Abstract
In this work, a generalized algorithm is introduced to generate all alternatives of planar N-bar kinematic chains (KCs) with simple joints containing sliders. A simple graphical technique is introduced to enumerate all available N-bar chains with prismatic (P) joints. Then, a new topological Loop Code (TLC) is presented to detect isomorphic chains during the enumeration process in addition to detecting rejected KCs. A visual C++ code is developed for automatic enumeration and detection of rejected KCs and isomorphic KCs. Examples of 6, 8, and 10-bar KCs are presented to illustrate algorithm procedures. As a result, 21, 16, and 1350 KCs have P-joints for Stephenson, Watt, and 8-bar chains, respectively. Also, 308 KCs are obtained for a 10-bar KC with up to 3 sliders.
Highlights
Mechanical Engineering Department, Faculty of Engineering & Technology, Future University in Egypt, Abstract: In this work, a generalized algorithm is introduced to generate all alternatives of planar
Isomorphism detection is an essential stage in the structural synthesis of planar mechanisms to ensure that all configurations of a kinematic chains (KCs) are distinct
A computer program was developed to test the isomorphism of single-Degree of Freedom (DOF) simple-jointed planar 6-bar KCs up to seven P-joints and 8-bar KCs up to ten P-joints
Summary
A simple joint joint is is formed formed when when two two links links are are connected, connected, whereas whereas multiple multiple joints joints are are. A simple formed when more than two two links links are are connected. Assignment of P-joints depends mainly on the structural characteristics be identified identified including including characteristics of a KC. Mechanism topology should be the number and type of both links and and joints. As indicated in [36], the total number number of independent loops in a KC is given by:. For the 10-bar KC shown, it has 3-DOF and four independent loops: For the 10-bar KC shown, it has 3-DOF and four independent loops: namely namely L1, L2, L3, and Lp as a peripheral loop. L1, L2, L3, and Lp as a peripheral loop
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