{"title":"Determining the spectrum of frequencies and vibrations rectangular plates, hinged at the edge in different medium.","authors":"K.B. Sabitov, A.G. Khakimov","doi":"10.1016/j.mechrescom.2025.104387","DOIUrl":null,"url":null,"abstract":"<div><div>The spectrum of frequencies and shapes of bending vibrations of a rectangular plates in contact with a liquid or gas is determined. A derivation of the expression for the distributed transverse load on a plate hinged along the contour is given. The surfaces of the plate are in contact with media of different densities and pressures. The medium can be compressible during surface deformation and incompressible. The influence on bending of the interaction of average pressure and curvature change of the middle surface, as well as the added mass of the gaseous medium, is determined.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"145 ","pages":"Article 104387"},"PeriodicalIF":1.9000,"publicationDate":"2025-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanics Research Communications","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0093641325000205","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
The spectrum of frequencies and shapes of bending vibrations of a rectangular plates in contact with a liquid or gas is determined. A derivation of the expression for the distributed transverse load on a plate hinged along the contour is given. The surfaces of the plate are in contact with media of different densities and pressures. The medium can be compressible during surface deformation and incompressible. The influence on bending of the interaction of average pressure and curvature change of the middle surface, as well as the added mass of the gaseous medium, is determined.
期刊介绍:
Mechanics Research Communications publishes, as rapidly as possible, peer-reviewed manuscripts of high standards but restricted length. It aims to provide:
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The field of Mechanics will be understood to encompass the behavior of continua, fluids, solids, particles and their mixtures. Submissions must contain a strong, novel contribution to the field of mechanics, and ideally should be focused on current issues in the field involving theoretical, experimental and/or applied research, preferably within the broad expertise encompassed by the Board of Associate Editors. Deviations from these areas should be discussed in advance with the Editor-in-Chief.