Workspaces of the Stewart platform in the 6D space of generalized coordinates


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Abstract

The kinematics and dynamics of the classical Stewart platform is studied. The platform is a rigid body supported by six rods of variable length. Well-known differential equations describing the motion of the platform are presented. The main attention is paid to an analysis of workspaces in the 6D space of generalized coordinates. The projections of these workspaces on spaces of lower dimension are found.

About the authors

G. A. Leonov

St. Petersburg State University

Author for correspondence.
Email: leonov@math.spbu.ru
Russian Federation, St. Petersburg, 199034

P. E. Tovstik

St. Petersburg State University

Email: leonov@math.spbu.ru
Russian Federation, St. Petersburg, 199034

T. M. Tovstik

St. Petersburg State University

Email: leonov@math.spbu.ru
Russian Federation, St. Petersburg, 199034

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