Synthesis of the Four-Bar Double-Constraint Mechanisms by the Application of the Grubler's Method

Fomin, Alexey; Парамонов, М. Е.

doi:10.1016/j.proeng.2016.07.034

Cited by 10 publications

(3 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Grübler's equations can be used for example for creation of multi-DOF closed kinematic chains, where one of the links is stopped and total DOF of such system becomes one (10).…”

Section: Statics In Assemblymentioning

confidence: 99%

Part as an Object of Assembly

Václav

Jurko

Lecký

2016

Research Papers Faculty of Materials Science and Technology Slovak University of Technology

View full text Add to dashboard Cite

We deal with static prearranged couples in practice quite often. Constructers are using them a lot to improve rigidity of product. Some examples are mentioned in this article. The paper also discusses the models of kinematic couples in plane and models of kinematic couples in space. Spatial movable and non-movable couples are commented on as well. The article particularly focuses on application of statics in the assembly in spatial couples (movable, non-movable) for intentional allowance fix which leads to a non-problem assembly. With fix like this, it is possible to manufacture selected parts in series while assuring non-problem assembly.

show abstract

“…Grübler's equations can be used for example for creation of multi-DOF closed kinematic chains, where one of the links is stopped and total DOF of such system becomes one (10).…”

Section: Statics In Assemblymentioning

confidence: 99%

Part as an Object of Assembly

Václav

Jurko

Lecký

2016

Research Papers Faculty of Materials Science and Technology Slovak University of Technology

View full text Add to dashboard Cite

show abstract

“…Firstly, a planar 4-bar mechanism model (Rao and Pawar, 2023;Sabry et al, 2020;Leticia et al, 2020) is constructed to derive the planar coordinate relationship equations of the motion trajectory points. The optimized design variables parameters are determined, the optimized error functions (Bustos et al, 2018;Mohammad, 2023;Abrarov et al, 2022) are constructed and the constraints (Fomin and Paramonov, 2016) are added. Then, the optimized design variables of the 4-bar mechanism are optimized by the improved artificial bee colony algorithm and the optimized results of the motion trajectory of the 4-bar mechanism are simulated by Matlab software and compared with the optimization results of other optimization algorithms, which provides a theoretical basis for an in-depth study of the error of the motion trajectory of the 4-bar mechanism.…”

Section: Introductionmentioning

confidence: 99%

Research on mechanism dimension synthesis method of 4-bar mechanism based on improved artificial bee colony algorithm

YANG,

SUN,

ZHANG

et al. 2023

JAMDSM

View full text Add to dashboard Cite

In this paper, a Genetic-Artificial Bee Colony Algorithm (G-ABCA) for mechanism optimization synthesis is proposed to improve the accuracy of the dimensional synthesis of the 4-bar mechanism. Firstly, the plane coordinate of the 4-bar mechanism was determined. Then, the relevant design parameters of the link motion were analyzed. The objective function was constructed to minimize the position error between the actual trajectory of the mechanism and the target trajectory, constraints of the 4-bar plane mechanism were added. Then, by means of the improved artificial bee colony algorithm, the length, size and angle variables of the 4-bar mechanism were optimized. The parameters of the classical case were optimized. Finally, the optimization results of the algorithm were simulated for the optimized parameters of the 4-bar mechanism. The results were compared to other optimization algorithms. The results show that the trajectory error obtained by the improved artificial bee colony algorithm is smaller and the optimization effect of the parameters of the 4-bar mechanism is better. The proposed algorithm improves the crossover rate between food sources, extends the population optimization space, improves the local search ability and prevents the premature convergence of the genetic algorithm. The validity and accuracy of the method are proved, which provides a theoretical basis for the in-depth study of the trajectory error of the 4-bar mechanism.

show abstract

“…These mechanisms are applied for adaptive structures. Another study that proposes a synthesis of mechanisms with minimum elements is [6], in which Grubler's method is used for designing mechanisms with two general imposed constraints. In [7], the optimal design of mechanisms considering tolerances on link lengths and clearances in joints is applied for four-bar linkages as the simplest systems.…”

Section: Introductionmentioning

confidence: 99%

Development of a Mixing Mechanism with a Complex Motion of the End-effector

Fomin¹,

Ivanov²

2019

SV-JME

View full text Add to dashboard Cite

This study is focused on the development and analysis of a single-driven mixing mechanism, synthesized with a minimum number of links and joints. The end-effector of this mechanism is designed as a screw ending with a mixing element (blades) moving along a spatial trajectory. The end-effector is set between movable links in the kinematic chain of the mechanism. This allows increasing the working zone of the endeffector. The study provides kinematic analysis via an analytical method of coordinate transformations that have resulted in the detection of variable kinematic parameters (tilt angles and displacements in joints) depending on driving link rotation angle. Based on these results, the motion trajectory of the mixing element has been analytically determined and reproduced. Analytical findings have been verified by results of motion simulations. The presented mechanism is advisable to use for the preparation of various mixtures and levelling the concentrations and temperature of mixed substances. The mechanism can be used in the food, medical, chemical, and construction industries, as well as in agriculture.

show abstract

Synthesis of the Four-Bar Double-Constraint Mechanisms by the Application of the Grubler's Method

Cited by 10 publications

References 13 publications

Part as an Object of Assembly

Part as an Object of Assembly

Research on mechanism dimension synthesis method of 4-bar mechanism based on improved artificial bee colony algorithm

Development of a Mixing Mechanism with a Complex Motion of the End-effector

Contact Info

Product

Resources

About