Nonlinear deformation and stability of discretely reinforced elliptical cylindrical shells under transverse bending and internal pressure

A finite element formulation of solving the stability problems for the discretely reinforced noncircular cylindrical shells is presented taking into account that their subcritical stress strain state is instantaneous and nonlinear. The author-developed finite elements for a natural-curved shell and the beam elements of reinforcements are used. A numerical algorithm to study the nonlinear deformation and stability of shells was developed. The stability of a stringer-stiffened cylindrical shell with an elliptical cross-sectional contour under transverse bending and internal pressure is examined. We also investigate the effect of internal pressure, ellipticity and nonlinearity of deformation, as well as of reinforcement discreteness and heterogeneity.     

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.     

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.     

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。     

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。     

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。     

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。     

A technique for calculating large deflections of nonshallow elastoplastic shells of revolution under nonaxisymmetric loading

A technique for calculating the geometrically and physically nonlinear stress strain state of nonshallow shells of revolution under the nonaxisymmetric wind-like loading is proposed. The calculation results for a semispherical shell with the central hole and rigidly fixed edges depending on the loading nonaxisymmetry, material characteristics and thickness are presented. We demonstrate not only quantitative but also qualitative influence of taking into account the factor of joint nonlinearity on the process of shell deformation.     

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。     

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.     

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。     

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。     

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。     

Nonlinear thermomechanical deformation behaviour of P-FGM shallow spherical shell panel

In the present article, the linear and the nonlinear deformation behaviour of functionally graded (FG) spherical shell panel are examined under thermomechanical load. The temperature-dependent effective material properties of FG shell panel are evaluated using Voigt’s micro-mechanical rule in conjunction with power-law distribution. The nonlinear mathematical model of the FG shell panel is developed based on higher-order shear deformation theory and Green-Lagrange type geometrical nonlinearity. The desired nonlinear governing equation of the FG shell panel is computed using the variational principle. The model is discretised through suitable nonlinear finite element steps and solved using direct iterative method. The convergence and the val-idation behaviour of the present numerical model are performed to show the efficacy of the model. The effect of different parameters on the nonlinear deformation behaviour of FG spherical shell panel is highlighted by solving numerous examples.     

圆柱筒轴向载荷下单元尺寸效应数值模拟

利用显式非线性有限元方法对薄壁圆柱筒轴向载荷下的动力学响应进行了研究,模拟了圆柱筒在轴向冲击作用下的动力屈曲变形及其发展过程。分析比较了不同单元尺度下冲击模型的数值计算解与理论解,揭示了在进行有限元模拟时存在的网格尺寸效应,为研究有限元网格尺寸与有限元求解精度的内在联系提供参考;为在保证数值解满足工程实际精度要求的前提下,确定合理的单元尺度,提高有限元分析效率进行了有益的探索。     

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%。     

航空发动机机匣电子束焊接变形模拟分析与优化

为了对焊接变形进行预测与控制,建立了焊接接头的弹塑性有限元模型,并对电子束热源模型进行了校核,获得了接头焊接位置的塑性应变区域大小;建立了风扇叶片机匣3D壳单元有限元模型,并采用固有应变法对机匣焊接变形进行了模拟计算,获取了焊接过程的变形分布,通过实测机匣变形量并与仿真结果进行对标,验证了模型的准确性;通过对风扇叶片机匣焊接顺序以及焊接熔池宽度等工艺参数的优化,获得了控制风扇叶片机匣焊后变形的最优方案。结果表明:模拟与实测的平均变形误差仅10.3%,基于固有应变法的中心面3D壳单元有限元模型适用于大型复杂薄壁件的电子束焊接变形预测,该方法已得到应用;风扇叶片机匣焊接熔池宽度的优化能够有效控制焊后变形,焊缝上熔池宽度降低为2.7 mm,焊后平均径向变形量降低30%,能够明显降低机匣径向收缩变形,焊接顺序的优化对变形控制效果较差。      

Analysis of geometrically nonlinear shells of revolution based on the finite element method with the vector interpolation of desired quantities

In this paper, we present an algorithm for geometrically nonlinear finite element analysis of the shells of revolution. Use is made of the most proper algorithms for vector interpolation of displacements through the nodal unknowns and an efficient algorithm for obtaining the stress-strain increment relation at a step of loading. By comparing the results of analyzing a geometrically nonlinear shell of revolution obtained on the basis of the ANSYS software with the scalar interpolation of displacements with those obtained on the basis of an author-developed finite element, it has been shown that application of the FEM vector displacement interpolation leads to increasing the accuracy of the finite element solutions in analyzing the stress-strain state of the geometrically nonlinear shells.     

壳体动响应阻尼系数的ALE数值反演研究

圆柱壳体作为航空航天工程中的主要结构构形,对其在空气中运动的阻尼特性进行研究具有重要意义。首先运用有限元软件LS-DYNA的任意拉格朗日欧拉算法（ArbitraryLagrangian-Eulerian,简称ALE）模块对不同几何尺寸的圆柱壳体在空气中的运动历程进行动响应计算分析,并通过不同尺度大小空气域对数值计算的准确性进行验证;然后采用粘性阻尼模型模拟空气作用,用Isight优化软件进行最佳逼近,反演出与空气对圆柱壳体作用等效的质量阻尼系数和刚度阻尼系数,并应用于加筋模型和缩小尺寸模型进行验算。结果表明：用反演系数计算的结果和ALE结果吻合良好,质量和刚度的改变对阻尼系数没有明显影响。