关键词: 非线性振动, 多维频率响应函数, 谱分析, 参数识别

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