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Nonlinear dynamics of a flexible mechanism with impact
Institution:1. School of Civil Engineering, Changsha University of Science and Technology, Changsha 410114, China;2. Key Laboratory of Safety Control for Bridge Engineering of the Ministry of Education, Changsha University of Science and Technology, Changsha 410114, China;3. School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, China;1. State Key Laboratory for Manufacturing Systems Engineering, Xi’an Jiaotong University, Xi’an 710049, PR China;2. Department of Mechanical and Aerospace Engineering, Hong Kong University of Science and Technology, Kowloon 999077, Hong Kong;1. Laboratoire de Tribologie et Dynamique des Systèmes, UMR CNRS 5513, École Centrale de Lyon, 36 avenue Guy de Collongue, 69134 Écully Cedex, France;2. Institut Universitaire de France, 75005 Paris, France;1. Department of Information Science and Technology, Jinan University, Guangzhou 510000, China;2. School of Electrical and Information, Jinan University, Guangzhou 510000, China
Abstract:The nonlinear dynamics of a slider-crank mechanism with a flexible rod is considered in this study. The flexible rod is modeled with lumped masses and periodically impacted by an external flexible sphere. The impact is modeled using a kinematic coefficient of restitution. Nonlinear dynamics tools are applied to analyze the simulated data captured from the connecting rod of the mechanism. The chaotic behavior of the system is analyzed. The stability of the motion is studied using the Lyapunov exponents. The dependence between the Lyapunov exponents and the corresponding angular velocity of the driver link of the mechanism is investigated.
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