On the optimum synthesis of six-bar linkages using differential evolution and the geometric centroid of precision positions technique

Shiakolas, Panos S.; Koladiya, D.; Kebrle, J.

doi:10.1016/j.mechmachtheory.2004.07.005

Cited by 89 publications

(38 citation statements)

References 24 publications

(32 reference statements)

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“…The prevalent techniques are based on the genetic/evolutionary algorithms and other heuristic methods patterned upon biological systems and social behaviours (Avilés et Shiakolas et al 2002Shiakolas et al , 2005. Frequently, the methods are devoted to a single specific path-synthesis task: synthesis of open-path generators, synthesis of closed-path generators, path synthesis with and without timing (time prescription).…”

Section: Type Of Method: Direct or Indirect Synthesis Methods (Based Omentioning

confidence: 99%

Reduced number of design parameters in optimum path synthesis with timing of four-bar linkage

Buśkiewicz

2018

jtam

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The paper presents the method for the optimal synthesis of four-link mechanism generating open/closed paths with time prescription. Although the method is suitable for both closed and open paths, it enables decreasing the number of design parameters describing dimensions, orientation and position of a path generator. Compared to the methods presented in the references, this is a one-phase synthesis method; although the number of design parameters is reduced, the method does not require affine transformations to be performed on the synthesised mechanism. The effectiveness of the method is discussed based on examples of three paths, with two taken from the literature.

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Section: Type Of Method: Direct or Indirect Synthesis Methods (Based Omentioning

confidence: 99%

Reduced number of design parameters in optimum path synthesis with timing of four-bar linkage

Buśkiewicz

2018

jtam

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“…Hwang and Chen (2010) used optimization techniques to find defect-free Stephenson II six-bar function generators, while Sancibrian (2011) minimized the difference between the input-output function of the linkage and the desired function. Bulatović et al (2013) introduced the Cuckoo Search algorithm to design a Stephenson III linkage, and Shiakolas et al (2005) used a method known as differential evolution.…”

Section: Literature Reviewmentioning

confidence: 99%

Kinematic synthesis of Stephenson III six-bar function generators

Plecnik

McCarthy

2016

Mechanism and Machine Theory

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This paper presents the synthesis of Stephenson III six-bar linkages for function generation. The approach is similar to that of the Stephenson II linkage except additional reductions allow a multihomogeneous degree of 55,050,240 to be computed. A multihomogeneous homotopy was computed for a numerically general system to obtain 834,441 nonsingular solutions which are used to construct efficient parameter homotopies that can be solved for specific function generator task requirements. The linkage solutions found by parameter homotopy are sorted into cognate pairs and analyzed to verify performance. An example is presented of a function generator that creates a specified torque profile to cancel the effects of spasticity in the wrists of stroke survivors.

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“…Kinzel et al [6] use computer-aided design based geometric constraint solvers to obtain a Stephenson III six-bar linkage, and Shiakolas et al [10] use an evolutionary optimization algorithm. Our design equations are based on the synthesis of RR chains introduced by Burmester theory [3], also see McCarthy and Soh (2010), [7].…”

Section: Literature Reviewmentioning

confidence: 99%