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Solving a Planar Four-Bar Design Problem Using Continuation
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The problem of synthesizing a planar 4-bar with given pivots such that the coupler curve passes through five precision points is considered. It is shown that the design parameters must satisfy ...
Solving the Kinematics of the Most General Six- and Five-Degree-of-Freedom Manipulators by Continuation Methods
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This paper presents a unique approach to the kinematic analysis of the most general six-degree-of-freedom, six-revolute-joint manipulators. Previously, the problem of computing all possible ...
Numerical Continuation Methods for Solving Polynomial Systems Arising in Kinematics
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Many problems in mechanism design and theoretical kinematics can be formulated as systems of polynomial equations. Recent developments in numerical continuation have led to algorithms that compute ...
Complete Solution of the Nine-Point Path Synthesis Problem for Four-Bar Linkages
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The problem of finding all four-bar linkages whose coupler curve passes through nine prescribed points has been a longstanding unsolved problem in kinematics. Using a combination of classical ...