桥梁断面非线性自激气动力经验模型
doi: 10.3969/j.issn.0258-2724.2013.02.013
Empirical Mathematical Model for Nonlinear Motion-Induced Aerodynamic Force of Bridge Girder
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摘要: 为探讨桥梁断面的非线性自激气动力,基于平衡位置的Taylor级数展开式,建立了简谐运动下桥梁断面非线性自激气动力模型,获得了其复数和实数表达式,并说明了表达式中非线性气动参数的识别方法.该模型反映了简谐运动下桥梁断面非线性自激气动力的谐波叠加特性,可应用于桥梁的非线性气动稳定性分析.最后,应用该模型对某桥梁断面在简谐运动下的非线性自激气动力风洞试验时程数据进行了拟合.拟合结果表明,两者的误差在3%以内,验证了该模型的正确性.Abstract: In order to probe into the nonlinear motion-induced aerodynamic force (MIAF) of bridge girder, based on Taylor expansion of the equilibrium position, a nonlinear MIAF mathematical model for bridge girder under harmonic motions was established, and the plural and real expressions were deduced. The identification method of nonlinear aerodynamic parameters in the expressions was introduced. This mathematical model includes the properties of nonlinear MIAF composing of multiple harmonic components, and can be applied to the analysis of nonlinear aerodynamic stability of bridges. An application shows that the maximal error between the wind tunnel test results of a streamline box girder and fitting ones based on the model is less than 3%to verify the validity of the mathematical model.
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SCANLAN R H, TOMKO J. Airfoil and bridge deck flutter derivatives[J]. ASCE Journal of Engineering Mechanics, 1971, 97(6): 1717-1737. 陈政清,于向东. 大跨桥梁颤振自激气动力的强迫振动法研究[J]. 土木工程学报,2002,35(5): 34-41. CHEN Zhengqing, YU Xingdong. A new method for measuring flutter self-excited forces of long-span bridges[J]. China Civil Engineering Journal, 2002, 35(5): 34-41. FALCO M, CURAMI A, ZASSO A. Nonlinear effects in sectional model aeroelastic parameter identifica-tion[J]. Journal of Wind Engineering and Industrial Aerodynamics, 1992, 41/42/43/44: 1321-1332. DIANA G, BRUNI S, ROCCHI D. A numerical and experimental investigation on aerodynamic nonlinearity in bridge response to turbulent wind[C]//Proceedings of the Fourth European & Africa Conference on Wind Engineering. Prague: [s.n], 2005: 127-134. DIANA G, RESTA F, ZASSO A, et al. Forced motion and free motion aeroelastic tests on a new concept dynamometric section model of the Messina suspension bridge[J]. Journal of Wind Engineering and Industrial Aerodynamics, 2004, 92(6): 441-462. DIANA G, RESTA F, ROCCHI F, et al. Aerodynamic hysteresis: wind tunnel tests and numerical implementation of a fully nonlinear model for the bridge aeroelastic forces[C]//Proceedings of the 4th International Conference on Advance in Wind and Structural, Jeju, Korea: [s.n], 2008: 944-960. XU Xu, CAO Zhiyuan. New expressions of nonlinear aerodynamic forces in civil engineering[C]//Proceedings of ICNM-3. Shanghai: Shanghai University Press, 1998: 396-401. 徐旭,曹志远. 柔长结构气固耦合的线性与非线性理论[J]. 应用数学和力学,2001,22(12): 57-65. XU Xun, CAO Zhiyuan. Linear and nonlinear aerodynamic theory of interaction between flexible structure and wind[J]. Applied Mathematics and Mechanics, 2002, 22(12): 57-65. DIANA G, RESTA F, ROCCHI F. A new numerical approach to reproduce bridge aerodynamic non-linearities in time domain[J]. Journal of Wind Engineering and Industrial Aerodynamics, 2008, 96: 1871-1884. DIANA G, ROCCHI D, ARGENTINI T, et al. Aerodynamic instability of a bridge deck section model linear and nonlinear approach to force modeling[J]. Journal of Wind Engineering and Industrial Aerodynamics, 2010, 98: 363-374. WU T, KAREEM A. Modeling hysteretic nonlinear behavior of bridge aerodynamics via cellular automata nested neural network[J]. Journal of Wind Engineering and Industrial Aerodynamics, 2011, 99(4): 378-388 ZHANG X, XIANG H, SUN B. Nonlinear aerostatic and aerodynamic analysis of long-span suspension bridges considering wind structure interactions[J]. Journal of Wind Engineering and Industrial Aerodynamics, 2002, 90(9): 1065-1080. CHEN X, KAREEM A. Aeroelastic analysis of bridges: turbulence effects and aerodynamic non-linearities[J]. ASCE Journal of Engineering Mechanism, 2003, 129(8): 885-895.
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