A Dynamic Load Identification Method for a Multiple DOF Vibration System in Time Domain
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摘要: 为了解决复杂机械结构输入载荷难以直接测量的问题，基于结构动力学理论，应用Duhamel积分，推导了一种单自由度振动系统动载荷时域识别方法；在此基础上，通过模态坐标变换法，将多自由度振动系统运动方程解耦，以系统加速度响应作为输入，建立了一种多自由度振动系统动载荷识别的时域方法与模型。以一个多自由度的弹簧阻尼系统为对象，研究了载荷识别模型同时在正余弦组合激励、随机激励、三角脉冲激励等三种载荷形式下的稳定性和精确性。研究结果表明：在测量响应无噪声的情况下，载荷识别模型对三种激励的识别均具有很高的精度，识别结果与原始载荷相关系数达到0.99；在测量响应含有30%随机噪声的情况下，三种载荷的识别结果依然有很高的识别精度，相关系数均在0.97以上。Abstract: In order to solve the problem that it is difficult to directly measure the input load of complex mechanical structures, a method for dynamic load time domain identification of a single DOF vibration system was derived by using Duhamel integration based on the theory of structural dynamics. On this basis, the equation of motion of a multiple DOF vibration system was decoupled by modal coordinate transformation, and then the load identification model and method for the multiple DOF vibration system were established. Taking a multiple DOF spring-damping system as object, the stability and accuracy of the load identification model under three kinds of load modes including sine and cosine combined excitation, random excitation and triangular pulse excitation were verified. The results showed:when the measured response was noiseless, the load identification model had high accuracy for the identification of the three kinds of excitation while the correlation coefficient between the identification results and the original loads reached 0.99; When the measured response contained 30% random noise, the identification results still had high recognition accuracy while the correlation coefficient between the identification results and the original loads reached 0.97.
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