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一类基于FARIMA过程的电梯导轨振动模型
引用本文:安德洪,丁春蕾,刘嘉焜,许树荆.一类基于FARIMA过程的电梯导轨振动模型[J].机械设计,2004,21(4):31-33,41.
作者姓名:安德洪  丁春蕾  刘嘉焜  许树荆
作者单位:1. 天津大学,管理学院,天津,300072;天津市华苑电力有限公司,天津,300384
2. 天津大学,理学院,天津,300072
3. 天津市华苑电力有限公司,天津,300384
基金项目:南开大学天津大学刘徽应用数学中心资助项目 (T0 8),天津市华苑电力有限公司资助项目
摘    要:研究电梯运行中导轨的随机振动时,将电梯运行中测得的导轨间距离DGB看作一时间序列,发现具有长相关性.常用的整数自回归模型、分数噪声模型都只能片面地描述该类数据的短相关性或长相关性。给出了利用FARINA(自回归分数整合滑动平均模型)拟合DGB的方法,该模型可同时刻画实测数据DGB的长相关和短相关特性,并通过对实测数据的实验,证明了模型的优效性。

关 键 词:电梯  导轨  随机振动  长相关性  整数自回归模型  自回归分数整合滑动平均模型  FARIMA
文章编号:1001-2354(2004)04-0031-03

A kind of vibration model of elevator's guide based on FARIMA process
AN De-hong.A kind of vibration model of elevator''''s guide based on FARIMA process[J].Journal of Machine Design,2004,21(4):31-33,41.
Authors:AN De-hong
Affiliation:AN De-hong~
Abstract:While the stochastic vibration of guide during the movement of elevator is being studied, the data of distance between guides (DGB) measured when the elevator is in motion is looked upon as a time series, and it has been found that the data is possessing a long dependence. The commonly used integer autoregressive model and fractional noise model could only describe one-sidedly the short dependence or long dependence of this kind of data. A method utilizing the fractional autoregressive integration moving (sliding) average (FARIMA) model to match the DGB was presented. This model could depict simultaneously both the long and short dependences of the actually measured data (DGB), and the property of optimization and effectiveness of this model was verified by means of an experiment on the measured data.
Keywords:stochastic vibration  long dependence  integer autoregressive model  fractional autoregressive integration moving average (FARIMA) model
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