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.     

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.     

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.     

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 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 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.     

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。     

电场及双向压缩下含压电层的对称层合圆柱壳体的动力稳定性

 应用一阶剪切变形理论, 分析了简支边界有限长含压电层的对称层合圆柱壳及壳块在谐变电场及双向周期荷载作用下的动力稳定性问题, 并用模态展开的方法得出一阶动力不稳定区。选择几种模态为例说明材料的压电性、壳体几何参数和加载形式对不稳定区的影响。结果表明此类压电复合结构的动力不稳定区主要由结构自身刚度及外载所决定, 而受外加电场及压电效应影响很小。     

带气弹稳定性约束的复合材料浆叶减振优化设计

研究以降低直升机旋翼激振力为目标的复合材料桨叶结构动力学减振优化设计 ,分析了桨叶结构特性及桨尖后掠角等参数对N次 /转旋翼桨毂振动载荷的影响。在建立的桨叶二维结构特性有限元分析方程中 ,计入了桨叶剖面翘曲变形的影响 ,并利用哈密尔顿原理推导了旋翼桨叶的一维非线性运动微分方程。以桨毂交变载荷为目标函数 ,直接以复合材料桨叶典型剖面构造节点数据、铺层设计参数和桨尖后掠角等为设计变量 ,引入桨叶挥舞惯量、固有频率和气弹稳定性约束 ,进行旋翼的动力学优化设计 ,并结合 3片桨叶旋翼的设计进行了算例分析 ,优化结果使 3次/转的桨毂载荷降低了 2 4 .9%～ 33%。     

转动壳体外压屈曲的有限元分析

由于转动离心力的影响,壳体的屈曲临界压力随转速的提高而升高。本文推导了转动壳体线性屈曲的有限元公式,并用DMAP语言编制相应的程序修改MSC/NASTRAN的解题步骤考虑离心力完成了分析。还利用MSC/NASTRAN的几何非线性分析功能完成了有初始几何缺陷转动壳体的有限元分析,计算后屈曲的载荷—变形曲线,得出不同转速下的缺陷敏感度曲线。     

纤维缠绕球形贮箱刚度分析

对纤维缠绕球形贮箱在外压、内压和温差等作用下,进行应力、变形和稳定性等结构刚度分析。结果表明,与金属材料贮箱相比,纤维缠绕球形贮箱具有显著的刚度约束条件,如临界卸载内压和临界温差等。纤维缠绕球形贮箱在按强度要求进行结构设计和分析的基础上,还需校核刚度约束条件。为此,提出了纤维缠绕球形贮箱结构稳定性的各类临界载荷包括外压、卸载内压和温差等的计算公式及判据,为结构方案设计和研制的试验提供参考。     

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。     

民机中央翼加筋壁板承载能力的非线性有限元分析

应用非线性有限元分析技术,采用MSC.Patran为前后置处理器进行建模,以具有较强非线性功能的Marc软件为求解器,细致研究了某民机中央翼加筋板结构在受力状态下的非线性变形、后屈曲破坏过程、最终失稳破坏形式及载荷,与试验结果进行了比较,破坏过程及破坏形式与试验相吻合,计算的破坏载荷与试验的破坏载荷误差在5%以内,显示文中方法可以满足工程设计和分析要求。     

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。     

EWIS支架装配变形及其承载分析

民用飞机EWIS系统支架遍布全机,在空间狭小的区域,考虑到装配和维修的要求,需采用单侧安装工艺,若支架装配时未固定好或操作不当,会导致支架承受安装力矩载荷,使支架结构产生塑性变形和残余应力,严重的会导致支架破坏。为了分析EWIS支架在安装力矩下的应力和变形情况,采用ABAQUS对典型标准支架进行有限元分析,考虑材料的非线性特性,得到了支架在不同安装力矩下的变形和应力情况,并对塑性变形后的支架继续承载进行了分析,对比分析支架塑性变形前后承载的应力,得出了变形对承载的影响。采用非线性有限元分析方法可对支架安装力矩的作用进行模拟,并计算结构产生塑性变形后承载的应力水平,为民用飞机EWIS支架的装配过程和塑性变形后的承载分析提供参考。     

加筋壁板结构非线性屈曲数值分析研究

应用非线性有限元分析技术采用ANSYS10.0有限元计算软件细致研究了飞机加筋壁板结构在受压状态下的非线性变形及稳定性特性,考虑了不同边界条件、不同加载方式以及不同筋条厚度对特征值屈曲分析临界栽荷的影响.并比较了非线性分析下结构的临界屈曲载荷与线性屈曲分析下的临界屈曲载荷.同时提取板上不同位置上节点的位移/加载曲线,面外挠度/加载曲线,等效应力/加载曲线,对结构非线性特性进行了细致分析和讨论.并以面外挠度为纵坐标得出了长截面与短截面的屈曲波形图,细致表现了加筋板的非线性屈曲形态与规律.     

一种基于承载效率准则的复合材料机翼结构布局优化方法(英文)

提出一种针对大型复合材料机翼结构的二级布局优化策略。系统级根据结构形变调整设计指标,子系统级优化结构布局以满足系统级约束。将机翼壁板中各种临界失效载荷的接近程度作为评判结构效率的标准,通过将结构效率作为优化目标,保证了所求解问题的连续性。加筋壁板通过等效的正交异性板模拟,并根据能量原理预测总体失稳载荷。讨论了加强筋支持弹性对于蒙皮抵抗局部失稳性能的影响,并通过神经网络代理模型对其进行逼近。采用解析模型对失效特性做出评估,减少了计算资源的占用。最后以一种大型机翼结构的综合优化作为算例,计算结果满足设计要求,验证了该方法的可行性。     

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.     

复合材料加筋圆锥壳的大变形方程

 <正> 本文利用最小势能原理和平均筋条刚度法,建立了在任意载荷作用下以一环向密加筋复合材料圆锥壳的大变形方程。所建立的Donnell型方程可作为研究圆锥壳许多具体力学问题的理论基础。对一些特殊情况,给出了简化方程。 1.基本假设和关系式 在本文理论推导过程中作如下基本假设:     

Gust response analysis and wind tunnel test for a high-aspect ratio wing

A theoretical nonlinear aeroelastic response analysis for a flexible high-aspect ratio wing excited by harmonic gust load is presented along with a companion wind tunnel test. A multidisci-plinary coupled numerical calculation is developed to simulate the flexible model wing undergoing gust load in the time domain via discrete nonlinear finite element structural dynamic analysis and nonplanar unsteady vortex lattice aerodynamic computation. A dynamic perturbation analysis about a nonlinear static equilibrium is also used to determine the small perturbation flutter bound-ary. A novel noncontact 3-D camera measurement analysis system is firstly used in the wind tunnel test to obtain the spatial large deformation and responses. The responses of the flexible wing under different static equilibrium states and frequency gust loads are discussed. The fair to good quanti-tative agreements between the theoretical and experimental results demonstrate that the presented analysis method is an acceptable way to predict the geometrically nonlinear gust response for flex-ible wings.