Determining General and Overclosing Constraints in Mechanism Mobility Using Structural Finite Element Joint Freedoms

[+] Author and Article Information
C. Bagci

Department of Mechanical Engineering, Tennessee Technological University, Cookeville, TN 38505

J. Mech. Des 114(3), 376-383 (Sep 01, 1992) (8 pages) doi:10.1115/1.2926563 History: Received March 01, 1988; Online June 02, 2008


Article presents the most general form of the mobility equation, and primarily describes general and three types of overclosing constraints. Then, it offers a method of determining numbers of the general and overclosing constraints in single and multiloop, planar and spatial mechanisms. It makes use of the number of external joint freedoms and the number of internal element end deformations in finite line element models of the mechanisms for force and torque analysis. The number of degrees of statical indeterminacy determines the number of constraints in the mobility equation. Redundant and passive freedoms, general, and overclosing constraints are determined for several single and multiloop mechanisms, including the Sarrutt’s, Bennett’s, and Bricard’s single loop mechanisms.

Copyright © 1992 by The American Society of Mechanical Engineers
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