Topology optimization of planar linkage systems involving general joint types. (October 2016)

• Record Type: Journal Article
• Authors: Kang, Seok Won; Kim, Suh In; Kim, Yoon Young
• Is Part Of: Mechanism and machine theory. Volume 104(2016:Oct.)
• Page Start: 130
• Page End: 160
• Publication Date: 2016-10
• Subjects: Spring-connected block model -- Planar linkage mechanism -- Automatic mechanism synthesis -- Topology optimization -- General joint types; Machine theory -- Periodicals; Machinery -- Periodicals; Machines -- Périodiques; Génie mécanique -- Périodiques; Machine theory; Machinery; Periodicals; 621.81
• DOI: 10.1016/j.mechmachtheory.2016.05.015
• Languages: English
• ISSNs: 0094-114X

Abstract

Abstract: The simultaneous synthesis of the number and dimension of planar linkage mechanisms has opened a new possibility in mechanism synthesis. Mechanisms with revolute joints were a main concern so far but planar mechanisms with general joints including prismatic joints cannot be synthesized. This study aims to overcome the current difficult by proposing a new synthesis method. The key idea in the proposed approach is to parameterize joint types directly, unlike earlier methods parameterizing ground link skeletons connected by revolute joints. So, we propose a new concept of "double-springs" that can be used to connect a finite number of ground rectangular rigid blocks that discretize a given synthesis domain. Rigid blocks are elaborately connected by two sets of one-dimensional springs, i.e., double-springs and their stiffness values are varied by design variables. The connectivity of the double-springs dictated by the stiffness values determines the synthesized link mechanisms. We explain why it is crucial to use the double-spring concept for the synthesis of general joints such as prismatic joints. Various benchmark problems were considered to demonstrate the validity of the proposed method. Highlights: The topology and dimension of planar linkage mechanisms are simultaneously synthesized. A new topology optimization method to deal with various joint types is proposed. The concept of double-springs to connect ground rigid blocks is newly introduced. Mechanisms with revolute, prismatic and pin-in-slot joints were successfully synthesized.