM6):921-923.
[4]	Lin Y K,Ariaratnam S T.Stability of bridge motionin turbulent winds[J].J Struct Mech,1980,8(1):1-15.
[5]	Scanlan R H.The action of flexible bridge under wind(Ⅱ) buffeti ng theory[J].J Sound Vibration,1978,60(2):201-211.
[6]	Davenport A G.The response of slender,line-like structures to a gusty wind[J].Proceedings ICE,1962,23:389-407.
[7]	Scanlan R H.Interpreting aeroelastic models of cable-stay ed bridg es[J].J Eng Mech,ASCE,1987,113(4):555-575.
[8]	Sarkar P P,et al.Identification of aeroelastic parameters of fle xible bridges[J].J Eng Mech,ASCE,1994,120(8):1718-1742.
[9]	Piccardo G.A methodology for the study of coupled aeroelastic phenomena[J].J Wind Eng Indus Aerodynamic,1993,48:241-252.
[10]	Solari G.Gust-Excited Vibrations[M].New York:Springer-Ve rlag,1994.
[11]	Strïmmen E,Hiorth-Hansen E.The buffeting wind loading of structural members at an arbitrary attitude in the flow[J].J Wind Eng Indus Aerod ynamic,1995,56:267-290.
[12]	Brito J L V,Riera J D.Aerodynamic instability of cylindrical bluff bodies in non-homogeneous flow[J].J Wind Eng Indus Aerodynamic,1995,57,81-96.
[13]	Parkinson G V,Brooks N P H.On the aeroelastic instability of bluff cylinders[J].J Appl Mech,1961,83:250-258.
[14]	Novak M.Aeroelastic galloping of rigid and elastic bodies[R].Univ Western Ontorio,London/Canada,Res Rep BLWT-3-68,1968.
[15]	Bhm V F.Berechnugn nichtlinearer aerodynamisch erregter schwin gungen von Hangebrucken[J].Der Stahlbau,1967,7:207-215.
[16]	Falco M,Curami A,Zasso A.Nonlinear effects in sectional model aeroelastic parameters[J].J Wind Eng Indus Aerodynamic,1992,41-44:1321-1332.
[17]	Diana G,Cheli F,Resta F.Time domain aeroelastic force identification on bridge decks[A].In:9th International Conference of Wind Engineering[C].New Delhi,India,1995,938-949.
[18]	Borri C,Hffer R,Zahlten W.A nonlinear approach for evaluating simultaneous buffeting and aeroelastic effects on bridge decks[A].In:9 the International Conference of Wind Engineering[C].New Delhi,India,1995,839-850.
[19]	Steinmann D G,Hangebrücken-Das aerodynamische problem und seine lsung[J].Acier-Steel-Stahl,1954,19(10-11):495,542.
[20]	Scanlan R H,Jones N P,Singh L.Inter-relation among flutter derivatives[J].J Wind Eng Indus Aerodynamic,1997,69-71:829-837.
[21]	XU Xu,CAO Zhi-yuan.New expressions of nonlinear aerodynamic for ces in civil engineering[A].In:Proceedings of the 3rd Int Conf on Nonlinear Mech(ICNM-Ⅲ)[C].Shanghai:Shanghai University Press,Aug,1998,396-401.
[22]	徐旭,曹志远.气动耦合扭转非线性振动的稳定性分析[J].非线性动力学学报,1999,6(3):228-234.

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柔长结构气固耦合的线性与非线性气动力理论

作者简介: 徐旭(1968- ),男,江苏南通人,讲师,博士,主要从事固体力学和柔性结构风致响应研究.

计量

出版历程

Linear and Nonlinear Aerodynamic Theory of Interaction Between Flexible Long Structure and Wind

计量

出版历程

目录

作者简介:
徐旭(1968- ),男,江苏南通人,讲师,博士,主要从事固体力学和柔性结构风致响应研究.