Developments in quantitative dimensional synthesis (1970–present): four-bar path and function generation

Lee, Wen-Tzong; Russell, Kevin

doi:10.1080/17415977.2017.1396328

Cited by 25 publications

(13 citation statements)

References 154 publications

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“…On the other hand, dimensional synthesis is regarded as the inverse, in which for a specific output motion ψ(t) the feasible dimensions of the linkages are obtained [26]. This paper is based on the dimensional synthesis of a planar four-bar function generation [27]. As shown in Figure 3, the movement ∆ψ of output linkage BC caused by θ(t) is described by a starting angle ψ i , and end angle ψ e .…”

Section: Cad Motion Simulationsmentioning

confidence: 99%

CAD Based Design Optimization of Four-bar Mechanisms: a coronaventilator case study

Yahya¹,

Oosterwyck²,

Knaepkens³

et al. 2022

Preprint

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Design optimization of mechanisms is a promising research area as it results in more energy-efficient machines without compromising performance. However, machine builders do not actually use the design methods described in the literature as these algorithms require too much theoretical analysis. Moreover, the design synthesis approaches in the literature predominantly utilize heuristic optimizers leading to suboptimal local minima.This research introduces a convenient optimization workflow allowing wide industrial adoption, while guaranteeing to reveal the global optimum. To guarantee that we find the global optimum, a mathematical expression of the constraints describing the feasible region of possible designs is of great importance. Therefore, kinematic analysis of the point-to-point (PTP) planar four-bar mechanism is discussed to obtain the static and dynamic constraints. Within the feasible region, objective value samples are generated through CAD multi-body software. These motion simulations determine the required torque to fulfill the movement for a certain combination of design parameters.

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Section: Cad Motion Simulationsmentioning

confidence: 99%

CAD Based Design Optimization of Four-bar Mechanisms: a coronaventilator case study

Yahya¹,

Oosterwyck²,

Knaepkens³

et al. 2022

Preprint

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“…The dimensional synthesis problems of mechanisms can be classified into function generation, path generation, and motion generation. The dimensional synthesis of path-generating four-bar linkages (termed as path synthesis problem in this work) involves the design of the parameters of a mechanism to ensure that the coupler point traces the desired path defined by a number of precision points, which is the central work of this research, and it is also a classical problem that has been investigated by numerous researchers for several decades, and some papers have reviewed the path synthesis problems [8][9][10]. Traditionally, the synthesis of such problems is solved using graphical methods [11], analytical methods [7], numerical methods [12,13], and a combined numerical and analytical method [14].…”

Section: Introductionmentioning

confidence: 99%

Comparative Study on the Synthesis of Path-Generating Four-Bar Linkages Using Metaheuristic Optimization Algorithms

Kang¹,

Jun²,

You³

2022

Applied Sciences

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Four-bar linkages are one of the most widely used mechanisms in industries. This paper presents a comparative study on the accuracy and efficiency of the optimum synthesis of path-generating four-bar linkages using five metaheuristic optimization algorithms. The utilized metaheuristic methods included two swarm intelligence-based algorithms, i.e., particle swarm optimization and hybrid particle swarm optimization, and three evolutionary-based algorithms, i.e., differential evolution, ensemble of parameters and mutation strategies in differential evolution, and linearly ensemble of parameters and mutation strategies in differential evolution. The objective function to be minimized is the sum of squares of the distance between the generated points and the precision points of a coupler point. The optimal design of four-bar linkages must meet the Grashof’s criteria and exhibit sequential constraints that can prevent the occurrence of order defect. This study investigated five representative cases of the dimensional synthesis of four-bar path generators with and without prescribed timing and compared the optimal solutions of the utilized five metaheuristic methods to those of previously reported algorithms in literature. The improved metaheuristic methods exhibited superior optimal solution and enhanced reliability compared to the original methods. Moreover, three improved metaheuristic methods were not only easy implemented, but also more efficient for solving the optimal synthesis problems, particularly for high dimensional problems.

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“…A precision-point-based method attempts to find a solution that will exactly pass through the desired and limited number of precision points, while the optimization-based method tries to establish an objective function, such as minimization of the squared difference between the synthesized and desired coupler point positions, and a set of equality/inequality constraints such that a closest fit between the calculated and target points can be reached. Thompson 5 and Lee and Russell 6 have provided detailed surveys of the solution methods. The outcomes of both solution methods may suffer from circuit defects, branch defects, and/or order defects.…”

Section: Introductionmentioning

confidence: 99%

A generative model for path synthesis of four-bar linkages via uniform sampling dataset

Chang

Lee

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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Solving the problem of path synthesis for four-bar linkages via either analytical or numerical algorithms may entail issues such as mechanism defects and the need to guess at initial values. Recently, methods for solving such problems using neural network-based schemes show that these issues can be avoided. Despite the success in resolving the issues, there exist areas for further enhancement of the accuracy of the neural network-based scheme. In this work, a learning-based framework including preprocessing, data generation, and model training for the path synthesis of four-bar linkages is presented. The preprocessing starts by regenerating the target path with evenly distributed points along the path, followed by the normalization of the shape and feature extraction. For data generation, unsupervised learning, that is, K-means clustering, is employed to uniformly adjust the distribution of paths of different shapes in the dataset so that robustness of the model can be achieved. As for model training, models based on datasets of different classes of four-bar linkage as well as a classifier to determine the suitable generative model for the target path are constructed. Finally, several examples, including closed and open paths, are illustrated to verify the effectiveness of the framework.

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Developments in quantitative dimensional synthesis (1970–present): four-bar path and function generation

Cited by 25 publications

References 154 publications

CAD Based Design Optimization of Four-bar Mechanisms: a coronaventilator case study

CAD Based Design Optimization of Four-bar Mechanisms: a coronaventilator case study

Comparative Study on the Synthesis of Path-Generating Four-Bar Linkages Using Metaheuristic Optimization Algorithms

A generative model for path synthesis of four-bar linkages via uniform sampling dataset

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