含偏心高层建筑风致弯扭耦合振动研究

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振动与冲击 ›› 2011, Vol. 30 ›› Issue (4) : 236-240.

论文

含偏心高层建筑风致弯扭耦合振动研究

沈平川 ; 王国砚; 张方

作者信息 +

On Wind Induced Bending-torsional Coupled Vibrations of High-rise Buildings with Bi-asymmetric Cross Sections

Shen Pingchuan ; Wang Guoyan ; Zhang Fang

Author information +

文章历史 +

摘要

摘要针对偏心高层建筑风致弯扭振动问题，采用Euler-Bernoulli梁模型，选择建筑截面刚度中心为参考坐标原点，坐标x轴平行于风向角，按照双向弯扭耦合振动理论，求取振型和自振频率；然后以随机振动理论为基础，发展了连续梁模型的三维风振理论，给出了风致弯扭耦合振动时顶层角点加速度响应表达式。针对具体算例，结合实际风洞试验拟合数据，运用本文方法进行计算，并与原文献计算结果比较，分析了误差来源；并研究了刚度中心、质心偏离对建筑自振频率、顶层角点加速度响应的影响。

Abstract

Abstract: This paper deals with wind-induced bending-torsional coupled vibrations of high-rise buildings with bi-asymmetric cross sections. The high-rise buildings are modeled as Euler-Bernoulli beams. The origin of the reference point of each cross section is chosen coincident with stiffness center of the cross section and X axis is parallel to wind directions. Natural frequencies and mode shapes of the bending-torsional coupled vibrations are calculated first; then a method for wind-induced 3D bending-torsional coupled vibrations of the beam model is developed base on stochastic vibration theory, and the expressions of top rise corner acceleration response are presented. An illustrative example is given and the results of this paper are compared with those from other related references. The effect of position of stiffness center and mass center on natural frequencies and acceleration responses is discussed.

导出引用

沈平川; 王国砚; 张方. 含偏心高层建筑风致弯扭耦合振动研究[J]. 振动与冲击, 2011, 30(4): 236-240

Shen Pingchuan; Wang Guoyan; Zhang Fang. On Wind Induced Bending-torsional Coupled Vibrations of High-rise Buildings with Bi-asymmetric Cross Sections[J]. Journal of Vibration and Shock, 2011, 30(4): 236-240