In this paper analytical expressions for the extreme velocity ratio of a four-bar linkage are derived by the application of vector loop equations. Alternative forms for Freudenstein's theorems are presented. Either geometrically or analytically, the theorems can be proved concisely. For an arbitrary four-bar linkage, Freudenstein's theorem can examine the occurrence of the phases at which the angular velocity ratio of links becomes extreme, but it cannot straightforwardly determine the exact phases to happen. (C) 1998 Elsevier Science Ltd.
机构:
Department of Mathematics, Faculty of Science Semlalia, B.O. 2390 Marrakesh, MoroccoDepartment of Mathematics, Faculty of Science Semlalia, B.O. 2390 Marrakesh, Morocco
M.AMOUCH
H.ZGUITTI
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机构:
Department of Mathematics, Faculty of Science of Rabat, B. O. 1014 Rabat, MoroccoDepartment of Mathematics, Faculty of Science Semlalia, B.O. 2390 Marrakesh, Morocco
机构:
South Dakota Sch Mines & Technol, 501 East St Joseph St, Rapid City, SD 57701 USASouth Dakota Sch Mines & Technol, 501 East St Joseph St, Rapid City, SD 57701 USA
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Stellenbosch Univ, Dept Math Sci, P Bag X1, ZA-7602 Stellenbosch, South AfricaStellenbosch Univ, Dept Math Sci, P Bag X1, ZA-7602 Stellenbosch, South Africa