高维非线性振动系统参数识别

摘要

将增量谐波平衡非线性识别推广到高维振动系统，推导了基于增量谐波平衡的多自由度非线性系统的识别方程．针对一个两自由度系统进行了数值模拟计算，讨论了系统在单周期、倍周期和混沌运动状态下的参数识别，以及噪声对识别结果的影响，验证了增量谐波平衡非线性识别在多自由度系统中的有效性．结果表明，该方法具有较高的计算效率和识别精度，以及良好的抗噪能力．%The incremental harmonic balance nonlinear identification （IHBNID） is extended to high-dimensional nonlinear vibration system. The identification equation of multi-degree-of-freedom nonlinear dynamic system is derived. Numerical simulation on a two-degrees-of-freedom nonlinear system example, based on the IHBNID, was carried out on the period-l, the period-doubling and the chaotic motions. The effect of noise on the identification parameters is analyzed. The effectiveness of the IHBNID is verified for multi-degree-of-freedom nonlinear dynamic system. The simulating results show that the proposed method has high accuracy and efficiency, and can improve the antinoise ability.