非线性迟滞系统的参数分离识别  

SEPARABLY IDENTIFYING THE PARAMETERS OF NONLINEAR HYSTERETIC SYSTEMS

作　　者：陈乃立[1] 童忠钫[1] 

机构地区：[1]浙江大学

出　　处：《振动与冲击》1994年第4期7-14,共8页Journal of Vibration and Shock

摘　　要：迟滞振动系统的非线性恢复力通常包含三部分：（１）仅与位移ｙ（ｔ）有关的ｇＮ（ｙ）；（２）仅与速度ｙ（ｔ）有关的ｈＮ（ｙ）；（３）有记忆恢复力ｒ（ｔ）。当ｒ（ｔ）可用图１的双折线模型来表示时，在ｙ＝ｙ＝０点，ｒ（ｔ）＝±ｒｓ，为常数值。据此可将ｒ（ｔ）分离出来。而后，考虑到ｙ＝０，通常ｈＮ（ｙ）＝０；ｙ＝０时，通常ｇＮ＝（ｙ）＝０，又可以将ｇＮ（ｙ）和ｈＮ（ｙ）分离开来。识别时，将ｇＮ（ｙ）和ｈＮ（ｙ）分别用正交的函数项级数来逼近。分离识别和正交性使运算过程大大简化。识别时应用响应的Ｆｏｕｒｉｅｒ变换所得的频域函数，又增加了抗噪能力，提高了识别精度。The restoring force of a nonlinear hysteretic system usually consists of three parts:(1)the part gN(y) depending on the displacement y(t) only;(2) the part hN(y) depending on the velocity y(t) only;(3) the memory restoring force r(t).When r(t) can be represented graphically by the bilinear model Shown in Fig.1,at the point of,r(t)=±rs is a constant.Accordingly r(t)can be separated.Then Considering that when y=0 hN(y) is usually equal to zero and when y=0 gN(y) is usually equal to zero, gN (y) and hN(y) can be separated also.In identification process gN(y) and hN(y) are approached by orthogonal functional-term serieses respectively.The separable identification and orthogonality greatly simplify the calculation processes.In identification theapplication of function in frequency domain got from Fourier transform of the responses improves the noise-resistant ability and identification accuracy.

关 键 词：非线性 迟滞系统 参数识别 

分 类 号：O322[理学—一般力学与力学基础]