Mathematical Dimensional Synthesis of Four-Bar Linkages Based on Cognate Mechanisms
In the field of mechanical engineering, understanding mechanisms is essential for designing and developing devices and systems. Mechanisms, composed of interconnected elements, transform the energy applied to the input link into motion or force in the output link. Mechanisms are found in a wide vari...
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MDPI AG
2024-12-01
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| author | Enrique Soriano-Heras Carlos Pérez-Carrera Higinio Rubio |
| author_facet | Enrique Soriano-Heras Carlos Pérez-Carrera Higinio Rubio |
| author_sort | Enrique Soriano-Heras |
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| description | In the field of mechanical engineering, understanding mechanisms is essential for designing and developing devices and systems. Mechanisms, composed of interconnected elements, transform the energy applied to the input link into motion or force in the output link. Mechanisms are found in a wide variety of machines, from industrial machines to household machines. In this paper, a mechanism synthesis method is developed that can model four-bar linkages and build their cognate mechanisms to be able to select the mechanism that best suits the required work. Studying four-bar mechanisms offers a strong foundation for grasping more complex mechanical systems. The concepts and principles learned from four-bar mechanisms are widely applicable to advanced mechanical systems, making them a crucial starting point in mechanical engineering education and research. The mechanism synthesis method proposed in this article is organized into three main sections. The first section provides a comprehensive overview of the theoretical and mathematical foundations required for modeling mechanisms, laying the groundwork for understanding the subsequent calculations. The second section delves into the process of obtaining and analyzing the initial mechanism and constructing cognate mechanisms, detailing the procedures and algorithms used for modeling and calculating the coupling curve. Finally, the third section discusses the practical implementation of the method, including the graphical representation of mechanisms and a comparative analysis of the solutions obtained, assessing dimensional differences, design and manufacturing efficiency, and their suitability for various practical applications. The proposed four-bar mechanism synthesis method serves as a valuable tool for mechanism design, offering versatile and adaptable solutions that can optimize both technical performance and economic viability across a wide range of engineering applications. |
| format | Article |
| id | doaj-art-2c55c7ae3d344d1fbaec7b24dabeb5f5 |
| institution | Kabale University |
| issn | 2227-7390 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-2c55c7ae3d344d1fbaec7b24dabeb5f52025-01-10T13:17:57ZengMDPI AGMathematics2227-73902024-12-011311110.3390/math13010011Mathematical Dimensional Synthesis of Four-Bar Linkages Based on Cognate MechanismsEnrique Soriano-Heras0Carlos Pérez-Carrera1Higinio Rubio2Department of Mechanical Engineering, University Carlos III of Madrid, Avda. de la Universidad, 30, 28911 Madrid, SpainDepartment of Industrial Engineering, University of Salerno, Via Giovanni Paolo II, 132, 84084 Fisciano, ItalyDepartment of Mechanical Engineering, University Carlos III of Madrid, Avda. de la Universidad, 30, 28911 Madrid, SpainIn the field of mechanical engineering, understanding mechanisms is essential for designing and developing devices and systems. Mechanisms, composed of interconnected elements, transform the energy applied to the input link into motion or force in the output link. Mechanisms are found in a wide variety of machines, from industrial machines to household machines. In this paper, a mechanism synthesis method is developed that can model four-bar linkages and build their cognate mechanisms to be able to select the mechanism that best suits the required work. Studying four-bar mechanisms offers a strong foundation for grasping more complex mechanical systems. The concepts and principles learned from four-bar mechanisms are widely applicable to advanced mechanical systems, making them a crucial starting point in mechanical engineering education and research. The mechanism synthesis method proposed in this article is organized into three main sections. The first section provides a comprehensive overview of the theoretical and mathematical foundations required for modeling mechanisms, laying the groundwork for understanding the subsequent calculations. The second section delves into the process of obtaining and analyzing the initial mechanism and constructing cognate mechanisms, detailing the procedures and algorithms used for modeling and calculating the coupling curve. Finally, the third section discusses the practical implementation of the method, including the graphical representation of mechanisms and a comparative analysis of the solutions obtained, assessing dimensional differences, design and manufacturing efficiency, and their suitability for various practical applications. The proposed four-bar mechanism synthesis method serves as a valuable tool for mechanism design, offering versatile and adaptable solutions that can optimize both technical performance and economic viability across a wide range of engineering applications.https://www.mdpi.com/2227-7390/13/1/11dimensional synthesisfour-bar linkagecognate mechanismpath and motion generationoptimization methods |
| spellingShingle | Enrique Soriano-Heras Carlos Pérez-Carrera Higinio Rubio Mathematical Dimensional Synthesis of Four-Bar Linkages Based on Cognate Mechanisms Mathematics dimensional synthesis four-bar linkage cognate mechanism path and motion generation optimization methods |
| title | Mathematical Dimensional Synthesis of Four-Bar Linkages Based on Cognate Mechanisms |
| title_full | Mathematical Dimensional Synthesis of Four-Bar Linkages Based on Cognate Mechanisms |
| title_fullStr | Mathematical Dimensional Synthesis of Four-Bar Linkages Based on Cognate Mechanisms |
| title_full_unstemmed | Mathematical Dimensional Synthesis of Four-Bar Linkages Based on Cognate Mechanisms |
| title_short | Mathematical Dimensional Synthesis of Four-Bar Linkages Based on Cognate Mechanisms |
| title_sort | mathematical dimensional synthesis of four bar linkages based on cognate mechanisms |
| topic | dimensional synthesis four-bar linkage cognate mechanism path and motion generation optimization methods |
| url | https://www.mdpi.com/2227-7390/13/1/11 |
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