{"title":"考虑能量传递的圆形管道中两个线性振子的索默菲尔德效应及同步特性","authors":"Chen Chen, Xueliang Zhang, Wenchao Hu, Yudong Peng, Bangchun Wen","doi":"10.1007/s43452-025-01124-7","DOIUrl":null,"url":null,"abstract":"<div><p>This paper aims to explore a system with two linear oscillators coupled in a circular pipeline and clarify the synchronous mechanism from the viewpoint of energy transfer. Considering the mass of the motor housing and stator, etc., this paper presents a continuous model of a pipeline system with concentrated mass and discretizes it using the Galerkin method under simply supported conditions. The synchronization criteria are then derived from the energy integration of the motion equations. The mutual comparison of the characteristic analysis and the numerical results verifies the effectiveness of the theoretical investigation in the present paper, and the system exhibits synchronous behavior in the non-resonant region. The Sommerfeld effect near the 1st-order resonance region is explored, and the minimum supplied power frequency threshold is found for the system to pass through the capture-jump behavior. Additionally, the influence of structural parameters such as pipeline internal diameter, oscillator mass, and excitation location on the synchronization behavior of the system is discussed. These results are expected to provide good support for understanding the synchronous behavior in pipelines and vibration utilization techniques in pipeline transportation.</p></div>","PeriodicalId":55474,"journal":{"name":"Archives of Civil and Mechanical Engineering","volume":"25 2","pages":""},"PeriodicalIF":4.4000,"publicationDate":"2025-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Sommerfeld effect and synchronization characteristics of two linear oscillators in a circular pipeline considering energy transfer\",\"authors\":\"Chen Chen, Xueliang Zhang, Wenchao Hu, Yudong Peng, Bangchun Wen\",\"doi\":\"10.1007/s43452-025-01124-7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>This paper aims to explore a system with two linear oscillators coupled in a circular pipeline and clarify the synchronous mechanism from the viewpoint of energy transfer. Considering the mass of the motor housing and stator, etc., this paper presents a continuous model of a pipeline system with concentrated mass and discretizes it using the Galerkin method under simply supported conditions. The synchronization criteria are then derived from the energy integration of the motion equations. The mutual comparison of the characteristic analysis and the numerical results verifies the effectiveness of the theoretical investigation in the present paper, and the system exhibits synchronous behavior in the non-resonant region. The Sommerfeld effect near the 1st-order resonance region is explored, and the minimum supplied power frequency threshold is found for the system to pass through the capture-jump behavior. Additionally, the influence of structural parameters such as pipeline internal diameter, oscillator mass, and excitation location on the synchronization behavior of the system is discussed. These results are expected to provide good support for understanding the synchronous behavior in pipelines and vibration utilization techniques in pipeline transportation.</p></div>\",\"PeriodicalId\":55474,\"journal\":{\"name\":\"Archives of Civil and Mechanical Engineering\",\"volume\":\"25 2\",\"pages\":\"\"},\"PeriodicalIF\":4.4000,\"publicationDate\":\"2025-02-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Archives of Civil and Mechanical Engineering\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s43452-025-01124-7\",\"RegionNum\":3,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"ENGINEERING, CIVIL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Archives of Civil and Mechanical Engineering","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s43452-025-01124-7","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, CIVIL","Score":null,"Total":0}
Sommerfeld effect and synchronization characteristics of two linear oscillators in a circular pipeline considering energy transfer
This paper aims to explore a system with two linear oscillators coupled in a circular pipeline and clarify the synchronous mechanism from the viewpoint of energy transfer. Considering the mass of the motor housing and stator, etc., this paper presents a continuous model of a pipeline system with concentrated mass and discretizes it using the Galerkin method under simply supported conditions. The synchronization criteria are then derived from the energy integration of the motion equations. The mutual comparison of the characteristic analysis and the numerical results verifies the effectiveness of the theoretical investigation in the present paper, and the system exhibits synchronous behavior in the non-resonant region. The Sommerfeld effect near the 1st-order resonance region is explored, and the minimum supplied power frequency threshold is found for the system to pass through the capture-jump behavior. Additionally, the influence of structural parameters such as pipeline internal diameter, oscillator mass, and excitation location on the synchronization behavior of the system is discussed. These results are expected to provide good support for understanding the synchronous behavior in pipelines and vibration utilization techniques in pipeline transportation.
期刊介绍：
Archives of Civil and Mechanical Engineering (ACME) publishes both theoretical and experimental original research articles which explore or exploit new ideas and techniques in three main areas: structural engineering, mechanics of materials and materials science.
The aim of the journal is to advance science related to structural engineering focusing on structures, machines and mechanical systems. The journal also promotes advancement in the area of mechanics of materials, by publishing most recent findings in elasticity, plasticity, rheology, fatigue and fracture mechanics.
The third area the journal is concentrating on is materials science, with emphasis on metals, composites, etc., their structures and properties as well as methods of evaluation.
In addition to research papers, the Editorial Board welcomes state-of-the-art reviews on specialized topics. All such articles have to be sent to the Editor-in-Chief before submission for pre-submission review process. Only articles approved by the Editor-in-Chief in pre-submission process can be submitted to the journal for further processing. Approval in pre-submission stage doesn''t guarantee acceptance for publication as all papers are subject to a regular referee procedure.
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