New general model of a four-bar linkage

• Autorzy: Bil T.
• Języki publikacji: EN

Abstrakty

EN

This paper focuses on a new model of an elementary four-bar linkage. This is in fact a whole family of mechanisms whose special cases are as follows: the Bennett linkage, the spherical linkage and the plane parallelogram linkage. The mechanism presented herein is formed from the radiuses connected with the revolute pairs of two overlapping general tori. The mechanism under analysis and all its particular solutions form a family of mechanisms with a mobility equal to a unit, connected with the surfaces of the sphere, plane and the symmetric general torus in a three-dimensional space. All these surfaces constitute special cases of the general torus, and the mechanisms related to these surfaces are special cases of a new model of the general spatial four-bar linkage.

Słowa kluczowe

EN

general linkage; Bennett linkage; spherical linkage; parallelogram linkage; general torus

PL

podnośnik; kinematyka

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2012
• Tom: Vol. 17, no. 3
• Strony: 677--687
• Opis fizyczny: Bibliogr. 12 poz., rys., wykr.

Twórcy

autor

Bil T.

• Faculty of Mechanical Engineering Koszalin University of Technology 75-620 Koszalin, Raclawicka 15/17, POLAND,

Bibliografia

• Baker J.E. (1975): Mobility Analyses of Spatial Linkages. - Doctoral Dissertation. The University of New Wales.
• Baker J.E. (1979): The Bennett, Goldberg and Myard Linkages-in Perspective. - Mech. and Mach. Theory, vol.14, No.4, pp.239-253.
• Bil T. (2008): The analysis of one-loop mechanisms on the basis of the general model. - Theory of Mechanisms and Machines, vol.6, No.1(11), pp.55-63, (in Rus.), http://tmm.spbstu.ru/01_2008.html.
• Bil T. (2010a): Geometry of a mechanism with a higher pair in the form of two elliptical tori. - Mech. and Mach. Theory 45, pp.185-192.
• Bil T. (2010b): The Bennett linkage in the geometry of tori. - Acta Mechanica et Automatica, vol.4, No.1. (in Pol.).
• Bil T. (2011): Kinematic analysis of the universal spatial mechanism containing a higher pair. - Mech. and Mach. Theory 46, pp.412-424.
• Bil T. (2012): Analysis of the Bennett linkage in the geometry of tori. - Mech. and Mach. Theory 53, pp.122-127.
• Budniak Z. and Bil T. (2012): Simulation of the movement of four-bar spatial linkage. - Int. J. of Applied Mechanics and Engineering, vol.17, No.3, pp.723-732.
• Delassus E. (1922): Les chaınes articulees fermees et deformables a quatre members. - Bulletin des Sciences Mathematiques, vol.46, pp.283-304.
• Denavit J. and Hartenberg R.S. (1955): A kinematic notation for lower-pair mechanisms based on matrices. - Transactions of ASME, Journal of Applied Mechanics 22, pp.215-221.
• Gogu G. (2005): Mobility of mechanisms: a critical review. - Mech. and Mach. Theory 40, pp.1068-1097.
• Villarceau Y. (1848): Théorème sur le Tore. - Nouvelles Annales de Mathématiques, Ve série, tome 7, pp.345-347. http://www.numdam.org.