Abstract
The present paper summarizes developments of numerical matrix methods on the higher order analysis of spatial coupler curves generated by spatial mechanisms. Previously introduced differential displacement matrices and the newly introduced purely geometrical matrices are investigated as “operators” in the matrix operational method. The two methods are compared, and numerical examples for each of the methods are given. Without restriction to any particular spatial mechanism, or any special coupler point, the methods provide a procedure for obtaining the high-order characteristics of coupler curves such as curvature, torsion and spatial center of curvature.
Published Version
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