Analytical synthesis methodology of RCCC linkages for the specified four poses

Han, Jian; Cao, Yang

doi:10.1016/j.mechmachtheory.2018.12.005

Cited by 10 publications

(2 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Although this method can increase the number of solutions, most of the increased linkage solutions still have motion defects, so it does not fundamentally eliminate the blindness of linkage synthesis process. Considering that modern computers can obtain massive solutions quickly and discriminate the defective linkage solutions in turn later (Myszka et al, 2009;Tipparthi and Larochelle, 2011;Bai, 2017), the method of type map (Han and Cao, 2019) is gradually applied in some linkage synthesis software, such as Synthetic (Su and McCarthy, 2005), Lincages (Erdman and Loftness, 2005), Sphinx (the latest version is SphinxPC) (Ruth and McCarthy, 1999;McCarthy, 2013) and the software developed by Han et al (2013). Among them, specially, Sphinx is the first software to solve the spherical G. Wang et al: Computer-aided synthesis of spherical and planar 4R linkages problems.…”

Section: Introductionmentioning

confidence: 99%

Computer-aided synthesis of spherical and planar 4R linkages for four specified orientations

Wang

Zhang

et al. 2019

Mech. Sci.

View full text Add to dashboard Cite

Abstract. According to the burmester theory, an infinite number of spherical or planar 4R linkages for a specific four-orientation task can be synthesized, but most of the linkage solutions calculated by this method are invalid because of motion defect, poor performance and others. In order to improve the synthesis efficiency, a program package based on Matlab is developed to find a satisfied linkage solution automatically and quickly. Firstly, the calculation on circle points and the center points based on the burmester theory in spherical problems is introduced. Secondly, the calculation methods of linkage defect discrimination, linkage type classification, linkage performance evaluation and solutions visualization based on the theory of spherical trigonometry are presented respectively. Thirdly, the synthesis calculation of program package is extended to the planar 4R linkage based on the theory of planar analytic geometry. Finally, the examples of the spherical synthesis problem and the planar synthesis problem based on solutions map are introduced to test the program package, the result proves this program package is effective and flexible.

show abstract

Section: Introductionmentioning

confidence: 99%

Computer-aided synthesis of spherical and planar 4R linkages for four specified orientations

Wang

Zhang

et al. 2019

Mech. Sci.

View full text Add to dashboard Cite

show abstract

“…The author Yin et al (2011Yin et al ( , 2012 studied the synthesis of the straight-line linkage of Ball and Burmester points, separately. Han et al (2009) proposed a solution-region-based method for linkage synthesis to obtain the optimal solution in the feasible solution region, and extended their approach to four-position finitely separated and mixed "point-order" positions (Yang et al, 2011), six-bar motion generation (Cui and Han, 2016), and RCCC Linkages (Han and Cao, 2018;Bai and Angeles, 2015). Traditional synthesis methods use congruence to represent infinite parametric solutions.…”

Section: Introductionmentioning

confidence: 99%

Solution-region-based synthesis approach for selecting optimal four-bar linkages with the Ball–Burmester point

Yin

Huang

et al. 2019

Mech. Sci.

View full text Add to dashboard Cite

Abstract. In this paper, we present a solution-region-based synthesis approach for selecting optimal four-bar linkages with a Ball–Burmester point. We discuss both general and special cases of the Burmester point that coincide with the Ball point at the pole of the inflection circle. Given the coordinates of one fixed joint, any point on the target's straight line, and the direction of this straight line, we can synthesize an infinite number of mechanisms using a coupler curve with five-point contacts with its tangent by adopting the proposed approach. Each initial parameter corresponds to three side links that can generate three four-bar mechanisms. We generate different mechanism property charts by developing mechanism software that enables users to intuitively identify relevant linkage information and select the optimal linkage. This novel approach is a visualized analytical method for synthesizing and selecting optimal four-bar linkages with one Ball–Burmester point on its coupler curve.

show abstract

A solution-region approach for synthesis linkages with coincident instantaneous center and one fixed pivot

et al. 2020

View full text Add to dashboard Cite

Analytical synthesis methodology of RCCC linkages for the specified four poses

Cited by 10 publications

References 14 publications

Computer-aided synthesis of spherical and planar 4R linkages for four specified orientations

Computer-aided synthesis of spherical and planar 4R linkages for four specified orientations

Solution-region-based synthesis approach for selecting optimal four-bar linkages with the Ball–Burmester point

A solution-region approach for synthesis linkages with coincident instantaneous center and one fixed pivot

Contact Info

Product

Resources

About