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.     

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。     

壁板铆接变形分析及铆接顺序规划研究

壁板是构成飞机气动外形的重要组件,提高其外形装配精度对保证飞机的飞行性能至关重要。传统的研究主要集中在铆钉及孔周围的变形,而对壁板铆接整体变形的研究较少涉及。以壁板自动钻铆为对象,以单钉铆接变形分析为元模型,提出了壁板铆接"局部-整体"变形快速求解方法。钉孔周围采用体单元,壁板其余部分采用壳单元,利用"体-壳"连接建模方法,构建了"局部-整体"映射加载模型,将钉孔周围复杂的应力应变状态传递到壁板整体薄壳模型上,实现了壁板铆接变形的快速计算;以铆接变形最大值最小为目标,采用遗传算法进行铆接顺序优化,实现了对壁板铆接变形的有效控制。     

梁壳组合结构的一种非线性有限元计算方法

提出了梁壳垂直组合结构在有限元计算中存在的问题,并以几何大变形问题为依托提供了解决该问题的计算原理和有限元方法。数值算例证明了该理论和方法的正确性。该法不仅适用于梁壳组合结构的大变形非线性计算,也适用于静动力小变形问题的线弹性分析计算。     

FGM板三维层合模型及热-噪声载荷下的动态响应研究

 为了有效地分析热-噪声联合载荷作用下的飞行器功能梯度壁板结构的非线性动态响应,提出了运用复合材料多层壳单元建立功能梯度材料(FGM)板的层合有限元建模新方法,研究了FGM板在热曲屈前、后状态下复杂的非线性时域动态响应特性,并探讨了梯度指数、热曲屈系数及声压级(SPL)等参数对FGM板非线性动态跳变响应的影响规律。FGM板三维层合建模新方法避免了采用常规有限元法(FEM)建模时需要在厚度方向划分大量单元的缺点;求解FGM板非线性动态响应时采用的隐式积分方案避免了模态叠加法对参与模态选择的经验性要求及模态截断造成的信息丢失等缺陷。仿真结果表明:FGM板层合有限元建模新方法合理可行、过程简便、计算精度高;研究发现:陶瓷-金属FGM板在热屈曲后的抗声振性能并不像热屈曲前那样介于金属板和陶瓷板之间,而是表现最差;热屈曲系数及声压级的组合形式是导致FGM板发生非线性跳变响应的主要影响因素。     

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.     

含内热源球壳的复合传热特性及其表面温度均匀性研究

应用计算流体动力学方法,对带内热源的空腔球壳所涉及的含导热、自然对流和辐射换热的耦合传热问题进行了数值建模,得到了球壳空腔内、外侧流体的温度场、速度场。在数值模拟基础上,提出并试验验证了能有效提高球壳外表面温度均匀性的电加热绳方案。     

基于ABAQUS的加筋球壳参数化建模及屈曲分析

加筋球壳结构由于良好的承载能力和可设计性,其加筋设计及屈曲分析一直是经典且具有挑战性的问题。本文给出基于ABAQUS 的加筋球壳的参数化有限元建模方法,建立加筋球壳的参数化有限元模型;通过与文献数据进行比较对模型的准确性进行验证;以临界屈曲压力和临界屈曲压力与重量的比值为主要指标,研究球壳厚度,加强筋布局,加强筋截面尺...     

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.     

超音速气流中受热壁板的非线性颤振特性

随着高速飞行器技术的快速发展,壁板热颤振成为国内外研究人员的关注热点.壁板热颤振对飞行器性能有重大影响,甚至影响飞行安全.以超音速气流下的无限展长二维壁板结构作为研究对象,计入热效应的影响,根据Kirchhoff平板理论和Von Karman大变形几何非线性壁板理论建立系统的运动微分方程.并以壁板在x =0.25处为算例绘制了其前三阶弯曲构型的静态分岔图,对不同轴向载荷条件下壁板的屈曲构型进行了分析.考虑到温差△T是影响热应力的重要因素,对比了不同温差条件下,壁板的静气动弹性变形图,结果表明,温差越大,壁板偏离静平衡位置的位移越大.     

复合材料加筋壁板长桁蒙皮剥离失效分析

为了研究复合材料加筋壁板在纯弯载荷作用下蒙皮与长桁间的脱胶过程,基于ABAQUS有限元软件中的连续壳单元和Cohesive单元建立了有限元模型。在该模型中,采用Hashin准则预测面内损伤,而对于蒙皮与长桁缘条之间脱胶损伤的起始与扩展,则采用Cohesive单元进行模拟。采用该模型对复合材料加筋壁板蒙皮与长桁在纯弯载荷作用下的破坏过程进行仿真,仿真结果与试验结果相比较表明,本文建立的有限元分析模型能较好地模拟加筋壁板在纯弯载荷作用下蒙皮与长桁间的脱胶过程,并且能较好地预测该结构的剥离强度。     

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.     

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.     

窄条喷丸成形的数值模拟

 在分析窄条喷丸成形的变形特点基础上,提出了通过等效变形实现数值模拟的方法。由喷丸成形基本工艺参数试验,建立了壁板等效变形力与喷丸成形基本工艺参数之间的定量关系。利用上述定量关系,采用弹性薄壳有限元法模拟给定喷丸参数下的壁板外形。给出的算例验证了算法的正确性和有效性。     

带筋整体壁板预应力喷丸成形数值模拟及变形预测

带筋整体壁板特别是高筋整体壁板具有优异的结构效率、减重效益和密封效果，在航空航天等领域备受青睐。预应力喷丸成形是大中型、长寿命、高性能复杂带筋整体壁板的一种不可多得的有效成形手段。数值模拟是促进带筋整体壁板预应力喷丸成形技术研究、进步与应用的一种极具潜力的途径。针对带筋整体壁板预应力喷丸成形数值模拟，建立了基于响应面函数的多弹丸撞击有限元模型、基于应变中性层内移的反弯曲应力场法模拟模型、预应力喷丸成形RBF神经网络预测模型，实现了喷丸成形应力场法数值模拟、预应力喷丸成形较高精度数值模拟与变形预测，为带筋整体壁板预应力喷丸成形技术研究和实际应用提供了一种更为便捷、高效、经济的途径。     

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.     

复合材料整体化加筋壁板高速冲击损伤数值模拟

 以复合材料结构抗弹性能分析与设计为目的,根据纤维的线弹性假设和基体的粘弹性假设,推导了复合材料单向板的粘弹性本构关系,导出了高应变率下复合材料层板的一阶剪切理论,建立了复合材料整体化加筋壁板高速冲击有限元分析模型.该模型引入界面单元模拟复合材料层间分层以及筋条与壁板间的脱粘损伤,结合Hashin失效准则进行筋条和单层板面内损伤识别,引入材料刚度退化,采用非线性有限元方法,研究了复合材料加筋结构高速冲击的破坏过程及损伤特性.数值分析结果与实验结果吻合良好,证明了该方法的合理有效性.探讨了筋条参数对高速冲击损伤的影响规律,获得了一些有价值的结论.     

基于CR理论的大柔性机翼几何非线性结构建模

大柔性机翼在气动载荷的作用下,将产生显著的弹性变形,常规线弹性理论的小变形假设不再成立,需要采用能够考虑几何非线性效应的结构模型进行求解。基于CR(Co-Rotational)共旋转有限元理论,把几何非线性大变形分解为刚体的旋转和平移及局部坐标系下的弹性变形,建立了适用于大柔性机翼几何非线性变形描述的结构模型。以大柔性悬臂梁为例,采用载荷增量法,研究了集中弯矩作用下的非线性变形特征,对静力学方法进行了验证,并讨论了耦合加载几何非线性变形特征;以类"太阳神"太阳能布局无人机(UAV)为例,研究了其几何非线性大变形特性。     

一种半球谐振陀螺谐振子动力学建模方法

准确完备的半球谐振陀螺（HRG）谐振子动力学模型是陀螺误差分析的基础。为建立半球壳谐振子动力学模型,基于弹性力学薄壳理论,提出了一种谐振子动力学建模方法。首先,在薄壳的弹性力学几何方程基础上,推导了半球壳谐振子的变形几何方程。其次,在提高受力分析计算精度的基础上,推导了半球壳谐振子的物理方程。然后,分析了谐振子中面的受力平衡关系,推导了谐振子的平衡微分方程。最后,基于以上对整个谐振子的动力学分析,建立了谐振子动力学方程。根据谐振子的不同外载荷形式,利用布勃诺夫-伽辽金法求解得到谐振子2阶谐振状态动力学模型,并得到了谐振子比例系数和2阶谐振频率的表达式。通过对比验证可以看出,参数计算值与实测数据结果一致,证明了所建立的动力学模型的准确性。     

高速流场中变刚度复合材料层合板颤振分析

变刚度复合材料层合板在高速流场中的颤振行为是设计中需要考虑的问题。本文研究了高速流场中的曲线纤维变刚度层合复合材料壁板非线性颤振响应,分析了边界条件和纤维方向对颤振特性的影响。利用von-Karman大变形应变-位移关系,采用气动力活塞理论,根据虚功原理和有限元法建立变刚度复合材料壁板颤振的气动弹性力学模型,采用Newmark法对壁板的颤振方程求解。给出了不同边界条件和纤维方向条件下层合复合材料壁板的颤振特性。计算结果表明：随着纤维在板中心处或在边界±a/2处与x方向夹角（T₀或T₁）的增大,颤振临界动压减小;相同动压下,随着T₀或T₁的增大,极限环振幅增大。研究表明采用曲线纤维进一步提高了复合材料层合板的可设计性,通过调整曲线纤维路径可以改变复合材料壁板的颤振特性。