{"title":"STUDYING DYNAMICS OF A CANTILEVER BAR WITH VARIABLE BENDING STIFFNESS","authors":"O. Khabidolda","doi":"10.26577/jmmcs2023v119i3a7","DOIUrl":null,"url":null,"abstract":"In this paper, there are studied the dynamic processes (free and forced oscillations) of isotropiccantilever plates in the form of an isosceles (wedge-shaped) triangle. In the study, the finitedifference method has been applied using a regular one-dimensional (linear) grid. The finite-difference equations developed by the authors for point-distributed masses along the length ofthe wedge are presented, taking into account the linearly variable bending stiffness. On this basis,the results of studies in the form of amplitude-frequency characteristics (frequencies, dynamicforces and deflections) in the resonant and near-resonant regions have been obtained. The contentof theoretical provisions and applied results can be widely used in the scientific and engineeringfields and in the field of mechanics of structures.","PeriodicalId":53167,"journal":{"name":"Vestnik KazNU Seriia matematika mekhanika informatika","volume":"35 1","pages":"0"},"PeriodicalIF":0.3000,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Vestnik KazNU Seriia matematika mekhanika informatika","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.26577/jmmcs2023v119i3a7","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, there are studied the dynamic processes (free and forced oscillations) of isotropiccantilever plates in the form of an isosceles (wedge-shaped) triangle. In the study, the finitedifference method has been applied using a regular one-dimensional (linear) grid. The finite-difference equations developed by the authors for point-distributed masses along the length ofthe wedge are presented, taking into account the linearly variable bending stiffness. On this basis,the results of studies in the form of amplitude-frequency characteristics (frequencies, dynamicforces and deflections) in the resonant and near-resonant regions have been obtained. The contentof theoretical provisions and applied results can be widely used in the scientific and engineeringfields and in the field of mechanics of structures.
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