Analysis of nonlinear deformation and stability of reinforced elliptic cylindrical shells under bending with internal pressure

A finite element statement of solving problems on stability of reinforced elliptic cylindrical shells taking into account momentness and nonlinearity of their subcritical stress strain state is presented. The explicit expressions for displacements of noncircular cylindrical shell elements as rigid bodies are determined by integrating the equations obtained by equating the components of linear strains to zero. These expressions were used to construct the form functions for an efficient quadrilateral finite element of natural curvature. An efficient numerical algorithm of nonlinear deformation and stability of shells was developed. The stability of reinforced elliptic cylindrical shells under combined loading by bending moment, transverse boundary force and internal pressure is analyzed. We also examine how the critical loads are affected by the strain nonlinearity and ellipticity of shell deformation at the subcritical stage.     

Nonlinear deformation and stability of supported oval cylindrical shells under torsion and bending with internal pressure

A problem of geometrically nonlinear deformation and stability of supported cylindrical shells with the oval cross-section contour is solved by the finite element method. The nonlinear deformation and stability of shells under combined loading by bending, torsion moments, transverse force and internal pressure are analyzed. The critical loads and buckling modes of shells are determined. The influence of deformation nonlinearity and shell ovality on critical loads is clarified.     

Analysis of nonlinear deformation and stability of oval cylindrical shells under combined loading by bending and torsion moments

A problem of geometrically nonlinear deformation and stability of cylindrical shells with noncircular cross-section contour is solved by the finite element method. The nonlinear system of algebraic equations to determine the nodal unknowns of finite elements is obtained with the use of the variational Lagrange principle. The system is solved by the method of successive loadings with the use of the Newton-Kantorovich method of linearization, the method of solving linear Craut’s equations and Sylvestor’s stability criterion. The nonlinear deformation and stability of shells with the oval and elliptical cross-sections under combined loading by bending and torsion moments are analyzed. The critical loads and buckling modes of shells are determined. The influence of deformation nonlinearity, shell ovality and ellipticity on the critical loads is clarified.     

一个非线性拟协调退化壳有限元

 根据非线性协调有限元列式方法,构造了几何非线性拟协调9结点四边形退化壳有限元。首先给出9结点四边形退化壳单元的几何描述和位移模式;接着讨论了非线性协调有限元列式方法;假设应力和应变;然后用所构造的壳单元,进行了方板、圆拱、球壳和圆柱壳的数值分析,并同精确解以及其他单元的解答进行了比较。结果表明本文壳单元是准确的和有效的。     

几何非线性样条单元

 <正>结构的有限变形与稳定性分析具有重要意义。有限元法的应用,促进了几何非线性研究工作的开展。本文在线性样条单元C’〕的基础上提出一种几何非线性样条板壳单元,壳体的应变位移关系采用Von一K巨rmon方案,以分片样条Hermite插值构造单元的位移模式。对于弱非线性问题,采用修正的Newton一Raphson法解非线性方程组。对于极值点失稳情况,以固定弧长法追踪屈曲路径,并用曲线拟合的方法确定结构的临界载荷值。     

Nonlinear Deformation and Stability of Discrete-Reinforced Elliptical Cylindrical Composite Shells under Torsion and Internal Pressure

The problem of strength and stability of shells under torsion and internal pressure was solved. It was found out the influence of the internal pressure, ellipticity and nonlinearity of deformation on the critical buckling load of the shell.     

A technique for calculating rational design parameters of a sandwich shell with account of thermoforce loading

A technique of determining the rational design parameters for a heated sandwich cylindrical shell under the action of external pressure impulse is presented. The load-carrying capacity of the shell is analyzed based on the nonlinear theory of thin elastic shells. The design parameters are optimized using the methods for nonlinear programming.     

复合材料壳体的应力和稳定性分析

一、引言 在现有的文献中,复合材料壳体的稳定性计算,大都采用环元针对轴对称分布载荷的轴对称旋转壳进行的。但是在实际结构中有大量的非轴对称壳体,壳壁大都是变厚度,实际载荷也大多是非轴对称分布,并且往往还有由温度改变而产生的热应力,或称它为“热载”。为了解决这些更为广泛的实际问题,开展了这项研究工作。     

复合材料薄壁圆柱壳体的稳定性

 本文讨论了复合材料圆柱壳体稳定性的复杂性,总结了已经取得的研究成果,并与有关实验进行了比较。重点评述了几何非线性、物理非线性、初始缺陷、横向剪切效应和前屈曲变形状态等因素对失稳性能的影响。对今后的工作给出了建议。     

考虑预应力和液体影响的圆柱壳颤振分析

 为了研究预应力和液体对圆柱壳颤振的影响,采用杂交元方法,建立了圆柱壳的气动弹性方程。由Sanders薄壳理论和经典有限元理论,从壳的精确解推导节点位移函数入手,并由一阶活塞理论得到结构的气动阻尼矩阵和刚度矩阵,最终推导出考虑预应力和内部液体影响的圆柱壳的混合有限元公式和气动弹性方程。通过特征值法验证了此种有限元方法的正确性,并重点研究了预应力和内部注有液体对圆柱壳稳定性的影响。计算结果表明:预应力和液体对圆柱壳的颤振特性有显著的影响。     

圆柱壳体上环形焊缝焊接变形的数值分析

用数值方法研究了圆柱形筒体间环缝及圆柱形筒体与法兰对接后环缝引起的焊接变形，并与试验进行比较，研究结果表明：圆柱形壳体间的对接环缝对法兰平面倾斜没有明显的影响；使圆柱形壳体的径向产生变形；圆柱形壳体与法兰对接环形焊缝将引起壳体的径向变形及法兰平面度的变化；采用纵向收塑力对圆柱形壳体间对接和圆柱形壳体与法兰对接两种环缝进行有限元分析是可行的。     

Research on Nonlinear Deformation and Stability of an Advanced Aircraft Fuselage Composite Section under Pure Bending

The finite element algorithm developed by the authors has been used for solving the strength and stability problems of shells. The effect of deformation nonlinearity, stiffness of stringer set, shell thickness on critical loads has been determined.     

含孔复合材料圆柱壳冲击破坏试验与有限元分析

 为了揭示轴向压缩载荷与径向冲击载荷共同作用下复合材料壳体开孔处裂纹的产生机理,开展了含圆孔复合材料圆柱壳冲击试验,并对冲击试验进行了有限元仿真分析。提出复杂冲击载荷作用下的动态响应分析方法,运用LS-DYNA对冲击载荷作用下含圆孔复合材料圆柱壳动态响应过程进行了模拟,采用含刚度退化的Chang-Chang失效准则预测复合材料圆柱壳破坏过程,得到的冲击加速度响应曲线及破坏区域与试验结果一致,验证了本文方法的正确性。对有限元模型进行动力学及静力学破坏分析,结果表明,径向冲击引起的环向拉应力是圆孔边缘破坏区域90°铺层纤维断裂与基体开裂的主要原因,而拉应力只引起0°铺层基体开裂。由破坏起始分析可知,将复合材料圆柱壳90°铺层含量由20%提高至50%,可使结构承载能力增加56%。     

飞机机身加筋壳失稳状态的曲栅云纹实验研究

 本文用曲栅云纹法测定了两种类型,八组不同加筋方式和蒙皮厚度,共28个飞机机身加筋柱壳结构模型,分别在轴压或均匀内压力作用下的初始屈曲临界载荷、总体失稳载荷和屈曲失稳过程的波形分布等有关参数。     

复合材料圆柱壳非线性稳定性分析中的几个基本问题

本文讨论复合材料圆柱壳在非线性失稳下的几个基本问题,即失稳时几何非线性影响、初始缺陷影响、材料物理非线性影响、横向剪切变形影响以及前屈曲变形和各种边界条件的影响等。这些因素的交互作用对失稳性能是重要而且复杂的。本文是对于这些问题的一系列研究结果的一篇综合性分析报告。     

压电材料壳的广义变分原理和状态向量方程

将三维弹性材料的H-R变分原理引入到具有机-电耦合效应的三维压电弹性材料圆柱壳问题中,建立了对应于正交各向异性压电材料圆柱壳的Hamilton型广义变分原理。通过变分运算得到了柱坐标系下的状态向量方程,该状态向量方程也是Hamilton正则方程。最后指出纯正交各向异性弹性材料壳Hamilton型广义变分原理是变分公式的特例。变分原理的建立将有利于压电材料圆柱壳静力学和动力学问题的有限元方法或半解析法的推导。     

To estimation of moving distributed load effect on the dynamic behavior of circular multilayer cylindrical shells

We substantiate the necessity of taking into account the dynamic effect appearing in the anisotropic cylindrical shell under the action of the constant internal excess pressure, the leading edge of which is propagated along its generatrix with constant acceleration; the pressure is capable to create in the shells the stresses exceeding by many times the static components, which that may lead to the structure failure.     

复合材料加筋圆柱壳稳定性的非线性有限元分析

 本文应用全拉格朗日列式法,对具有纵、横向加筋的叠层圆柱壳进行了非线性有限元稳定性理论公式的推导及求解过程的探讨。文中应用Sander's壳体理论的几何非线性及横向剪切,推导了矩形壳元及与该壳元变形相协调的直梁元与曲梁元的刚度矩阵,编制了FORTRAN计算程序。计算了柱、曲拱、曲壳拱,碳纤维加筋圆柱壳均匀轴压下的前后屈曲。也可用于计算加筋筒壳的弯曲、压-弯及外压等情况。     

复合材料叠层板壳材料非线性有限元分析

 本文采用通用于复合材料叠层厚、薄板壳的Heferosis三维退化曲壳元,利用Hill屈服准则和层状模型法,研制了针对金属基复合材料叠层板壳进行弹塑性分析的超参元程序。算例结果表明,叠层板壳分析方法和所编程序是可靠的,精度良好。     

Nonlinear bending analysis of a 3D braided composite cylindrical panel subjected to transverse loads in thermal environments

The aim of this study is to investigate nonlinear bending for a 3-Dimensional(3D)braided composite cylindrical panel which has transverse loads on its finite length. By refining a micro-macro-mechanical model, the 3D braided composite can be treated as a representative average cell system. The geometric structural properties of its components deeply depend on their positions in the section of the cylindrical panel. The embedded elastic medium of the panel can be described by a Pasternak elastic foundation. Via using the shell theory of the von Ka′rma′nDonnell type of kinematic nonlinearity, governing equations can be established to get higherorder shear deformation. The mixed Galerkin-perturbation method is applied to get the nonlinear bending behavior of the 3D braided cylindrical panel with a simply supported boundary condition.Based on the analysis of the braided composite cylindrical panel with variable initial stress, geometric parameter, fiber volume fraction, and elastic foundation, serial numerical illustrations are archived to represent the appropriate nonlinear bending responses.