Publisher : The Korean Society of Mechanical Engineers
DOI : 10.22634/KSME-A.1918.104.22.168
Title & Authors
Symbolic Generation of Dynamic Equations and Modeling of a Parallel Robot Song, Sung-Jae; Cho, Byung-Kwan; Lee, Jang-Moo;
A computer program for automatic deriving the symbolic equations of motion for robots using the programming language MATHEMATICA has been developed. The program, developed based on the Lagrange formalism, is applicable to the closed chain robots as well as the open chain robots. The closed chains are virtually cut open, and the kinematics and dynamics of the virtual open chain robot are analyzed. The constraints are applied to the virtually cut joints. As a result, the spatial closed chain robot can be considered as a tree structured open chain robot with kinematic constraints. The topology of tree structured open chain robot is described by a FATHER array. The FATHER array of a link indicates the link that is connected in the direction of base link. The constraints are represented by Lagrange multipliers. The parallel robot, DELTA, having three-dimensional closed chains is modeled and simulated to illustrate the approach.
Symbolic Equation of Motion;Virtual Cut;Constraint;Parallel Robot;Lagrange Formalism;Lagrange Multiplier;