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Abstract

The geared five-bar mechanism possesses kinematic abilities that qualify its utility in various industrial applications. Small changes to the mechanism topology or dimensions create new designs with different motion characteristics. This article presents design-orientated kinematical insights and mathematical treatments for the embodiment of the mechanism in which the end gear is eccentrically pivoted to a sliding element. For its synthesis, a kinematic classification is introduced and approximate curves are used to guide the motion of the slider. A gradient-based Levenberg–Marquardt formulation is employed for the optimization procedure. Geometric, mobility, and dimensional constraints are utilized together with numerical position equations for the analysis. Two case studies are presented at the end of this article to highlight the versatility of the mechanism and prove the validity of the presented mathematical model.

Keywords

kinematic mechanism synthesis gears optimization slider Levenberg Marquardt

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References

Gabriele

G. A.

Optimization in mechanisms. Modern kinematics in the last forty years, Erdman

. 1993 (John Wiley & Son Inc. (New York).

Cossalter

Doria

Pasini

Scattolo

A simple numerical approach for optimum synthesis of a class of planar mechanisms. Mech. Mach. Theory, 1992, 27(3), 357–366.

Minnaar

R. J.

Tortorelli

D. A.

Snyman

J. A.

On nonassembly in the optimal dimensional synthesis of planar mechanisms. Struct. Multidisc. Optim., 2001, 1. 345–354.

Jensen

O. F.

Hansen

J. M.

Dimensional synthesis of spatial mechanisms and the problem of non-assembly. Multibody Syst. Dyn., 2006, 15. 1207–1233.

Hansen

J. M.

Synthesis of mechanisms using time-varying dimensions. Multibody Syst. Dyn., 2002, 2. 127–144.

Zhang

Zhou

Optimal mechanism design using interior-points methods. Mech. Mach. Theory, 1998, 35. 83–98.

Dooner

D. B.

Function generation utilizing and eight-link mechanism and optimized non-circular gear elements with application to automotive steering. Proc. IMechE, Part C: J. Mechanical Engineering Science, 2001, 215(C7), DOI: 10.1243/0954406011524090, 847–857.

Cabrera

J. A.

Simon

Prado

Optimal synthesis of mechanisms with genetic algorithms. Mech. Mach. Theory, 2002, 37. 1165–1177.

Deb

Tiwari

Mutli-objective optimization of a leg mechanism using genetic algorithms. Engng Optim., 2005, 37(4), 325–350.

10.

Smaili

A. A.

Diab

N. A.

Atallah

N. A.

Optimum synthesis of mechanisms using tabu-gradient search algorithm. ASME J. Mech. Des., 2005, 127(2), 917–923.

11.

Nokleby

S. B.

Podhorodeski

R. P.

Optimization-based synthesis of Grashof geared five-bar mechanisms. ASME J. Mech. Des., 2001, 123(12), 529–533.

12.

Suchora

D. H.

Savage

Geared Five-Bar Crank Mechanism – Part I: Analysis. In Proceedings of the Design Engineering Technical Conference. 5–9 October 1974, New York.

13.

Suchora

D. H.

Savage

Geared Five-Bar crank Mechanism – Part II: Design. In Proceedings of the Design Engineering Technical Conference. 5–9 October 1974, New York.

14.

Bresland

Coupling arrangement for reciprocating piston engine, 2001, US Patent 6, 273, 052 B1.

15.

Norton

R. L.

Design of machinery an introduction to the synthesis and analysis of mechanisms and machines, 1999 (McGraw-Hill (New York).

16.

Haug

E. J.

Computer aided kinematics and dynamics of mechanical systems, 1989, vol. 1: basic methods, Allyn and Bacon (Massachusetts).

17.

Antoniou

W.-S.

Practical optimization: algorithms and engineering applications, 2007 (Springer Science+Business Media, LLC (New York).

On the kinematics and synthesis of a geared five-bar slider–crank mechanism

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