噪声与振动控制2025，Vol.45Issue(4)：32-38,7.DOI:10.3969/j.issn.1006-1355.2025.04.006
单级齿轮系统混沌运动及其径向基函数神经网络控制
Neural Network Control of Chaotic Motion and Radial Basis Function of a Single-stage Gear System
摘要
Abstract
In order to realize the effective control of chaotic motion in a 3-DOF single-stage spur gear system,the dy-namics model of the system was established by using the concentrated mass method,and the law of transferring the periodic motion to chaotic motion in the parameter interval was obtained by solving the equation with the 4th or 5th order Runge-Kut-ta method.For the chaotic motion in a specific parameter region,the radial basis function neural network(RBFNN)control-ler was constructed with the perturbation amount of the control parameters as the output and the Euclidean distance of the points on the Poincaré cross-section as the input,and the parameters of the RBFNN controller were optimized using a gravi-tational search algorithm that improved the local search capability and the speed of searching for the optimum,so as to real-ize the effective control of the system's chaotic-to-periodic motion.The results show that the RBFNN control method is not limited by the Jacobian matrix and flow shape of the system,and is more universal in engineering.关键词
振动与波/单级齿轮传动系统/混沌控制/径向基函数神经网络/万有引力搜索算法Key words
vibration and wave/single-stage gear transmission system/chaos control/radial basis function neural net-work/gravitational search algorithm分类
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王瑞邦,田亚平,张峰,卢杭,王建勤,杨江辉..单级齿轮系统混沌运动及其径向基函数神经网络控制[J].噪声与振动控制,2025,45(4):32-38,7.基金项目
甘肃省科技厅计划资助项目(21JR7RA316,20YF8WA043) （21JR7RA316,20YF8WA043）
国家自然科学基金资助项目(12062008,11962011) （12062008,11962011）
