Premium
Optimal path synthesis of the four‐bar mechanism
Author(s) -
Iztok Ciglaric,
Krasna Simon,
Prebil Ivan
Publication year - 2001
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200108115106
Subject(s) - mechanism (biology) , four bar linkage , bar (unit) , trajectory , hinge , path (computing) , control theory (sociology) , link (geometry) , point (geometry) , motion (physics) , work (physics) , computer science , transformation (genetics) , mathematics , physics , geometry , classical mechanics , engineering , mechanical engineering , artificial intelligence , chemistry , biochemistry , control (management) , quantum mechanics , astronomy , meteorology , gene , programming language , computer network
Four‐bar mechanisms are widely used in different devices as leading mechanisms that have to provide desired and often complicate motion and sustain substantial forces, accelerations and jerks. As the four‐bar mechanism seems to be a simple device, it is well known that dimensional synthesis is an exacting piece of work. One has to determine the proportions of link lengths needed to accomplish the specified motion and force transformation. Paper discusses optimal synthesis of four‐bar mechanism. The objective of this approach is to determine the optimal values of the mechanism link lenghts, to minimize the difference between the trajectory “T” of the arbitrary point C on the mechanism coupler link and prescribed trajectory “P”, while hinge forces have to remain within the prescribed values.