{"title":"帕斯捷尔纳克基础上输液管道固有频率计算分析","authors":"Bing Chen, M. Deng, Z. Yin","doi":"10.4028/www.scientific.net/AMR.668.589","DOIUrl":null,"url":null,"abstract":"The complex mode method and Galerkin method are applied to analyze natural frequency of pinned-pinned Pipe conveying fluid resting on Pasternak foundation. Compared to the exact solution obtained by the complex mode method, the influence of Galerkin modal truncation to natural frequency is elaborated here, and the influence of Pasternak foundation’s shear stiffness, spring stiffness and mass parameter to truncation error are also focused on in this paper. It is concluded that, within specified flow velocity, the increasing of Pasternak foundation’s shear stiffness and spring stiffness will reduce the truncation error produced by Galerkin method, but, comparing with the former, the latter’s influence can be ignored. It is also founded that the truncation error will increase significantly with the increasing of the mass parameter.","PeriodicalId":39941,"journal":{"name":"Journal of Mechanical Strength","volume":"668 1","pages":"589 - 592"},"PeriodicalIF":0.0000,"publicationDate":"2013-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.4028/www.scientific.net/AMR.668.589","citationCount":"1","resultStr":"{\"title\":\"Calculation Analysis of Natural Frequency of Pipe Conveying Fluid Resting on Pasternak Foundation\",\"authors\":\"Bing Chen, M. Deng, Z. Yin\",\"doi\":\"10.4028/www.scientific.net/AMR.668.589\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The complex mode method and Galerkin method are applied to analyze natural frequency of pinned-pinned Pipe conveying fluid resting on Pasternak foundation. Compared to the exact solution obtained by the complex mode method, the influence of Galerkin modal truncation to natural frequency is elaborated here, and the influence of Pasternak foundation’s shear stiffness, spring stiffness and mass parameter to truncation error are also focused on in this paper. It is concluded that, within specified flow velocity, the increasing of Pasternak foundation’s shear stiffness and spring stiffness will reduce the truncation error produced by Galerkin method, but, comparing with the former, the latter’s influence can be ignored. It is also founded that the truncation error will increase significantly with the increasing of the mass parameter.\",\"PeriodicalId\":39941,\"journal\":{\"name\":\"Journal of Mechanical Strength\",\"volume\":\"668 1\",\"pages\":\"589 - 592\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.4028/www.scientific.net/AMR.668.589\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mechanical Strength\",\"FirstCategoryId\":\"1087\",\"ListUrlMain\":\"https://doi.org/10.4028/www.scientific.net/AMR.668.589\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Engineering\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mechanical Strength","FirstCategoryId":"1087","ListUrlMain":"https://doi.org/10.4028/www.scientific.net/AMR.668.589","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Engineering","Score":null,"Total":0}
Calculation Analysis of Natural Frequency of Pipe Conveying Fluid Resting on Pasternak Foundation
The complex mode method and Galerkin method are applied to analyze natural frequency of pinned-pinned Pipe conveying fluid resting on Pasternak foundation. Compared to the exact solution obtained by the complex mode method, the influence of Galerkin modal truncation to natural frequency is elaborated here, and the influence of Pasternak foundation’s shear stiffness, spring stiffness and mass parameter to truncation error are also focused on in this paper. It is concluded that, within specified flow velocity, the increasing of Pasternak foundation’s shear stiffness and spring stiffness will reduce the truncation error produced by Galerkin method, but, comparing with the former, the latter’s influence can be ignored. It is also founded that the truncation error will increase significantly with the increasing of the mass parameter.
期刊介绍：
Journal of Mechanical Strength is an academic and technical journal governed by China Machinery Industry Federation，sponsored by Zhengzhou Research Institute of Mechanical Engineering Co., Ltd. and Chinese Mechanical Engineering Society. It mainly publishes research articles, reviews and newsletters with innovative, economic and practical application in the fields of machinery, strength, vibration and material strength.
Journal of Mechanical Strength was founded in May 1975, bi-monthly issued. The publishing scope covers mechanical structure strength, micro electro mechanical systems (MEMS), reliability, optimization design, mechanical design, calculation methods, fatigue, damage, fracture, vibration, noise, fault diagnosis and monitoring, testing technology, detection and evaluation, testing instruments, experimental stress analysis, residual stress, failure analysis and related interdisciplinary subjects. The aimed readers of the journal are researchers, designers and developers in machinery industry, as well as teachers and students in universities.
The journal is included by the Statistical Source Journal of Chinese Scientific and Technological Papers (Key Magazine of China Technology) (since 1989), Chinese Core Journal (since 1992), Important Chinese Journal of Academic Degrees and Postgraduate Education (since 1995), source journal of the Chinese Science Citation Database (since 1996), Science Abstract (UK) (since 1995), China Quality Scientific and Technological Journals (300 journals) (2008), Top 20 Journals of Natural Science of Henan Province (2008), RCCSE China Authoritative Academic Journal (A+) (2012), and Top 20 Journals of Natural Science of Henan Province (2013). The Journal is also indexed by Scopus Database，Chemical Abstract (CA), Japan Science and Technology Agency (JST), and Report of World Journals Clout Index (WJCI) (2021).
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