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Mathematical modelling of translational motion of rail-guided cart with suspended payload
作者姓名:MITREV  Rosen
作者单位:Department of
摘    要:In this paper modelling of the translational motion of transportation rail-guided cart with rope suspended payload is considered. The linearly moving cart,driven by a travel mechanism,is modelled as a discrete six degrees of freedom (DOF) dynamic system. The hoisting mechanism for lowering and lifting the payload is considered and is included in the dynamic model as one DOF system. Differential equations of motion of the cart elements are derived using Lagrangian dynamics and are solved for a set of real-life constant parameters of the cart. A two-sided interaction was observed between the swinging payload and the travel mechanism. Results for kinematical and force parameters of the system are obtained. A verification of the proposed model was conducted.

关 键 词:平移运动  悬浮载荷  摇动载荷  数学建模
收稿时间:15 March 2007
修稿时间:2007-03-152007-04-23

Mathematical modelling of translational motion of rail-guided cart with suspended payload
MITREV Rosen.Mathematical modelling of translational motion of rail-guided cart with suspended payload[J].Journal of Zhejiang University Science,2007,8(9):1395-1400.
Authors:Mitrev Rosen
Institution:(1) Department of Engineering Logistics, Material handling and Construction Machines, Technical University of Sofia, Sofia, 1000, Bulgaria
Abstract:In this paper modelling of the translational motion of transportation rail-guided cart with rope suspended payload is considered. The linearly moving cart,driven by a travel mechanism,is modelled as a discrete six degrees of freedom (DOF) dynamic system. The hoisting mechanism for lowering and lifting the payload is considered and is included in the dynamic model as one DOF system. Differential equations of motion of the cart elements are derived using Lagrangian dynamics and are solved for a set of real-life constant parameters of the cart. A two-sided interaction was observed between the swinging payload and the travel mechanism. Results for kinematical and force parameters of the system are obtained. A verification of the proposed model was conducted.
Keywords:Transportation rail-guided cart  Travel mechanism  Swinging payload  Discrete dynamical model  Mathematical model
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