Tolerance Analysis by Polytopes: Taking into account degrees of freedom with cap half-spaces
Idioma
en
Article de revue
Este ítem está publicado en
Computer-Aided Design. 2015, vol. 62, n° C, p. 112--130
Elsevier
Resumen en inglés
To determine the relative position of any two surfaces in a system, one approach is to useoperations (Minkowski sum and intersection) on sets of constraints. These constraints aremade compliant with half-spaces of R^n where ...Leer más >
To determine the relative position of any two surfaces in a system, one approach is to useoperations (Minkowski sum and intersection) on sets of constraints. These constraints aremade compliant with half-spaces of R^n where each set of half-spaces defines an operandpolyhedron. These operands are generally unbounded due to the inclusion of degrees ofinvariance for surfaces and degrees of freedom for joints defining theoretically unlimiteddisplacements. To solve operations on operands, Minkowski sums in particular, "cap" halfspacesare added to each polyhedron to make it compliant with a polytope which is bydefinition a bounded polyhedron. The difficulty of this method lies in controlling the influenceof these additional half-spaces on the topology of polytopes calculated by sum or intersection.This is necessary to validate the geometric tolerances that ensure the compliance of amechanical system in terms of functional requirements.< Leer menos
Palabras clave en inglés
Polytope
Polyhedron
Minkowski sum
Degree of freedom
Cap half-spaces
Tolerance analysis
Orígen
Importado de HalCentros de investigación