MATHEMATICAL APPROACH TO AUTOMATIC DESIGN OF FIXTURES: ANALYSIS AND SYNTHESIS.
Journal
American Society of Mechanical Engineers, Production Engineering Division (Publication) PED
Journal Volume
25
Pages
11-27
Date Issued
1987
Author(s)
Abstract
A mathematical theory of automatic design of fixtures for general prismatic parts has been developed using screw theory and statics. The following functions of fixtures are analyzed: resting equilibrium, deterministic locating, clamping equilibrium and total constraint. The synthesis of fixtures is approached by decomposing the problem into two nearly decomposable subproblems. The subproblems are dealt with in an algebraic reasoning space taking into consideration their interactions. By this theory, locating points and clamping points and forces are generated automatically for any polygon support.
Other Subjects
MATHEMATICAL TECHNIQUES - Algebra; AUTOMATIC DESIGN; CLAMPING STABILITY; DETERMINISTIC LOCATING; GENERAL PRISMATIC PARTS; SCREW THEORY; SIMULTANEOUS LINEAR INEQUALITIES; TOOLS, JIGS AND FIXTURES
Type
conference paper