A nonlinear programming technique for the minimization of maximum structural error in the dimensional synthesis of four-bar linkages is presented. The chosen optimization formulation is new to the field of mechanism synthesis. The maximum structural error is minimized by inequality constraints which bound this error to be smaller than a minimization parameter at as many discrete mechanism positions as required. Additional constraints are imposed on the design variables to ensure linkage mobility, an acceptable range of transmission angle, and realistic mechanism dimensions. The method employs an Augmented Lagrangian penalty function coupled with a variable metric algorithm. Application of the technique to a path generation problem with coordinated input crank angles produced good results.
|Original language||English (US)|
|Number of pages||4|
|State||Published - Dec 1 1984|
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