希尔伯特变换原理在扭转振动分析中应用的理论研究  

Theoretical Study on the Princople of Hilbert Transformation in Torsional Vibration Analysis

作　　者：张建勋[1] 俞智昆 

机构地区：[1]昆明理工大学建筑工程及力学系

出　　处：《昆明理工大学学报（理工版）》1998年第1期90-94,共5页Journal of Kunming University of Science and Technology(Natural Science Edition)

摘　　要：希尔伯特变换（ＴｈｅＨｉｌｂｅｒｔＴｒａｎｓｆｏｒｍ）可将一个一维时域函数（广义上可以是任意域的）转换为唯一对应的一个二维时域解析函数．在一定条件下，这个解析函数的模和相角就代表了原时间函数的包络特性及相位特性，即实现了对信号的幅值和相位解调．当回转系统产生扭转振动或瞬时回转振荡时，所检测到的振动信号和回转编码脉冲会产生幅、相调制．利用希尔伯特变换技术对其进行解调，就能准确地分离出扭振及瞬时振荡的全过程．A one demensional time function (in a broad sense ,it can mean any dimensional function)can be transformed into a two dimensional time analytic function ,which only corrsponds with the preceeding function by Hilbert transform,Umder given comditions ,the modulus and phase of this function can represent the characteristics , i.e the amplitude and phase of a signal can bedemodulated.When a torsional vibration of gyroscpic oscillation by torsinal happens ,the vibration signal and the encoder signal of gyration detected by is can be modulated .Demodulating the amplitude and phase modulation with Hilbert tramsform,we canaccurately separate the process torsional vibration and instantaneous oscillation.

关 键 词：希尔伯特变换 扭转振动 相位调制 检测 

分 类 号：O329[理学—一般力学与力学基础]