摘要
将增量谐波平衡法应用到非线性系统的建模和参数识别中,针对Mathieu-Duffing方程,推导了利用增量谐波平衡原理识别参数激励非线性系统参数的方法.该方法改进了增量谐波平衡方法的推导过程,通过数值模拟对比研究了谐波平衡非线性识别(harmonic balance nonlinearity identification,HBNID)和增量谐波平衡非线性识别(incremental harmonic balance nonlinearity identification,IHBNID)的效果,验证了增量谐波平衡非线性识别的有效性.结果表明,增量谐波平衡非线性识别的计算效率较高,计算精度和抗噪能力都优于谐波平衡非线性识别.
In this paper,the incremental harmonic balance for nonlinearity identification（IHBNID） is presented for the modeling and parametric identification of nonlinear systems.The effects of harmonic balance nonlinearity identification（HBNID） and IHBNID are also studied and compared by using the numerical simulation. Considering the Mathieu-Duffing equation as an example,the effectiveness of the IHBNID can be verified. With the aid of the new method,the derivation procedures of the incremental harmonic balance method are simplified.The results show that the IHBNID is highly efficient for computation,and its performances excel in those of the HBNID,such as the computation accuracy and the noise resistance.
出处
《力学学报》
EI
CSCD
北大核心
2010年第2期332-336,共5页
Chinese Journal of Theoretical and Applied Mechanics
基金
国家自然科学基金资助项目(10672141)~~
关键词
非线性识别
增量谐波平衡
参数激励
非线性系统
system modelling
nonlinearity identification
incremental harmonic balance
parameter excitation
nonlinear systems
