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随着高层建筑高度的增加和自振频率的降低,二阶振型对高层建筑风振响应的贡献增大。通过大量算例分析了二阶振型对高层建筑横风向风振响应的贡献,计算结果表明,二阶振型对超高层建筑横风向动力位移响应的贡献较小,但是对高层建筑横风向加速度响应的贡献不容忽视,在对超高层建筑抗风舒适度评估时,应该考虑二阶振型的贡献。在此基础上,基于风洞试验数据和随机振动理论,建立了考虑二阶振型贡献的矩形高层建筑横风向风振响应简化计算式。将提出的简化式计算结果与积分计算结果比较,其误差在5%以内,证明了该计算式具有较高的精度。
With the increase of the height of tall buildings and the decrease of natural frequency, the contribution of second-order mode shapes to the wind-induced vibration response of tall buildings increases. A large number of examples are used to analyze the contribution of second-order mode shapes to the wind-induced vibration response of high-rise buildings. The results show that the second-order mode shapes contribute less to the dynamic response of transversal winds to superstructures. However, The contribution of the response can not be ignored. The contribution of the second-order modes should be considered when evaluating wind-comfort comfort of super-tall buildings. Based on the wind tunnel test data and stochastic vibration theory, a simplified calculation formula of wind-induced vibration response of rectangular tall buildings considering the contribution of second-order mode shapes is established. The proposed simplified formula is compared with the result of integral calculation. The error is less than 5%, which proves that the formula has higher accuracy.