Jerzy Margielewicz , Damian Gąska , Carlo Trigona , Suhail Ahmed Almani , Grzegorz Litak
{"title":"磁体结构对驱动系统扭转振动能量收集的影响","authors":"Jerzy Margielewicz , Damian Gąska , Carlo Trigona , Suhail Ahmed Almani , Grzegorz Litak","doi":"10.1016/j.apm.2025.116510","DOIUrl":null,"url":null,"abstract":"<div><div>This study examines how well a flexible cantilever beam system harvests energy in various potential configurations impacted by rotating magnets. The essence of such a design solution is a time-varying, depending on the rotational velocity of the shaft, potential function. We analyze such a method of excitation in the first part of the work, formulating 4 main models of placement and polarization of magnets. We investigated the influence of geometrical and excitation parameters in a very wide range, including the arrangement of magnets, their number, and polarity, and the possible occurrence of coexisting solutions, chaotic and periodic motion zones, and their impact on energy effectiveness. For this purpose, we used nonlinear dynamics tools such as Poincare sections, bifurcation diagrams, and amplitude-frequency spectrum. Due to the strongly nonlinear nature of the system, the novelty in this work is the optimization of its performance based on the analysis of dynamics in a wide range of excitation and design parameters as well as chaotic and periodic motion zones. These observations provide useful recommendations for the optimization of magnetically influenced rotational energy harvesting system.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"151 ","pages":"Article 116510"},"PeriodicalIF":4.4000,"publicationDate":"2025-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The influence of magnet configuration on energy harvesting from torsional vibrations of drive systems\",\"authors\":\"Jerzy Margielewicz , Damian Gąska , Carlo Trigona , Suhail Ahmed Almani , Grzegorz Litak\",\"doi\":\"10.1016/j.apm.2025.116510\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>This study examines how well a flexible cantilever beam system harvests energy in various potential configurations impacted by rotating magnets. The essence of such a design solution is a time-varying, depending on the rotational velocity of the shaft, potential function. We analyze such a method of excitation in the first part of the work, formulating 4 main models of placement and polarization of magnets. We investigated the influence of geometrical and excitation parameters in a very wide range, including the arrangement of magnets, their number, and polarity, and the possible occurrence of coexisting solutions, chaotic and periodic motion zones, and their impact on energy effectiveness. For this purpose, we used nonlinear dynamics tools such as Poincare sections, bifurcation diagrams, and amplitude-frequency spectrum. Due to the strongly nonlinear nature of the system, the novelty in this work is the optimization of its performance based on the analysis of dynamics in a wide range of excitation and design parameters as well as chaotic and periodic motion zones. These observations provide useful recommendations for the optimization of magnetically influenced rotational energy harvesting system.</div></div>\",\"PeriodicalId\":50980,\"journal\":{\"name\":\"Applied Mathematical Modelling\",\"volume\":\"151 \",\"pages\":\"Article 116510\"},\"PeriodicalIF\":4.4000,\"publicationDate\":\"2025-10-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Applied Mathematical Modelling\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0307904X25005840\",\"RegionNum\":2,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"ENGINEERING, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematical Modelling","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0307904X25005840","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}
The influence of magnet configuration on energy harvesting from torsional vibrations of drive systems
This study examines how well a flexible cantilever beam system harvests energy in various potential configurations impacted by rotating magnets. The essence of such a design solution is a time-varying, depending on the rotational velocity of the shaft, potential function. We analyze such a method of excitation in the first part of the work, formulating 4 main models of placement and polarization of magnets. We investigated the influence of geometrical and excitation parameters in a very wide range, including the arrangement of magnets, their number, and polarity, and the possible occurrence of coexisting solutions, chaotic and periodic motion zones, and their impact on energy effectiveness. For this purpose, we used nonlinear dynamics tools such as Poincare sections, bifurcation diagrams, and amplitude-frequency spectrum. Due to the strongly nonlinear nature of the system, the novelty in this work is the optimization of its performance based on the analysis of dynamics in a wide range of excitation and design parameters as well as chaotic and periodic motion zones. These observations provide useful recommendations for the optimization of magnetically influenced rotational energy harvesting system.
期刊介绍:
Applied Mathematical Modelling focuses on research related to the mathematical modelling of engineering and environmental processes, manufacturing, and industrial systems. A significant emerging area of research activity involves multiphysics processes, and contributions in this area are particularly encouraged.
This influential publication covers a wide spectrum of subjects including heat transfer, fluid mechanics, CFD, and transport phenomena; solid mechanics and mechanics of metals; electromagnets and MHD; reliability modelling and system optimization; finite volume, finite element, and boundary element procedures; modelling of inventory, industrial, manufacturing and logistics systems for viable decision making; civil engineering systems and structures; mineral and energy resources; relevant software engineering issues associated with CAD and CAE; and materials and metallurgical engineering.
Applied Mathematical Modelling is primarily interested in papers developing increased insights into real-world problems through novel mathematical modelling, novel applications or a combination of these. Papers employing existing numerical techniques must demonstrate sufficient novelty in the solution of practical problems. Papers on fuzzy logic in decision-making or purely financial mathematics are normally not considered. Research on fractional differential equations, bifurcation, and numerical methods needs to include practical examples. Population dynamics must solve realistic scenarios. Papers in the area of logistics and business modelling should demonstrate meaningful managerial insight. Submissions with no real-world application will not be considered.