{"title":"Analytical and Numerical Modelling of a Buckling in a Plastic Regime of a Homogeneous Console with Symmetrical Cross Section","authors":"V. V. Chistyakov","doi":"10.1134/S1063784224060069","DOIUrl":null,"url":null,"abstract":"<p>The method of numerical-analytical modeling using Maple 18 of the strong buckling of a uniform console with a symmetrical cross-section is presented. The range of plastic deformations in a materials with conditional yield strength (CYS) is studied. Standard profiles and sections made of low-carbon steel, titanium, polyethylene etc. were investigated. Were found and compared with the proper Eulerian values the critical loads of <i>F</i><sub>cr</sub>, <i>N</i>, the shape of buckled console <i>y</i>(<i>z</i>). The quasi-identity of the latter is established for the same slope <i>p</i><sub><i>f</i></sub> = <i>dy</i>/<i>dz</i> near the free console end. The method can be applied in robotics, structural mechanics, medical prosthetics, etc. where the materials been used with relatively high Young’s modulus and low the CYS.</p>","PeriodicalId":783,"journal":{"name":"Technical Physics","volume":"69 6","pages":"1514 - 1517"},"PeriodicalIF":1.1000,"publicationDate":"2024-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Technical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S1063784224060069","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
The method of numerical-analytical modeling using Maple 18 of the strong buckling of a uniform console with a symmetrical cross-section is presented. The range of plastic deformations in a materials with conditional yield strength (CYS) is studied. Standard profiles and sections made of low-carbon steel, titanium, polyethylene etc. were investigated. Were found and compared with the proper Eulerian values the critical loads of Fcr, N, the shape of buckled console y(z). The quasi-identity of the latter is established for the same slope pf = dy/dz near the free console end. The method can be applied in robotics, structural mechanics, medical prosthetics, etc. where the materials been used with relatively high Young’s modulus and low the CYS.
期刊介绍：
Technical Physics is a journal that contains practical information on all aspects of applied physics, especially instrumentation and measurement techniques. Particular emphasis is put on plasma physics and related fields such as studies of charged particles in electromagnetic fields, synchrotron radiation, electron and ion beams, gas lasers and discharges. Other journal topics are the properties of condensed matter, including semiconductors, superconductors, gases, liquids, and different materials.
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