Model of 5R spatial linkage in the geometry of tori

• Autorzy: Bil T. , Budniak Z.

Identyfikatory

DOI

10.2478/ijame-2014-0057

• Języki publikacji: EN

Abstrakty

EN

The present study covers the problem of a kinematic analysis of a spatial 5R single DOF linkage. This mechanism was constructed by combining two 4R universal mechanisms presented in tori geometry (Bil, 2012). The problem can be presented as the effect of an intersection of two tori in such a manner that the circles that form these tori do not coincide (Bil, 2010; 2011; 2012; 2012). As a result of this, a 5R model was obtained of a five-bar mechanism. It was demonstrated that there are 16 cases of the intersection of two universal tori with constant linear dimensions and that they differ with the angles of the mutual positions of rotation axes. A particular case of the five-bar mechanism presented herein is the well-known Goldberg mechanism (Goldberg, 1943), which was initially formed out of a particular case combination of two Bennett mechanisms (Bennett, 1903; Baker, 1979).

Słowa kluczowe

EN

Bennett; Goldberg; spatial mechanism; torus; 5R mechanism

PL

analiza przestrzenna; analiza kinematyczna; symulacja przepływu

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2014
• Tom: Vol. 19, no. 4
• Strony: 823--830
• Opis fizyczny: Bibliogr. 9 poz., rys., wykr.

Twórcy

autor

Bil T.

• Faculty of Mechanical Engineering Koszalin University of Technology ul. Racławicka 15-17, 75-620 Koszalin, POLAND

autor

Budniak Z.

• Faculty of Mechanical Engineering Koszalin University of Technology ul. Racławicka 15-17, 75-620 Koszalin, POLAND

Bibliografia

• [1] Baker J.E. (1979): The Bennett, Goldberg and Myard linkages – in perspective. – Mech. and Mach. Theory 14 (4), pp.239-253.
• [2] Bennett G.T. (1903): A new mechanism. – Engineering, London, vol.76, pp.777-778.
• [3] Bil T. (2010): Bennett linkage in the geometry of tori. – Acta Mechanica et Automatica, vol.4, No.1, pp.5-8.
• [4] Bil T. (2011): Kinematic analysis of a universal spatial mechanism containing a higher pair based on tori. – Mechanism and Machine Theory, vol.46, pp.412-424.
• [5] Bil T. (2012): Analysis of the Bennett linkage in the geometry of tori. – Mechanism and Machine Theory, vol.53, pp.122-127.
• [6] Bil T. (2012): The new general model four-bar spatial linkage. – Int. J. of Applied Mechanics and Engineering, vol.17, No.3, pp.677-688.
• [7] 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.
• [8] Goldberg M. (1943): New five-bar and six-bar linkages in three dimensions. – ASME J. Mechanisms 65, pp.649-661.
• [9] “Microsoft Excel Solver User’s Guide” for Windows, version 3.0, pp. 2.