{"title":"Visualization of the Process of Static Buckling of a Micropolar Meshed Cylindrical Panel","authors":"E. Krylova, I. Papkova, V. Krysko","doi":"10.51130/graphicon-2020-2-4-10","DOIUrl":null,"url":null,"abstract":"Process visualization of static stability loss in mechanics is shown by the micropolar meshed cylindrical panel example with two families of mutually perpendicular ribs. The mathematical model of the panel's behavior is based on the Kirchhoff-Love hypotheses. The micropolar theory is applied to ac-count for scale effects. Geometric nonlinearity is taken into account according to the theory of Theodor von Karman. The mesh structure is taken into account based on the Pshenichnov I. G. continuum model. Visualization of numerical results using Autodesk 3ds Max software made it possible to more clearly assess the phenomenon of static buckling of the shell in question. Visualization of the results using 3D made it possible to establish that an in-crease in the distance between the edges of the mesh panel and an increase in the parameter depending on the size does not change the bending shape of the panel, as well as the diagrams of moments and forces at subcritical and supercritical loads.","PeriodicalId":344054,"journal":{"name":"Proceedings of the 30th International Conference on Computer Graphics and Machine Vision (GraphiCon 2020). Part 2","volume":"30 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 30th International Conference on Computer Graphics and Machine Vision (GraphiCon 2020). Part 2","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.51130/graphicon-2020-2-4-10","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Process visualization of static stability loss in mechanics is shown by the micropolar meshed cylindrical panel example with two families of mutually perpendicular ribs. The mathematical model of the panel's behavior is based on the Kirchhoff-Love hypotheses. The micropolar theory is applied to ac-count for scale effects. Geometric nonlinearity is taken into account according to the theory of Theodor von Karman. The mesh structure is taken into account based on the Pshenichnov I. G. continuum model. Visualization of numerical results using Autodesk 3ds Max software made it possible to more clearly assess the phenomenon of static buckling of the shell in question. Visualization of the results using 3D made it possible to establish that an in-crease in the distance between the edges of the mesh panel and an increase in the parameter depending on the size does not change the bending shape of the panel, as well as the diagrams of moments and forces at subcritical and supercritical loads.
以具有两族相互垂直肋的微极网格圆柱板为例,给出了力学静力稳定性损失的可视化过程。小组行为的数学模型是基于Kirchhoff-Love假设。微极理论被用来解释规模效应。根据西奥多·冯·卡门的理论,考虑了几何非线性。基于Pshenichnov I. G.连续体模型考虑了网格结构。使用Autodesk 3ds Max软件对数值结果进行可视化,可以更清楚地评估所讨论的壳体静态屈曲现象。使用3D技术对结果进行可视化,可以确定网格面板边缘之间距离的增加和参数的增加(取决于尺寸)不会改变面板的弯曲形状,以及在亚临界和超临界载荷下的力矩和力图。