Abstract：web-offset press is a kind of coupling nonlinear dynamic system.We use the lumped mass method,Newton's second law,the differential equations and series theory and method to establish the gear system nonlinear dynamic modeling of web-offset printing machine wherein the time-varying meshing stiffness,backlash,dynamic transmission error and other nonlinear factors were considered.the concept of general time-state space comprising of state variables,control variable and time t is established.Then the model of web-offset printing machine can be transformed into a state equation of nonlinear system.In order to solve the state equation of nonlinear control systems,at the operation point of general time-state space,the right side of the state equation can be expanded as Taylor series about time.Then the series solution of the nonlinear control state equation,for which the solution is expression in time series,can be obtained by using direct-integrating approach.Then we use Matlab to simulate the equation of the web-offset printing machine's gear system.We obtain the curves of the relationship of gear's angular velocity and time and the relationship of angular acceleration and time.we contrast these curves and the facts.the contrast result verifies the validity of the dynamic model and the analytic solution of the system equation.
赵伟, 曹少中, 孙富春, 晋振杰, 王明道. 胶印机齿轮系统非线性模型直接积分解法[J]. 电子学报, 2019, 47(6): 1267-1271.
ZHAO Wei, CAO Shao-zhong, SUN Fu-chun, JIN Zhen-jie, WANG Ming-dao. Direct-Integrating Approach for Solving State Equation of the Nonlinear Dynamics Model of Gear Systems for Offset Press. Acta Electronica Sinica, 2019, 47(6): 1267-1271.
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2019, Vol. 47 
