An efficient technique for optimizing attachments of spherical joints in spatial linkages

摘要: Abstract This paper presents a method well-suited to the automated computer optimization of structural attachment spherical joints in spatial linkages. The principle objective is determine an optimal joint such that opening angle minimized, thus socket will have its maximum ball retention capability. To use method, what required input-output displacement equation. Based on this relationship, and basic concepts analytical geometry, multivariable nonlinear function derived modified unconstrained type problem. Closed form solutions are not possible. A previous investigation suggested brute force search technique, which examines all possibilities order optimum. requires gross CPU time. employs numerical direct accelerated distance, proposed by Hooke Jeeves, minimize for given set linkage dimensions. amount has been reduced significantly. As illustrative examples we consider RSSR four-bar linkages, as check technique planar four bar linkage, whose optimized may be determined from trigonometric relations.