摘要
为建立人行荷载的傅里叶级数模型,采用新型微电子机械系统AH100B加速度传感器得到201人次、1 407条连续行走在楼板上的荷载曲线。根据姿态角形成的姿态矩阵可将载体坐标系下的三轴加速度转换到自然坐标系下,通过快速傅里叶变换计算人行荷载纵向、侧向和竖直方向前4阶动力荷载因子及相位角,得出用于解决结构振动舒适度问题的三向傅里叶级数荷载模型。采用小波变换得到单条荷载曲线的时频图,反映出单人在行走过程中行走频率的变异性。将荷载模型与已有的其他模型进行比较,验证了荷载模型的合理性及可行性,为解决大跨度结构人行激励产生的振动问题提供了参考。
The Fourier series loading model is extracted from 1 407 continuous induced-loading curves traced with a microelectronic mechanical system(AH100Bsensor)when 201 pedestrians are walking on the floor.First,the three-axis acceleration of carrier coordinate system is converted to natural coordinate system using attitude matrix formed by attitude angle.The dynamic load factors and phase angles in longitudinal,lateral and vertical direction of the first four orders are calculated using the Fast Fourier Transform to obtain the three-dimensional Fourier series loading models to solve the problem of structural vibration serviceability.Then,a single load time-spectrum plot is gained using the wavelet transform to reflect the variability of frequency during human walking.Finally,comparisons with the existing loading models prove that the proposed model is reasonable and feasible which can be provided for designers to design and analysis,especially for in the case of large span structures considering human excited vibration problems.
出处
《振动．测试与诊断》
EI
CSCD
北大核心
2017年第4期709-716,共8页
Journal of Vibration,Measurement & Diagnosis
基金
国家自然科学基金资助项目(51668042
51508257)
教育部长江学者创新团队资助项目(IRT13068)
甘肃省高等学校科研资助项目(2015B-34)
关键词
人行激励
姿态转换矩阵
傅里叶级数荷载模型
动力荷载因子
小波变换
pedestrian excitation
attitude transformation matrix
Fourier series loading model
dynamic loading factor
wavelet transform
