Direct-Integrating Approach for Solving State Equation of the Mechanics Model of Web Offset Press's Folding Mechanism with Clearance
LI Zhuang-ju1, TIAN Shun-yu1, ZHAO Wei2, CAO Shao-zhong2
1. School of Electrical and Information Engineering, Beijing University of Civil Engineering and Architecture, Beijing 100044;
2. Beijing Key Laboratory of Signal and Information Processing for High-End Printing Equipment, Beijing Institute of Graphic Communication, Beijing 102600, China
Abstract：To the nonlinear dynamic response of folder system caused by the pair clearance and the bearing stiffness,the hypothesis of rigid role and spring combination is put forward,and the dynamics model of folder mechanism with clearance is established.The dynamics model which contains second order partial differential equations is solved by direct-integrating approach method.The kernel of nonlinear system analysis is the solving of system state equation.Therefore,for a general nonlinear control system,the concept of general time-state space comprising of state variables,control variables,and Time t is introduced.In order to solve the state equation of nonlinear control system,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 the series,can be obtained by using direct-integrating approach.Dynamics model of the folder mechanism is a typical nonlinear system.Then we obtain the curves of input quantity and output quantity of this dynamics model by the direct-integrating method.
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LI Zhuang-ju, TIAN Shun-yu, ZHAO Wei, CAO Shao-zhong. Direct-Integrating Approach for Solving State Equation of the Mechanics Model of Web Offset Press's Folding Mechanism with Clearance. Acta Electronica Sinica, 2018, 46(12): 3037-3043.
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2018, Vol. 46 
