Asma Alanazy , Galal M. Moatimid , T.S. Amer , Mona A.A. Mohamed
{"title":"一种分析二自由度耦合动力系统的创新方法","authors":"Asma Alanazy , Galal M. Moatimid , T.S. Amer , Mona A.A. Mohamed","doi":"10.1016/j.asej.2025.103770","DOIUrl":null,"url":null,"abstract":"<div><div>Analyzing two-degrees-of-freedom (2DOF) coupled dynamical systems is crucial in<!--> <!-->understanding complex interactions in mechanical, structural, and aerospace engineering. Advanced analytical and numerical methods elucidate complicated behavior<!--> <!-->relevant to bio-inspired systems, smart materials, and vibration control. Consequently, the present topic centers on a recognized benchmark challenge in the field of a cart-pendulum system. The non-perturbative approach (NPA) underlies the unique analysis. The principal aim of the NPA is to convert weakly nonlinear oscillators of ordinary differential equations (ODEs) into linear forms. The swift evaluation of the frequency-amplitude correlation is essential in<!--> <!-->acquiring successive approximations of responses to parametric nonlinear fluctuations. The influence of several parameters on the stability of steady states is examined. The results demonstrated that the suggested technique is exceptionally intuitive, extremely effective, and firmly established. The alteration of bifurcation parameters influences the configuration of the bifurcation curve. The Lyapunov exponent (LE) curves are additionally illustrated.</div></div>","PeriodicalId":48648,"journal":{"name":"Ain Shams Engineering Journal","volume":"16 12","pages":"Article 103770"},"PeriodicalIF":5.9000,"publicationDate":"2025-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An innovative methodology in analyzing two-degrees-of-freedom of coupled dynamical system\",\"authors\":\"Asma Alanazy , Galal M. Moatimid , T.S. Amer , Mona A.A. Mohamed\",\"doi\":\"10.1016/j.asej.2025.103770\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>Analyzing two-degrees-of-freedom (2DOF) coupled dynamical systems is crucial in<!--> <!-->understanding complex interactions in mechanical, structural, and aerospace engineering. Advanced analytical and numerical methods elucidate complicated behavior<!--> <!-->relevant to bio-inspired systems, smart materials, and vibration control. Consequently, the present topic centers on a recognized benchmark challenge in the field of a cart-pendulum system. The non-perturbative approach (NPA) underlies the unique analysis. The principal aim of the NPA is to convert weakly nonlinear oscillators of ordinary differential equations (ODEs) into linear forms. The swift evaluation of the frequency-amplitude correlation is essential in<!--> <!-->acquiring successive approximations of responses to parametric nonlinear fluctuations. The influence of several parameters on the stability of steady states is examined. The results demonstrated that the suggested technique is exceptionally intuitive, extremely effective, and firmly established. The alteration of bifurcation parameters influences the configuration of the bifurcation curve. The Lyapunov exponent (LE) curves are additionally illustrated.</div></div>\",\"PeriodicalId\":48648,\"journal\":{\"name\":\"Ain Shams Engineering Journal\",\"volume\":\"16 12\",\"pages\":\"Article 103770\"},\"PeriodicalIF\":5.9000,\"publicationDate\":\"2025-09-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Ain Shams Engineering Journal\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2090447925005118\",\"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":"Ain Shams Engineering Journal","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2090447925005118","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}
An innovative methodology in analyzing two-degrees-of-freedom of coupled dynamical system
Analyzing two-degrees-of-freedom (2DOF) coupled dynamical systems is crucial in understanding complex interactions in mechanical, structural, and aerospace engineering. Advanced analytical and numerical methods elucidate complicated behavior relevant to bio-inspired systems, smart materials, and vibration control. Consequently, the present topic centers on a recognized benchmark challenge in the field of a cart-pendulum system. The non-perturbative approach (NPA) underlies the unique analysis. The principal aim of the NPA is to convert weakly nonlinear oscillators of ordinary differential equations (ODEs) into linear forms. The swift evaluation of the frequency-amplitude correlation is essential in acquiring successive approximations of responses to parametric nonlinear fluctuations. The influence of several parameters on the stability of steady states is examined. The results demonstrated that the suggested technique is exceptionally intuitive, extremely effective, and firmly established. The alteration of bifurcation parameters influences the configuration of the bifurcation curve. The Lyapunov exponent (LE) curves are additionally illustrated.
期刊介绍:
in Shams Engineering Journal is an international journal devoted to publication of peer reviewed original high-quality research papers and review papers in both traditional topics and those of emerging science and technology. Areas of both theoretical and fundamental interest as well as those concerning industrial applications, emerging instrumental techniques and those which have some practical application to an aspect of human endeavor, such as the preservation of the environment, health, waste disposal are welcome. The overall focus is on original and rigorous scientific research results which have generic significance.
Ain Shams Engineering Journal focuses upon aspects of mechanical engineering, electrical engineering, civil engineering, chemical engineering, petroleum engineering, environmental engineering, architectural and urban planning engineering. Papers in which knowledge from other disciplines is integrated with engineering are especially welcome like nanotechnology, material sciences, and computational methods as well as applied basic sciences: engineering mathematics, physics and chemistry.