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Dynamics modeling and simulation of a new nine-bar press with hybrid-driven mechanism
Hui Li
The Journal of Mechanical Science and Technology, vol. 22, no. 12, pp.2436-2444, 2008
Abstract : A novel hybrid-driven mechanical press for precision drawing is presented. This new press is composed of a ninebar
linkage which has two degrees of freedom determined by inputs from a dc constant speed motor and a dc servomotor.
Therefore, the generalized coordinates are the angular displacement of two cranks. The kinetic energy, potential
energy and generalized torques are analyzed. According to the equivalent circuit of the dc motor and the brushless
servomotor, their dynamical model and position negative feedback model are developed separately. Then, a dynamical
model for the hybrid-driven press is developed by using Lagrange¡¯s formulation. The dynamical equation is then transformed
into a system of first order equations. Six first order differential equations are obtained in the state variables. In
the end, the fourth fourth order Runge-Kutta method, an explicit method, is chosen as the integration technique of computer
simulation. Two motors¡¯ current, two cranks¡¯ position and two cranks¡¯ angular velocity are treated as unknowns
and the time response of the hybrid-driven press is obtained by integrating the system of first order equations through
time.
Keyword : Hybrid-driven mechanism; Press; Dynamic formulation; Computer simulation; Servomotor; Mechatronics |
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