Mathematical modeling of flexible printed circuit configuration: a study in deformation and optimization
Abstract This manuscript offers an exhaustive analysis of Flexible Printed Circuits (FPCs), concentrating on enhancing their design to surmount two primary challenges. Firstly, it seeks to obviate contact with proximate components. Secondly, it aspires to adhere to pre-established curvature constrai...
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| Language: | English |
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Nature Portfolio
2024-06-01
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| Series: | Scientific Reports |
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| Online Access: | https://doi.org/10.1038/s41598-024-64770-6 |
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| author | Longhui Meng Liang Ding Aqib Mashood Khan Mohammed Alkahtani Yicai Shan |
| author_facet | Longhui Meng Liang Ding Aqib Mashood Khan Mohammed Alkahtani Yicai Shan |
| author_sort | Longhui Meng |
| collection | DOAJ |
| description | Abstract This manuscript offers an exhaustive analysis of Flexible Printed Circuits (FPCs), concentrating on enhancing their design to surmount two primary challenges. Firstly, it seeks to obviate contact with proximate components. Secondly, it aspires to adhere to pre-established curvature constraints. Predicated on the curvature properties of FPCs, we have developed a model adept at accurately forecasting FPC deformation under diverse conditions. Our inquiry entails a thorough examination of various FPC configurations, including bell, 'U', and 'S' shapes. Central to our methodology is the strategic optimization of FPC spatial arrangements, aiming to avert mechanical interference and control curvature, thus mitigating mechanical strain. This dual-faceted strategy is pivotal in enhancing the durability and operational reliability of FPCs, particularly in contexts demanding elevated flexibility and precision. Our research offers essential insights into the refinement of FPC design, skillfully addressing the complexities associated with curvature and physical interaction. Collectively, this study advocates a comprehensive framework for the design and implementation of FPCs, significantly advancing the field of contemporary electronics by ensuring these components meet the evolving demands of the industry. |
| format | Article |
| id | doaj-art-6b7759e4063e42968b0906e824ce180b |
| institution | Kabale University |
| issn | 2045-2322 |
| language | English |
| publishDate | 2024-06-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj-art-6b7759e4063e42968b0906e824ce180b2025-01-26T12:35:01ZengNature PortfolioScientific Reports2045-23222024-06-0114112310.1038/s41598-024-64770-6Mathematical modeling of flexible printed circuit configuration: a study in deformation and optimizationLonghui Meng0Liang Ding1Aqib Mashood Khan2Mohammed Alkahtani3Yicai Shan4School of Mechanical and Power Engineering, Nanjing Tech UniversityNanjing WIT Science and Technology Co., LtdCollege of Mechanical and Electrical Engineering, Nanjing University of Aeronautics and AstronauticsDepartment of Industrial Engineering, College of Engineering, King Saud UniversitySchool of Electronic Engineering, Nanjing Xiaozhuang UniversityAbstract This manuscript offers an exhaustive analysis of Flexible Printed Circuits (FPCs), concentrating on enhancing their design to surmount two primary challenges. Firstly, it seeks to obviate contact with proximate components. Secondly, it aspires to adhere to pre-established curvature constraints. Predicated on the curvature properties of FPCs, we have developed a model adept at accurately forecasting FPC deformation under diverse conditions. Our inquiry entails a thorough examination of various FPC configurations, including bell, 'U', and 'S' shapes. Central to our methodology is the strategic optimization of FPC spatial arrangements, aiming to avert mechanical interference and control curvature, thus mitigating mechanical strain. This dual-faceted strategy is pivotal in enhancing the durability and operational reliability of FPCs, particularly in contexts demanding elevated flexibility and precision. Our research offers essential insights into the refinement of FPC design, skillfully addressing the complexities associated with curvature and physical interaction. Collectively, this study advocates a comprehensive framework for the design and implementation of FPCs, significantly advancing the field of contemporary electronics by ensuring these components meet the evolving demands of the industry.https://doi.org/10.1038/s41598-024-64770-6Flexible printed circuits (FPCs)Finite element method (FEM)Curvature optimizationJacobi matrix iterative methodElectronic circuit design |
| spellingShingle | Longhui Meng Liang Ding Aqib Mashood Khan Mohammed Alkahtani Yicai Shan Mathematical modeling of flexible printed circuit configuration: a study in deformation and optimization Scientific Reports Flexible printed circuits (FPCs) Finite element method (FEM) Curvature optimization Jacobi matrix iterative method Electronic circuit design |
| title | Mathematical modeling of flexible printed circuit configuration: a study in deformation and optimization |
| title_full | Mathematical modeling of flexible printed circuit configuration: a study in deformation and optimization |
| title_fullStr | Mathematical modeling of flexible printed circuit configuration: a study in deformation and optimization |
| title_full_unstemmed | Mathematical modeling of flexible printed circuit configuration: a study in deformation and optimization |
| title_short | Mathematical modeling of flexible printed circuit configuration: a study in deformation and optimization |
| title_sort | mathematical modeling of flexible printed circuit configuration a study in deformation and optimization |
| topic | Flexible printed circuits (FPCs) Finite element method (FEM) Curvature optimization Jacobi matrix iterative method Electronic circuit design |
| url | https://doi.org/10.1038/s41598-024-64770-6 |
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