多项式非线性系统的多维频率响应函数

ACTA AERONAUTICAET ASTRONAUTICA SINICA ›› 1993, Vol. 14 ›› Issue (9): 460-466.

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MFRF OF POLYNOMIAL NON-LINEAR SYSTEMS

Zhang Xi-nong, Zhang Jing-hui

Department of Engineering Mechanics, Xi'an Jiaotong University, Xi'an, 710049

Received:1992-03-02 Revised:1992-12-07 Online:1993-09-25 Published:1993-09-25

Abstract

Abstract: Multi-dimension Frequency Response Function (MFRF) is applied to the spectrum analysis of polynomial non-linear dynamical system with multi-degree freedom. The structural form and derivative manner of MFRF for polynomial non-liear dynamical system are presented in detail. It's proved that the higher order MFRF of polynomial non-linear dynamical system can be completely expressed by order-1 frequency response function of it. The poles of MFRF are discussed. A foundation is laid for parameter identification and response spectrum analysis of non linear systems.

Key words: non-linear vibration, multi-dimension frequency response function, spectrum analysis, parameter identification

Zhang Xi-nong;Zhang Jing-hui. MFRF OF POLYNOMIAL NON-LINEAR SYSTEMS[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 1993, 14(9): 460-466.

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MFRF OF POLYNOMIAL NON-LINEAR SYSTEMS

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