Computing method about wind vibration response of extra-high buildings based on Wind-Gravity Coupling Effect
LOU Wenjuan1 ZHONG Zhenyu1,2
1. College Of Civil Engineering And Architecture, Zhejiang University, Hangzhou 310058, China;
2. Zhejiang Industry Polytechnic College, Shaoxing 312000,China
Abstract：Wind-Gravity Coupling Effect(WGCE) is a phenomenon that dynamic characters of tall and slender structure are changed by wind and gravity. In order to study mechanism of WGCE, the geometric nonlinear dynamic equation is concluded. The equation of load along wind can be divided into average wind equation and pulse wind equation. Pulse wind equation is a nonlinear equation whose parameters are relative to the displacement calculated from the average wind equation. Equivalent linear random vibration theory is used to solve the equation. The results show that gravity-rigidity ratio is an important factor to WGCE. Response variation of displacement，velocity , acceleration on the top of structure and moment ,shear at the bottom of structure increases with gravity-rigidity ratio while variation of shear at the bottom of structure does not change.
[1] JGJ99-98，高程民用建筑钢结构技术规程[S]. 北京：中国建筑科学研究院，1998.
JGJ99-9, Technical specification for steel structure of tall buildings[S]. Beijing: China Academy of Building Research, 1998.
[2] GB50010-2010，建筑抗震设计规范[S].北京：中国建筑科学研究院，2010.
GB50010-2010, Code for seismic design of buildings[S]: Beijing: China Academy of Building Research, 2010.
[3]JGJ3-2010，高层建筑混凝土结构技术规程[S]. 北京：中国建筑科学研究院，2010.
JGJ3-2010, Technical specification for concrete structures of tall building[S]. Beijing: China Academy of Building Research, 2010.
[4]马晓东，吴建华，何锦江,等. 变截面单管塔考虑风荷载、重力－位移（P-Δ）二阶效应的半解析法[J]. 制冷空调与电力机械，2008，121(29):84-87.
MA Xiao-dong, WU Jian-hua, HE Jing-jiang et al. Semi-analytic method of considering P-Δ effect for variable cross-section steel pole[J]. Refrigeration Air Conditioning & Electric Power Machinery, 2008, 121(29):84-87.
[5]陆天天, 赵昕, 丁吉民等. 上海中心大厦结构整体稳定性分析及巨型柱计算长度研究[J]. 建筑结构学报, 2011,32 (7): 8-14.
LU Tiantian, Zhao Xin, Ding Jiemin et al.. Stability analysis of the Shanghai Tower and reseach on effective length of super column[J]. Journal of Building Structures, 2011,32(7):8-14.
[6]何勇. 随机荷载作用下海洋柔性结构非线性振动响应分析方法[D]. 浙江大学，2007.
HE Yong. Study on the non-linear response of flexible offshore structures under stochastic loading[D]. Zhejiang University ,2007.
[7]Lutes L. D. Approximate technique for treating random vibration of hysteretic system[J]. J. Acoust. Soc. AQm., 1970, 48(1):299-306.
[8]Caughey, T. K. On the response of nonlinear oscillators to stochastic excitation[J]. Prob. Engrg. Mech., 1986,1(1)2-4.
[9]ZHU W. Q, YU J. S. The equivalent nonlinear system method[J]. Journal of Sound and Vibration, 1989,129(3):385-395.
[10]朱位秋，余金寿. 预测非线性系统随机响应的等效非线性系统法[J]. 固体力学学报，1989， 10(1)：34-44.
ZHU Wei-qiu, YU Jin-shou. Equivalent nonlinear system method for predicting response of nonlinear systems to random excitation[J]. Acta Mechanica Solida Sinica，1989， 10(1)：34-44.
[11]CAI G. Q, Lin Y. K. Anew approximate solution technique for randomly excited nonlinear oscillators[J]. Journal of Non-Linear Mechanics, 1988, 23:409-420.
[12]LIANG S. G., LIU S. C., ZHANG L. L., et al. Mathematical model of across wind dynamic loads on rectangular tall buildings[J]. Journal of Wind Engineering and Industrial Aerodynamic, 2002, 90(12-15):1757-1770.
[13]全涌.超高层建筑气动弹性模型风洞实验研究[D]. 上海：同济大学，1999.
QUAN Yong. Reach on super-high rise buildings areoelastic model by wind tunnel test[D]. Shanghai: Tongji University ,1999.
[14] Davenport, A. G.. Gust loading factors[J]. Journal of the Structural Division, ASCE,1967, 93(3), 11–34.
[15]汪大海. 高层建筑顺风向静力等效风荷载及响应研究[D]. 武汉大学硕士论文，2005.
Wang Dahai. Research on along-wind static equivalent wind load of high-rise buildings[D].Wuhan: Wuhan University ,2005.
