高层建筑顺风向的脉动风荷载通常是基于准定常假设,由来流风速的功率谱密度函数和相干函数求得,其中风荷载和风速功率谱密度对气动导纳函数影响较大。依据10个典型高层建筑模型的同步测压风洞试验数据,对高层建筑各层高度处顺风向荷载的功率谱密度函数和气动导纳函数的特性进行分析,提出了顺风向荷载气动导纳函数的表达式,并针对公式中的具体参数进行了拟合。采用该表达式对一栋实际高层建筑的顺风向风致动态响应进行计算,并与其模型的试验结果进行对比。结果表明:高层建筑顺风向荷载的气动导纳曲线沿高度变化不大,但与其截面形状关系较大,曲线整体呈指数分布,当折减频率小于0.1时,气动导纳数值均接近于1.0。算例结果表明,采用所建议的气动导纳拟合式计算出的风致响应结果与风洞试验计算结果较为吻合,误差在10%以内。
Along-wind fluctuating loads on tall buildings are usually obtained by power spectra and coherence functions of inflow wind velocity based on the quasi steady theory. In this process, the aerodynamic admittance of along-wind loads plays an important role. Ten tall building models with different section shapes were tested using simultaneous pressure measuring technique in a wind tunnel. According to the test data, the power spectra and aerodynamic admittances of along-wind loads on every layer in the terrain category B and D were analyzed in detail and the fitting formula of the aerodynamic admittances was proposed. Parameters in this formula were given accordingly. The wind- induced responses of an actual high-rise building were calculated by the formula given here and random vibration method based on wind tunnel test data respectively. The results show that the aerodynamic admittances of along-wind loads on different height of the same tall building have little discrepancy and vary with the section shapes. All of the aerodynamic admittances satisfy the exponential law and approach 1.0 when the reduced frequency is less than 0. 1. The response using present aerodynamic admittance agrees well with one from the wind tunnel experiment and the error is less than 10%.