Roberts-Chebyshev theorem and analytical synthesis of four-bar path generators

• Autorzy: Kikin A. B.
• Języki publikacji: EN

Abstrakty

EN

This paper presents an interactive analytical and optimization synthesis of four-bar path generators with a total number of parameters. It is established that for a crank-and-rocker linkage reproducing a closed-loop coupler curve, there are only two valid mechanisms tracing this trajectory. The third cognate mechanism received by the Roberts-Chebyschev theorem is unable to work, as it does not keep the assembly configuration during the motion cycle. For a double crank four-bar path generator we can always synthesize three cognate linkages.

Słowa kluczowe

EN

Roberts-Chebyshev theorem; four-bar path generator; kinematic synthesis; least-squares synthesis

PL

twierdzenia Czebyszewa; synteza kinematyczna

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2012
• Tom: Vol. 17, no. 4
• Strony: 1163--1176
• Opis fizyczny: Bibliogr. 10 poz., tab., wykr.

Twórcy

autor

Kikin A. B.

• Department of Automation St.Petersburg State University of Technology and Design Bolshaya Morskaya Str., 18, St. Petersburg, 191186, RUSSIA,

Bibliografia

• Al-Dwairy A.F. and Kikin A.B. (2004): Multipurpose technique for least-squares synthesis of linkages. - Proc. 11th World Congress in Mechanisms and Machines Science, Tianjin, China, pp.181-185.
• Artobolevsky I.I. (1979): Mechanisms in Modern Technology. vol.1. - Moscow: Nauka (in Russian).
• Kikin A.B. (2005): Synthesis of a four-bar path generator with determination of full number of parameters. - Trans. Textile Technology, No.3, pp.95-100 (in Russian).
• Kikin A.B. (2011): Roberts theorem and least-squares synthesis of a four-bar path generator. - Theory of Mechanisms and Machines. - Vol.9, No.2(18), pp.65-75 (in Russian) (http://tmm.spbstu.ru/18/kikin_18.pdf).
• Krainev A.F. (1987): Reference Dictionary on Mechanisms. - Moscow: Mashinostroenie (in Russian).
• Levitsky N.I. (1979): Theory of Mechanisms and Machines. -Moscow: Nauka (in Russian).
• Mehdigholi H. and Akbarnejad S. (2008): Optimization of Watt's Six-bar Linkage to Generate Straight and Parallel Leg Motion. - Journal of Humanoids, vol.1, No.1, pp.11-16.
• Peisach E.E. and Nesterov V.A. (1988): System of Plane Linkages Design. - Moscow: Mashinostroenie (in Russian).
• Sarkisian Y.L. (1982): An Approximation Synthesis of Mechanisms. - Moscow: Nauka (in Russian).
• Simionescu P.A. and Smith M.R. (2001): Four- and six-bar function cognates and overconstrained mechanisms. - Mech. and Mach. Theory, vol.36, pp.913-924.