参强联合作用非线性结构动力学实验建模

搭建以L 型梁为实验研究对象的参强联合作用多自由度非线性振动实验系统, 将增量谐波平衡非线性识别理论运用到实验建模方法中, 建立了L 型梁的动力学控制方程. 通过对不同激励频率和不同响应情况下的数值模拟与实验数据的比较, 验证了基于增量谐波平衡识别的实验建模方法对多自由度参强联合作用非线性动力学结构的有效性, 以及动力学控制方程的普适性.

RESEARCH OF DYNAMIC EXPERIMENTAL MODELING FOR NONLINEAR STRUCTURE UNDER PARAMETRIC AND FORCED EXCITATION

Incremental harmonic balance nonlinearity identification (IHBNID) method has already been applied to the experimental modeling method for single-degree-of-freedom dynamical equation and shows reasonable match between numerical simulation and experimental system. This paper aims to apply the IHBNID to multi-degree-of-freedom nonlinear parametric and forced excitation vibration system. So the experimental platform of L-shape beam system is set up and the dynamical equation of the beam is built with the experimental modeling method and the IHBNID. The result of numerical simulation shows fairly good compatibility with experimental system on qualitative and quantitative aspects. This theory including experimental modeling method and the IHBNID demonstrates that it also can be applied to experimental systems with variable frequencies and motions, such as the period-doubling motion.