One may wish to define the velocity transformation in addition to the displacement transformation for synthesizing a mechanism. The approach presented here is essentially that noted as the “damped least squares” that allows for successive adjustment of the parameters which define a particular type mechanism. The repetitive application of this process results in a convergence toward an optimum approximation of the displacement and velocity transformation curves which are described by a series of data points. The method has been applied to a four-bar linkage as an example of application; the approach or technique is general and is not limited in use to any specific mechanism.
Displacement and Velocity Kinematic Synthesis
D. W. Lewis,
D. W. Lewis
Mechanical Engineering, University of Virginia, Charlottesville, Va.
G. L. Falkenhagen
Graphics Division, University of Virginia, Charlottesville, Va.
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Lewis, D. W., and Falkenhagen, G. L. (August 1, 1968). "Displacement and Velocity Kinematic Synthesis." ASME. J. Eng. Ind. August 1968; 90(3): 527–529. doi: https://doi.org/10.1115/1.3604682
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