改进滞变阻尼模型的时域计算方法  

TIME-DOMAIN CALCULATION METHOD BASED ON IMPROVED HYSTERETIC DAMPING MODEL

作　　者：孙攀旭 杨红[1,2] SUN Pan-xu;YANG Hong(School of Civil Engineering,Chongqing University,Chongqing 400045,China;Key Laboratory of New Technology for Construction of Cities in Mountain Area of the Ministry of Education,Chongqing University,Chongqing 400045,China)

机构地区：[1]重庆大学土木工程学院,重庆400045 [2]重庆大学山地城镇建设与新技术教育部重点实验室,重庆400045

出　　处：《工程力学》2021年第4期8-19,共12页Engineering Mechanics

基　　金：国家重点研发计划项目(2016YFC0701506);重庆市研究生科研创新项目(CYB18036)。

摘　　要：依据基于复阻尼模型的滞变阻尼模型,创建了改进滞变阻尼模型在复数域内的拉氏运动方程以及对应的时域运动方程。改进滞变阻尼模型克服了复阻尼模型的时域发散问题,并能保证有阻尼自振频率随损耗因子增大而减小。依据外激励加速度的识别方法,结合改进滞变阻尼模型的时域运动方程特点,分别提出了基于傅里叶变换的时域计算方法和基于希尔伯特-黄变换的时域计算方法。算例分析表明:基于傅里叶变换的时域计算方法是一种全局过程的计算方法,可计算任意时刻的结构动力响应,但计算量大;基于希尔伯特-黄变换的时域计算方法是一种时域逐步计算方法,计算量小,适用范围更广,但计算误差不易估计。According to the hysteretic damping model based on a complex damping model, the Laplace equation of motion of the improved hysteretic damping model in a complex domain and the corresponding time domain equation of motion are established. The improved hysteretic damping model overcomes the time-domain divergence of the complex damping model and can ensure that damped natural frequency decreases with the increase of a loss factor. Combined with the recognition method of external excitation accelerations and the characteristics of the improved hysteretic damping time-domain motion equation, the time-domain calculation methods based on Fourier transform and Hilbert Huang transform are proposed, respectively. The analysis results of the cases show that the time-domain calculation method based on Fourier transform is realized in a global process, the structure dynamic response can be calculated at any time although its computation cost is large. The time-domain calculation method based on Hilbert Huang transform is time-domain step-by-step method, which has a small amount of calculation and a wider range of application though the calculation error is not easy to estimate.

关 键 词：复阻尼 滞变阻尼 时域计算 傅里叶变换 希尔伯特-黄变换 

分 类 号：TU311.3[建筑科学—结构工程]