考虑剪切和翘曲影响的直升机旋翼气弹稳定性分析

在中等变形梁理论的基础上,对桨叶变形体进行有限变形分析,推导出同时考虑剪切和翘曲影响的小应变、中等变形梁应变-位移关系,并构造出一个全新的21自由度梁单元,应用Hamilton原理导出桨叶运动的有限元方程。在此基础上,研究了剪切和翘曲等非经典因素对无铰旋翼桨叶的动特性和悬停时气弹稳定性的影响。数值结果表明:剪切和翘曲对旋转桨叶的固有频率,尤其是高阶频率,有一定的影响,特别是随着转速的提高这种影响会变大;同时对悬停时桨叶的气弹稳定性有相当程度的影响,尤其是在高桨距角下这种影响是不能忽略的。     

剪切流场中分散相液滴行为研究

目前乳化液破乳机理研究领域对剪切流场作用下分散相液滴行为的研究仍存在一些需要解答的问题。通过设计内外筒反向旋转剪切实验装置,结合数字图像处理技术,从实验角度进行了系统研究。实验数据显示液滴在剪切流场中发生三维力学变形,通过提出液滴形变非仿射度和综合变形度的概念,对液滴变形规律及其机理进行了相应的实验及理论探讨。同时,通过新颖可靠的测量方法,探索了液滴变形过程中内外流场压差的变化规律,数据显示液滴内外压差变化显著,且影响液滴形态。此外,还对剪切流场中液滴的变形过程进行了数值模拟,结果与实验及理论符合较好。提出了一套系统的液滴模型描述方法,为今后精确液滴变形形态数学模型的建立打下基础。     

复合材料层合板弯曲振动高阶理论及有限元模型

本文提出了一种新的复合材料层合板高阶弯曲位移模式,此位移模式既考虑横向剪切的影响,又考虑了法向正应力的分布,进而建立的相当于三维弹性理论解的二维有限元模型,具有精度高、计算量并不大的优点。     

BT16钛合金渗氢压缩试样中的剪切带

为了深入了解渗氢及变形速率对BT16钛合金冷镦性能的影响,采用光学显微镜(OM)和显微硬度的方法,研究了BT16钛合金渗氢压缩试样中的剪切带。结果表明：在300 mm/s的压缩速率下,中心区变形流线与剪切带保持平行;在75 mm/s的压缩速率下,剪切带中心区与剪切变形过渡区边界模糊,变形流线与剪切带呈一定的小角度。在300 mm/s的压缩速率下形成的剪切带中心区显微硬度值近似为常数,且低于基体硬度值,剪切带中心区与基体之间存在一个硬度值线性增加的过渡区。对剪切带形成过程进行了分析,提出了利用变形流线计算剪切带最大应变的方法。     

编织复合材料预制体铺覆成型的数值模拟

针对平面编织复合材料预制体在曲面铺覆过程中的局部变形,建立了三维有限元模型,利用商业有限元软件Abaqus模拟了预制体在铺覆成型过程中的纤维束变形规律。研究了0°和45°碳纤维织物在球面铺覆过程的变形过程和局部剪切变形。结果表明,纤维束之间的滑动和纤维束起皱是该预制体在球面铺覆过程中的典型变形模式。在0°织物的球形铺覆变形中,0°和90°纤维束的剪切变形角最小,45°方向纤维束的剪切变形角最大;在45°织物的铺覆变形中,0°和90°纤维束的剪切变形角最大,45°方向纤维束的剪切变形角最小。     

硬夹心夹层板反对称变形

考虑面板和夹心的横向剪切刚度与弯曲刚度,基于小变形和变形协调性的假设,引入5个广义位移以描述夹层板的变形,采用广义变分原理,推导了各向同性材料夹层板的2个面内变形和1个横向变形的基本方程。以四边简支、受横向均布载荷作用的矩形夹层板为例,对比计算了夹心弹性模量和面板厚度的变化对计算结果的影响,并与基于Reissner理论和H.J.Hoff理论的夹层板模型的计算结果进行对比,结果表明,考虑面板和夹心的横向剪切刚度和抗弯刚度可以有效地提高夹层板弯曲变形的计算精度。     

复合材料胶接搭接接头应力分析方法研究

胶接是复合材料结构主要连接方法之一,对胶接接头进行应力分析是保证复合材料安全性、耐久性的关键。在初步设计阶段,一般采用解析方法对胶接接头进行应力分析及参数研究。针对复合材料双搭接和单搭接胶接接头,在Tsai等人的理论分析方法（TOM方法）基础上,提出了一种改进的搭接接头剪应力分析方法,该方法考虑了被胶接件的剪切变形,认为被胶接件只有在靠近胶层的半个厚度上产生剪切变形,剪应力沿该半厚度呈线性分布。算例分析结果表明：本文方法比现有的分析方法更接近于有限元模拟结果,可用于估算复合材料胶接接头剪应力分布。     

BT16钛合金渗氢压缩试样中的剪切带

为了深入了解渗氢及变形速率对BT16钛合金冷镦性能的影响,采用光学显微镜(OM)和显微硬度的方法,研究了BT16钛合金渗氢压缩试样中的剪切带.结果表明:在300 mm/s的压缩速率下,中心区变形流线与剪切带保持平行;在75 mm/s的压缩速率下,剪切带中心区与剪切变形过渡区边界模糊,变形流线与剪切带呈一定的小角度.在300 mm/s的压缩速率下形成的剪切带中心区显微硬度值近似为常数,且低于基体硬度值,剪切带中心区与基体之间存在一个硬度值线性增加的过渡区.对剪切带形成过程进行了分析,提出了利用变形流线计算剪切带最大应变的方法.     

基于三角剪切变形理论的对称层合板振动分析

根据三角剪切变形层合梁理论,推导出对称复合材料层合板的运动微分方程,利用逆复合二次径向基函数无网格配点法对运动微分方程进行离散,预测了对称复合材料层合板的自由振动特性。将不同材料参数、几何尺寸的层合板固有频率计算结果与相关文献中的结果进行对比,结果表明：用逆复合二次径向基函数离散的三角剪切变形理论在对称复合材料层合板自由振动分析方面具有一定的精度。     

变形工艺对Ti-3Al-5Mo-5V动态压缩变形的影响

采用显微组织分析和工艺试验相结合的方法系统分析了变形工艺对Ti-3A l-5Mo-5V钛合金动态压缩变形行为的影响规律。结果表明,变形速率和变形量影响着合金动态变形局部化的程度(剪切带的宽度)和变形过程中出现的剪切带的类型,动态变形后剪切带区域的硬度与其他位置的硬度差异较大,这种差异可以通过变形后适当的后续退火处理来消除。     

A refined trigonometric shear deformation theory for thermoelastic bending of functionally graded sandwich plates

A refined trigonometric shear deformation theory (RTSDT) taking into account transverse shear deformation effects is presented for the thermoelastic bending analysis of functionally graded sandwich plates. Unlike any other theory, the number of unknown functions involved is only four, as against five in case of other shear deformation theories. The theory presented is variationally consistent, does not require shear correction factor, the displacement components are expressed by trigonometric series representation through the plate thickness to develop a two-dimensional theory and gives rise to transverse shear stress variation such that the transverse shear stresses vary parabolically across the thickness satisfying shear stress free surface conditions. The sandwich with homogeneous facesheet and FGM core is considered. Material properties of the present FGM core are assumed to vary according to a power law distribution in terms of the volume fractions of the constituents. The influences played by the transverse shear deformation, thermal load, plate aspect ratio, and volume fraction distribution are studied. Numerical results for deflections and stresses of functionally graded metal–ceramic plates are investigated. It can be concluded that the proposed theory is accurate and simple in solving the thermoelastic bending behavior of functionally graded plates.     

Static Analysis of Functionally Graded Sandwich Plates Using an Efficient and Simple Refined Theory

In this paper, a new displacement based high-order shear deformation theory is introduced for the static response of function-ally graded sandwich plate. Unlike any other theory, the number of unknown functions involved is only four, as against five in case of other shear deformation theories. The theory presented is variationally consistent, has strong similarity with classical plate theory in many aspects, does not require shear correction factor, and gives rise to transverse shear stress variation such that the transverse shear stresses vary parabolically across the thickness satisfying shear stress free surface conditions. Two common types of functionally graded sandwich plates, namely, the sandwich with functionally graded facesheet and homogeneous core and the sandwich with homogeneous facesheet and functionally graded core, are considered. Governing equations are derived from the principle of virtual displacements. The closed-form solution of a simply supported rectangular plate subjected to sinu-soidal loading has been obtained by using the Navier method. The validity of the present theory is investigated by comparing some of the present results with those of the classical, the first-order and the other higher-order theories. It can be concluded that the proposed theory is accurate and simple in solving the static bending behavior of functionally graded sandwich plates.     

一种精化的层合梁脱层模型

建立了一种精化的复合材料层合梁脱层模型。脱层梁被分为3个区,各区位移场为厚度坐标的三次函数,能满足层间位移和剪应力的连续条件、脱层界面的脱层条件和脱层边界点的位移连续条件。构造了其有限元模型。算例表明该模型较之基于经典理论和一阶剪切变形理论的脱层模型精度显著提高。     

反对称正交铺层层板的热稳定

1.导言 复合材料结构在外载作用下力学响应由于温度的变化,层板的稳定问题的研究才刚开始涉及。热失稳问题在层板结构的应用中可能会产生,比如当宇航器在外层空间飞行时,由于受到太阳的幅射,温度改变而使层板失稳。国外有不少学者已开始这方面的研究,然而大都还限于经典理论范畴。本文提供的层板临界失稳温度控制方程是在Kirchhoff假设基础上考虑横向剪切变形影响后得来的,对于反对称正交铺设层板,可以找到解析解,并将结果与对称正交层板、经典理论结果作了比较,本文的结论对层板热稳定设计有一定     

计及横向剪切效应的环形谐振子理论研究CSCD

经典环形谐振子理论是一种基于忽略横向剪切变形假设建立的环理论,因而无法准确求解高径比较大的环问题。为了克服上述不足,基于Timoshenko理论和哈密顿原理,建立考虑横向剪切效应的环形谐振子新理论,包括广义本构关系、平衡方程和周期性条件等。利用经典的布勃诺夫-伽辽金法,并结合有限元法,获得谐振子在缓慢、匀速转动过程中二阶弯曲角频率和进动系数的理论解。研究表明,横向剪切变形会在一定程度上影响环形结构二阶弯曲角频率和进动系数的计算结果;环形谐振子的进动系数不是恒定的,它会随着高径比h/r的增大而缓慢地减小。     

弹性耦合对复合材料旋翼前飞气弹响应及载荷的影响

 给出一套计算复合材料旋翼前飞气弹响应和桨榖载荷的方法，所用结构模型考虑横向剪切变形、剖面面外翘曲变形和复合材料弹性耦合的影响。气动模型采用准定常升力线理论和Drees线性入流模型，翼型升力、阻力系数来自风洞试验。构造出21自由度梁单元，应用Hamilton 原理推导出桨叶运动的有限元方程。在此基础上，研究弯曲-扭转和拉伸-扭转耦合对复合材料旋翼前飞气弹响应和桨榖振动载荷的影响。结果表明：弹性耦合对扭转方向的影响很大，对挥舞和摆振两个方向的影响很小；各种弹性耦合对桨榖振动载荷有着不同程度的影响，负的摆振弯曲 扭转耦合和正的拉伸 扭转耦合使桨榖垂直方向的振动载荷降低5%左右。     

SNAP－THROUGH OF LAMINATED ORTHOTROPIC SHALLOW SPHERICAL IMPERFECT SHELLS WITH TRANSVERSE SHEAR

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Geometrically exact nonlinear analysis of pre-twisted composite rotor blades

Modeling of pre-twisted composite rotor blades is very complicated not only because of the geometric non-linearity, but also because of the cross-sectional warping and the transverse shear deformation caused by the anisotropic material properties. In this paper, the geometrically exact nonlinear modeling of a generalized Timoshenko beam with arbitrary cross-sectional shape, generally anisotropic material behavior and large deflections has been presented based on Hodges’ method. The concept of decomposition of rotation tensor was used to express the strain in the beam. The variational asymptotic method was used to determine the arbitrary warping of the beam cross section. The generalized Timoshenko strain energy was derived from the equilibrium equations and the second-order asymptotically correct strain energy. The geometrically exact nonlinear equations of motion were established by Hamilton’s principle. The established modeling was used for the static and dynamic analysis of pre-twisted composite rotor blades, and the analytical results were validated based on experimental data. The influences of the transverse shear deformation on the pre-twisted composite rotor blade were investigated. The results indicate that the influences of the transverse shear deformation on the static deformation and the natural frequencies of the pre-twisted composite rotor blade are related to the length to chord ratio of the blade.     

LC4铝合金厚板的塑性变形各向异性

 LC4铝合金厚板的塑性变形具有明显的各向异性。本文提出一种表示各向异性的方法及其随纵向应变和热处理状态的变化,并观察了断口形态。