On the Input Joint Rotation Space and Mobility of Linkages

Author:

Ting Kwun-Lon12

Affiliation:

1. Fellow ASME

2. Center for Manufacturing Research, Tennessee Technological University, Cookeville, TN 38505

Abstract

This paper presents the concept and application of input joint rotation space of linkages and offers updates on the N-bar rotatability laws. A thorough discussion on the joint rotation space of single-loop planar five-bar linkages is first presented. The concept is then extended to spherical linkages and the generalization to N-bar linkages is discussed. It offers a visualization tool for the input joint rotatability and fills up a void in the N-bar rotatability laws regarding the coordination among multiple inputs. It explains the formation of branches and how to establish a one-to-one correspondence between the inputs and the linkage configurations. The applications to multiloop linkages and spatial linkages are highlighted with Stephenson six-bar linkages, geared linkages, and spatial RCRCR mechanisms. These examples exhibit simplicity and benefits of the proposed concept to the mobility analysis of diversified mechanisms. The concept of virtual loop in spatial linkages is proposed and demonstrated with simple RCRCR and Stephenson six-bar mechanisms.

Publisher

ASME International

Subject

Computer Graphics and Computer-Aided Design,Computer Science Applications,Mechanical Engineering,Mechanics of Materials

Reference33 articles.

1. Ting, K. L., and Dou, X. H., 1994, “Branch, Mobility Criteria, and Classification of RSSR and Other Bimodal Linkages,” ASME DETC, Mechanism Synthesis and Analysis, DE-Vol. 70, pp. 303–310.

2. Pamidi, P. R., and Freudenstein, F., 1975, “On the Motion of a Class of Five-Link, RCRCR, Spatial Mechanisms,” ASME J. Eng. Ind.0022-0817, Feb., pp. 334–339.

3. Mobility Criteria of Single Loop N-Bar Linkages;Ting;ASME J. Mech., Transm., Autom. Des.

4. Rotatability Laws for N-Bar Kinematic Chains and Their Proof;Ting;ASME J. Mech. Des.

5. Branch and Dead Positions of Single-Loop N-Bar Linkages;Ting

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