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2 Bałchanowski J.

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General method of structural synthesis of parallel mechanisms

Bałchanowski J.

Archives of Civil and Mechanical Engineering

2016

Vol. 16, no. 3

256--268

This paper presents a method of the structural synthesis of spatial or planar parallel mechanisms. The method exploits the combined strengths of the Baranov method and the intermediate chain method. It makes possible to create complete sets of parallel mechanism solutions. Relations for the number and structure of branches are provided. The successive steps in the procedure for generating a structural form of a closed branch, the opening of the branch, the way of constructing a parallel mechanism from branches with negative and zero degree of freedom (DoF) and the connection of the drives separated from the branches are described. The proposed method of structural synthesis was applied to generate a complete set of branch solutions, written using numerals representing the number of links in a branch and the number of kinematic pairs of proper class, and to demonstrate the possibilities of creating mechanisms with a different number of branches. The end result was a complete set of possible spatial parallel mechanism solutions for the required mobility.

Topology and analysis of the singularities of a parallel mechanism with three degrees of freedom

Bałchanowski J.

Archives of Civil and Mechanical Engineering

2014

Vol. 14, no. 1

80--87

This paper describes the topology, geometry and kinematics of a translational parallel mechanism with three degrees of freedom. Basic topological and geometric conditions for ensuring exclusively translational motion of the driven link relative to the base are formulated. Fundamental relations for the kinematic analysis of the system are introduced. The equations are needed to describe and solve the direct and inverse problem of the kinematics and to provide a basis for the analytical definition of the mechanism's singular configurations and their determination.