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KINEMATICS OF THE EPICYCLICAL MINUTEMAN (运动学的EPICYCLICAL民兵)
U.P.B. Sci. Bull., Series D, Vol. 73, No. 1, 2011 ISSN 1454-2358
KINEMATICS OF THE EPICYCLICAL MINUTEMAN
COVER DRIVE
Stefan STAICU1
Articolul stabileşte relaţii matriceale pentru analiza cinematică a unui tren
de roţi dinţate cu un grad de libertate. Mecanismul epiciclic Minuteman este un
sistem cu patru elemente mobile şi trei cuplaje prin roţi dinţate controlate de un
motor electric. Cunoscând mişcarea de rotaţie a efectorului, problema de
cinematică inversă este rezolvată printr-un procedeu bazat pe relaţii de
conectivitate. În final, se obţin câteva grafice pentru unghiurile de rotaţie, vitezele
unghiulare şi acceleraţiile unghiulare de la intrarea şi ieşirea din sistemul mecanic.
Matrix relations for the kinematics analysis of a 1-DOF planetary gear
train are established in the paper. The epicyclical mechanism of the Minuteman
cover drive is a system with four moving links and three gear pairs controlled by
one electric motor. Knowing the rotation motion of the effector, the inverse
kinematics problem is solved based of the connectivity relations. Finally, some
simulation graphs for the input and output angles of rotation, angular velocities and
angular accelerations are obtained.
Keywords: Connectivity relations; Gear train; Kinematics
List of symbols
qk ,k −1 : orthogonal relative transformation matrices from the frame xk −1y k −1z k −1 to
following frame x y z
k k k
u , u , u : three orthogonal unit vectors
1 2
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