A new method to approximate the field of movements of 1-DOF linkages with lower-pairs

作者：Noriega Alvaro^*; Luis Cortizo Jose; Rodriguez Eduardo; Vijande Ricardo; Manuel Sierra Jose

来源：Meccanica, 2010, 45(5): 681-692.

DOI：10.1007/s11012-010-9283-2

• Linkage
• Position problem
• Optimization
• Evolution strategy

This paper presents a new method to obtain an approximation of the field of movements of 1-DOF linkages with lower pairs. The method is based on a linkage representation by natural coordinates and the storage of the constraint equations by means of a sparse cubic matrix. To obtain a discrete approximation of the field of movements, a three-stage process is used. In the first stage, a special Evolution Strategy is applied to make the population converges towards the zones where the constraints' error is minimal, obtaining, at the same time, a good distribution of individuals. In the second stage, the final individuals of the ES are used as initial points for an optimization algorithm to obtain a greater accuracy. Later, the third stage is a filtering process to eliminate individuals that represent non-desired solutions. This method has been tested on some linkages with well-known fields of movements, generating comprehensive outcomes that justify the validity of the method.

• 出版日期2010-10-10