A new atlas for 8-bar kinematic chains with up to 3 prismatic pairs using Joint Sorting Code. (June 2018)

• Record Type: Journal Article
• Authors: Eleashy, Hasan
• Is Part Of: Mechanism and machine theory. Volume 124(2018)
• Page Start: 118
• Page End: 132
• Publication Date: 2018-06
• Subjects: Enumeration -- 8-bar -- Kinematic chains -- Prismatic pair -- Isomorphism detection; Machine theory -- Periodicals; Machinery -- Periodicals; Machines -- Périodiques; Génie mécanique -- Périodiques; Machine theory; Machinery; Periodicals; 621.81
• DOI: 10.1016/j.mechmachtheory.2018.02.006
• Languages: English
• ISSNs: 0094-114X

Abstract

Highlights: An efficient method to generate all solutions of 8-bar kinematic chains containing up to 3 prismatic pairs. Automatic enumeration and isomorphism detection are included using new coding techniques. A new atlas database for 8-bar chains with up to 3-prismatic pairs has been established. Abstract: It is important for designers of mechanical systems to visualize as many kinematic structures of mechanisms as possible. In this paper, a systematic methodology is proposed to generate all solutions of planar 8-bar kinematic chains (KCs) with up to 3 prismatic (P) pairs. First, a totally automated technique is developed to enumerate all available configurations of prismatic pairs for each KC. Second, Joint Sorting Code (JSC) is introduced for the first time to represent all KCs. Then a Kinematic Chain Structural Matrix (KCSM) is generated for all KCs to solve the problem of isomorphism. Finally, all results are evaluated by considering rules of P-joints assignment introduced by Ref. [1]. A vc++ code has been developed for enumeration, codes generation and isomorphism detection processes. The proposed methodology produces a new atlas for 8-bar chains that contains 16 groups and 48 subgroups. It contains 108, 426 and 816 KCs with 1P, 2P and 3P-joints respectively. The presented technique can be extended to single degree-of-freedom (DOF) planar n-bar chains with simple joints.