The use of the screw theory to do constraint analysis is described. Screw theory uses a matrix representation to describe, for any mating features, the part's degrees of freedom (twist-matrix) and the directions along which the constraint reacts (wrench-matrix). From these screw-matrices it is possible to individuate the exact constraint conditions of parts into the assembly. Starting from the basics of this theory, how to get screw parameters (constrained directions and degrees of freedom) from screw-matrices is analyzed and how to make the constraint analysis for several serial and parallel constraint configurations is described. Finally, a MATLAB algorithm to analyze possible constraints and motions in assemblies with any complexity is presented.
How to Investigate Constraints and Motions in Assemblies by Screw Theory
GERBINO S;
2004
Abstract
The use of the screw theory to do constraint analysis is described. Screw theory uses a matrix representation to describe, for any mating features, the part's degrees of freedom (twist-matrix) and the directions along which the constraint reacts (wrench-matrix). From these screw-matrices it is possible to individuate the exact constraint conditions of parts into the assembly. Starting from the basics of this theory, how to get screw parameters (constrained directions and degrees of freedom) from screw-matrices is analyzed and how to make the constraint analysis for several serial and parallel constraint configurations is described. Finally, a MATLAB algorithm to analyze possible constraints and motions in assemblies with any complexity is presented.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
