Abstract
In this paper, an optimization procedure for path generation synthesis of the slider-crank mechanism will be presented. The proposed approach is based on a hybrid strategy, mixing local and global optimization techniques. Regarding the local optimization scheme, based on the null gradient condition, a novel methodology to solve the resulting non-linear equations is developed. The solving procedure consists of decoupling two subsystems of equations which can be solved separately and following an iterative process. In relation to the global technique, a multi-start method based on a genetic algorithm is implemented. The fitness function incorporated in the genetic algorithm will take as arguments the set of dimensional parameters of the slider-crank mechanism. Several illustrative examples will prove the validity of the proposed optimization methodology, in some cases achieving an even better result compared to mechanisms with a higher number of dimensional parameters, such as the four-bar mechanism or the Watt’s mechanism.
Highlights
Dimensional synthesis consists of finding a geometry that enables a mechanism to generate certain motion characteristics, such as trajectories or positions of elements.It is tough to solve this problem intuitively and often requires the implementation of specific methods
Regarding the local optimization scheme, based on the null gradient condition, a novel methodology to solve the resulting non-linear equations is developed
The target most commonly addressed in bibliographies is the synthesis type, known as path generation, where a point of a single degree of freedom mechanism is sought to run through a sequence of prescribed positions
Summary
Dimensional synthesis consists of finding a geometry that enables a mechanism to generate certain motion characteristics, such as trajectories or positions of elements.It is tough to solve this problem intuitively and often requires the implementation of specific methods. The target most commonly addressed in bibliographies is the synthesis type, known as path generation, where a point of a single degree of freedom mechanism is sought to run through a sequence of prescribed positions. This motion may or may not be synchronized with the location of the input element, resulting in prescribed or unprescribed timing problems, respectively. It should be noted that there exist two other goals that are frequently studied, these being beyond the scope of this paper These are function generation, where the motion of two elements of the mechanism is synchronized, and motion generation, where a sequence of locations for a certain element of the mechanism is prescribed
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