A restatement of the optimum synthesis of function generators with planar four-bar and slider-crank mechanisms examples. (2016)

• Record Type: Journal Article
• Authors: Simionescu, P.A.
• Is Part Of: International journal of mechanisms and robotic systems. Volume 3:Number 1(2016)
• Page Start: 60
• Page End: 79
• Publication Date: 2016
• Subjects: four bar mechanisms -- optimisation algorithm -- planar kinematics -- slider-crank mechanisms -- optimum synthesis -- function generators -- planar mechanisms -- mechanism design -- scaling -- mirroring -- rotations; Robotics -- Periodicals; Mechanical engineering -- Periodicals; 629.892
• Languages: English
• ISSNs: 2047-7244

Abstract

The problem of optimum synthesising of a mechanism to best approximate a function, while simultaneously ensuring good motion transmission characteristics is discussed. Distinction is made between the design variables that determine the shape of the input-output (I/O) function of the mechanism, and the design variables that affect the degree of overlap between this I/O function and the function to be mechanised, through scaling, mirroring and rotations in 90º increments. Examples are given of designing the planar four-bar and slider-crank linkages of a logarithmic scale, and that of a tangent-function generator. These are performed on modified mechanisms with an added degree-of-freedom, which substantially simplify the synthesis problem.