{"title":"增材制造蜂窝芯夹芯板的静稳定性研究","authors":"M.V. Chernobryvko, K.V. Avramov, B.V. Uspenskyi, I.S. Marshuba","doi":"10.15407/itm2023.03.088","DOIUrl":null,"url":null,"abstract":"This paper presents approaches to and the results of finite-element analysis of static buckling in cylindrical sandwich panels. The core layer of the panels is a polylactide honeycomb core 3D printed using the Fused Deposition Modeling (FDM) additive technology. The two thin face layers are made of carbon fiber reinforced polymer. Such structures are promising for use as structural elements of rockets and drones. For them, the determination of stability under longitudinal and radial loads is an important issue. The global buckling of a cylindrical panel under longitudinal loads and the local buckling of a honeycomb core as a plate structure under radial loads are studied. The geometrically nonlinear deformation of a cylindrical panel under a combination of transverse and radial loads is studied. Seven cylindrical sandwich panels with the radius-to-thickness ratio in the range 5 ? R/h ? 50 and a sandwich plate are considered. The effect of the radius of curvature on the characteristics of local and global buckling is investigated. The problem is solved by the finite element method using the ANSYS software system. The convergence of the finite element model was investigated. For this purpose, a strained state under the action of a longitudinal load was studied. The finite-element mesh parameters were selected to ensure the convergence of the results. Two finite element models, an “exact” one and an “approximate” one, were constructed to investigate global buckling under longitudinal loads. The «exact» model includes a honeycomb core represented by its geometry. In the «approximate» model of the sandwich panel, the honeycomb core is replaced with an equivalent homogenized layer. It was found that for longitudinal loads the modes of the global buckling of the cylindrical sandwich panels and the sandwich plate under study are almost the same. It was shown that the critical loads obtained by the «exact» and the «approximate» model are close. It was found that when a cylindrical panel is deformed under the action of a combination of longitudinal and radial subcritical loads, the calculated results for the «exact» and the «approximate» model are close. Therefore, longitudinal buckling can be considered using the homogenized model, which is much simpler in terms of computations.","PeriodicalId":474124,"journal":{"name":"Tehničeskaâ mehanika","volume":"5 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Static stability of sandwich panels with honeycomb cores made by additive technologies\",\"authors\":\"M.V. Chernobryvko, K.V. Avramov, B.V. Uspenskyi, I.S. Marshuba\",\"doi\":\"10.15407/itm2023.03.088\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper presents approaches to and the results of finite-element analysis of static buckling in cylindrical sandwich panels. The core layer of the panels is a polylactide honeycomb core 3D printed using the Fused Deposition Modeling (FDM) additive technology. The two thin face layers are made of carbon fiber reinforced polymer. Such structures are promising for use as structural elements of rockets and drones. For them, the determination of stability under longitudinal and radial loads is an important issue. The global buckling of a cylindrical panel under longitudinal loads and the local buckling of a honeycomb core as a plate structure under radial loads are studied. The geometrically nonlinear deformation of a cylindrical panel under a combination of transverse and radial loads is studied. Seven cylindrical sandwich panels with the radius-to-thickness ratio in the range 5 ? R/h ? 50 and a sandwich plate are considered. The effect of the radius of curvature on the characteristics of local and global buckling is investigated. The problem is solved by the finite element method using the ANSYS software system. The convergence of the finite element model was investigated. For this purpose, a strained state under the action of a longitudinal load was studied. The finite-element mesh parameters were selected to ensure the convergence of the results. Two finite element models, an “exact” one and an “approximate” one, were constructed to investigate global buckling under longitudinal loads. The «exact» model includes a honeycomb core represented by its geometry. In the «approximate» model of the sandwich panel, the honeycomb core is replaced with an equivalent homogenized layer. It was found that for longitudinal loads the modes of the global buckling of the cylindrical sandwich panels and the sandwich plate under study are almost the same. It was shown that the critical loads obtained by the «exact» and the «approximate» model are close. It was found that when a cylindrical panel is deformed under the action of a combination of longitudinal and radial subcritical loads, the calculated results for the «exact» and the «approximate» model are close. 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引用次数: 0
摘要
本文介绍了圆柱夹芯板静力屈曲的有限元分析方法和结果。面板的核心层是使用熔融沉积建模(FDM)添加剂技术3D打印的聚丙交酯蜂窝核心。两个薄的表面层是由碳纤维增强聚合物制成的。这种结构有望用作火箭和无人机的结构元件。对他们来说,确定纵向和径向载荷下的稳定性是一个重要问题。研究了圆柱板在纵向荷载作用下的整体屈曲和蜂窝芯作为板结构在径向荷载作用下的局部屈曲。研究了圆柱板在横向和径向载荷共同作用下的几何非线性变形。7个圆柱形夹层板,半径/厚度比在5 ?R / h ?50和一个三明治盘。研究了曲率半径对局部和全局屈曲特性的影响。利用ANSYS软件系统,采用有限元法进行求解。研究了有限元模型的收敛性。为此,研究了纵向荷载作用下的应变状态。为了保证结果的收敛性,选择了有限元网格参数。建立了两个有限元模型,一个“精确”模型和一个“近似”模型来研究纵向载荷下的整体屈曲。“精确”模型包括一个由其几何形状表示的蜂窝核心。在夹层板的“近似”模型中,蜂窝芯被等效的均质层所取代。结果表明,在纵向荷载作用下,圆柱形夹层板和夹层板的整体屈曲模态基本一致。结果表明,“精确”模型和“近似”模型得到的临界载荷是接近的。研究发现,当圆柱板在纵向和径向亚临界载荷共同作用下发生变形时,“精确”模型和“近似”模型的计算结果是接近的。因此,可以采用均匀化模型考虑纵向屈曲,计算简单得多。
Static stability of sandwich panels with honeycomb cores made by additive technologies
This paper presents approaches to and the results of finite-element analysis of static buckling in cylindrical sandwich panels. The core layer of the panels is a polylactide honeycomb core 3D printed using the Fused Deposition Modeling (FDM) additive technology. The two thin face layers are made of carbon fiber reinforced polymer. Such structures are promising for use as structural elements of rockets and drones. For them, the determination of stability under longitudinal and radial loads is an important issue. The global buckling of a cylindrical panel under longitudinal loads and the local buckling of a honeycomb core as a plate structure under radial loads are studied. The geometrically nonlinear deformation of a cylindrical panel under a combination of transverse and radial loads is studied. Seven cylindrical sandwich panels with the radius-to-thickness ratio in the range 5 ? R/h ? 50 and a sandwich plate are considered. The effect of the radius of curvature on the characteristics of local and global buckling is investigated. The problem is solved by the finite element method using the ANSYS software system. The convergence of the finite element model was investigated. For this purpose, a strained state under the action of a longitudinal load was studied. The finite-element mesh parameters were selected to ensure the convergence of the results. Two finite element models, an “exact” one and an “approximate” one, were constructed to investigate global buckling under longitudinal loads. The «exact» model includes a honeycomb core represented by its geometry. In the «approximate» model of the sandwich panel, the honeycomb core is replaced with an equivalent homogenized layer. It was found that for longitudinal loads the modes of the global buckling of the cylindrical sandwich panels and the sandwich plate under study are almost the same. It was shown that the critical loads obtained by the «exact» and the «approximate» model are close. It was found that when a cylindrical panel is deformed under the action of a combination of longitudinal and radial subcritical loads, the calculated results for the «exact» and the «approximate» model are close. Therefore, longitudinal buckling can be considered using the homogenized model, which is much simpler in terms of computations.