层叠纤维增强板的振动问题

 本文用任意正交铺层的简支矩形板自由振动问题的精确解,通过计算研究了经典层板和考虑剪切的层板振动理论的适用范围;还研究了在经典层板横向振动理论中板平面内两个方向惯性力的影响问题,结论是可以忽略这种影响。     

受弯曲对称复合材料层板的层间应力分析

本文引伸了受均匀拉伸复合材料层板自由边界效应问题的准三维有限元理论,分析了受弯曲（±45）_s角交层板与正交对称层板中的应力响应。着重讨论了层板自由边附近及层间界面上的应力分布。与受均匀应变拉伸下的应力分布相比,受弯曲对称复合材料层板中的层间应力分布有许多不同的特点。本文的分析结果将有助于理解在复合载荷下复合材料层板的破坏模式与破坏过程。     

各向异性板的屈曲载荷解

对称各向异性板屈曲载荷值问题早已解决,但计算方法复杂且计算费用昂贵。Noor和Whitworth讨论了承受压应力对称层板的稳定,将正交因素同非正交因素分开处理,由此而略微降低计算费用。Nineth给出一个各向异性参数,借助这个参数可以粗略估计各向异性因素对稳定值的影响,然后决定是否略掉各向异性因素D_(16)和D_(26)。Leissa收集     

加筋复合材料壁板失稳后持续承载能力研究

文中通过拟协调层板单元的复合材料壁板非线性理论分析,并通过帽形长桁专项分析模型对加筋复合材料壁板稳定性/失稳后,持续承载分析失效模式与损伤演化,进行理论研究和仿真模拟。结合盒段级试验结果,全方位验证理论计算结果,并摸清结构破坏模式,为最大限度发挥材料结构承载能力,提高结构效率,提升质量控制能力、完善轻质高效结构稳定性/失稳后持续承载设计体系,提供必要的数据支持和技术参考。     

典型层板冷却结构热疲劳破坏特性研究

针对三种不同形式的典型层板冷却结构,设计加工了高温合金材料试验件.模拟涡轮冷却叶片在实际发动机中的高温工作环境,通过冷热循环加载方式试验研究每种层板冷却结构的热疲劳寿命,分析其破坏部位及破坏原因,并与数值计算结果进行了对比.结果表明:层板冷却结构热疲劳裂纹出现在排气板气膜孔附近,并沿气膜孔纵向扩展,内表面扩展程度大于外表面.在三种层板冷却结构中,211型层板冷却结构热疲劳寿命最低,161型和141型层板冷却结构热疲劳寿命相当.     

推力室喉部层板发汗冷却段的结构设计分析

根据层板单元的热分析结果和层板发汗冷却推力室固有的结构特点,提出这种先进发动机冷却方案的设计原理和结构参数的计算公式,结合一台50kN发动机推力室喉部改再生冷却为发汗冷却的改形设计,分析其层板发汗冷却段喉部的设计方法和主要结构尺寸的计算结果。还比较了全再生冷却和发汗冷却两种冷却方式下发动机推力室的温度、热流密度和重量。对先进层板发汗冷却推力室的结构设计提供了参考。     

薄壁结构在热声载荷下的疲劳寿命分析与试验验证

数值研究了热声载荷作用下薄壁结构的动态响应,并开展了薄壁结构的热声激振试验,获取了薄壁结构的热模态频率与不同热声载荷下的动态响应结果。采用热声疲劳寿命预估模型,仿真分析了薄壁结构疲劳寿命随声压级和温度的变化规律。试验与仿真结果对比表明,试验与仿真的模态频率具有一致性,应变响应量级相同。屈曲系数由0增加到1.8,GH188金属薄壁结构疲劳寿命呈先降低后增大趋势。验证了热声试验方法的合理性与可靠性,以及薄壁结构热声响应仿真方法与模型的有效性。薄壁结构在屈曲前/后过程中表现出稳定-失稳-再稳定的过程。     

多孔多层板发散冷却特性(一)直通道

多孔多层板发散冷却技术是解决现代高性能燃气轮机冷却问题的有效途径。针对Lamilloy类型的 3层多孔层板结构 ,以层板单元为对象 ,进行了直通道内多孔多层板流动换热特性的数值模拟研究。结果表明 ,层板单元内流动换热关于对角面对称 ,各层板间隙内流动结构基本相同。流体在层板间隙内经历了小孔高速射流冲击板面及绕过支撑凸台向下一层板小孔汇流的过程。层板内换热非常强烈 ,换热最强的部位在冲击射流滞止区。     

层板结构内部流场数值模拟研究

 在已经研究的层板换热特性的基础上,通过对层板结构内部流场的数值模拟研究,有助于理解层板内部复杂流动的情况,从而揭示层板内部换热强弱的机理。根据B、C两种类型结构的层板研究表明:在扰流柱柱面附近区域速度最大,这有利于热交换;扰流柱柱高的改变对流场影响较大,而且对换热也带来明显的影响。将数值模拟结果与实验进行对比发现,数值模拟换热系数的分布规律基本与实验相一致,误差也在可接受的范围内。     

利用红外技术进行层板冷却特性实验研究

为了研究层板冷却特性,应用远红外热像测温技术,对一个真实尺寸的层板结构进行了实验.层板的气膜孔、绕流柱及冲击孔直径分别为0.,0.8,0.8 mm,内腔高及总板厚分别为0.8,2.6 mm,孔柱数比为1:4:1.为了准确测量表面温度,采用了高精度热电偶校正法,建立修正关系;为了描述层板综合冷却效率,采用热像数字信号运算法,直接进行数据处理.实验在高温亚声速风洞中进行,实验结果展示了冷却介质注射量对层板冷却特性的影响,证明远红外热像技术用来研究层板冷却特性是一种有效的方法.      

基于有限元方法的复合材料层合板自由振动分析

利用有限元分析方法分别研究了正交各向异性、对称角和反对称角铺设的正方形复合材料层合板的线性和非线性自由振动问题.结合一阶剪切变形理论推导出层合板自由振动的有限元方程,构造了三维有限元模型,并对其基频进行计算.数值结果与其他的文献的结果对照表明,用有限元方法求得的基频与用各阶剪切变形理论求得的结果非常接近,但对于厚板结果与经典Kirchhoff的结果有一些差距,对于其他理记是一致的.     

Parametric instability of twisted cross-ply laminated panels

The present paper deals with the study of the vibration, buckling and parametric instability characteristics of general laminated cross-ply pre-twisted cantilever flat and curved panels. The effects of angles of pre-twist, aspect ratio, static load factor, and the lamination parameters of the cross-ply twisted curved panels on the principal instability regions are studied using Bolotin?s approach. An eight-noded isoparametric quadratic shell element with five degrees of freedom per node is used to develop the finite element procedure. The first order shear deformation theory is used to model the twisted cross-ply curved panels considering the effects of transverse shear deformation and rotary inertia. The linear part of the strain is used to derive the elastic stiffness matrix and the non-linear part of the strain is used to derive the geometric stiffness matrix. The global matrices are obtained by assembling the corresponding element matrices using skyline technique. Subspace iteration method is used throughout to solve the eigenvalue problem. Reduced integration technique is adopted in order to avoid possible shear locking. Based on the parametric studies, it is found that the instability behavior of twisted cross-ply cantilever panels is greatly influenced by the geometry, material, angle of twist and lamination parameters. So, this can be used to advantage in tailoring during design of crossply twisted cantilever panels.     

Analytical solution methods for eigenbuckling of symmetric cross-ply composite laminates

Based on the first-order shear deformation theory, this paper explores the analytical methods for eigenbuckling of symmetric cross-ply rectangular composite laminates with a pair of parallel edges simply supported and the remaining two edges arbitrarily constrained. The main con-tribution of present paper lies in two aspects: one is to present a simple and effective analytical method, namely, the separation-of-variables method, which can generate the closed-form buckling solutions without any computational difficulty;the other is to incorporate the accurate computation method of exponential matrix into the state space technique to avoid the inevitable numerically ill-conditioned problems reported in several literatures. The results obtained via both analytical meth-ods are identical, and a good agreement with their counterparts in literature is observed. The separation-of-variables method can generate exact solutions within 1 s, which is impossible if the state space method is employed. Besides, the combination of the accurate computation method of exponential matrix and the state space method greatly improves the computational efficiency and gives correct results compared with the straightforward use of state space method.     

复合材料层合板屈曲载荷计算的区间分析算法

提出了求解具有不确定性复合材料层合板屈曲载荷的一种处理方法———区间分析法。区间分析法是基于区间数学和泰勒展开的一种处理不确定性的方法。区间分析法不需要知道不确定变量的概率统计特性,只要较少的材料物理特性信息,即不确定变量的上界和下界,加上较简单的计算就可以得出结构响应的变化区间。在样本比较小,概率统计特性不明显,从而通常的概率统计方法不能有效应用时,区间分析仍然有效。文中针对四边简支的特殊正交层合板以及反对称角铺设层合板的屈曲载荷,用概率算法和区间算法分别进行了计算与比较。     

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。     

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.     

复合材料板拉/压-剪复合载荷屈曲相关方程

利用轴向拉伸/压缩和面内剪切载荷构建了一个相互作用函数,并将其通过幂级数展开成二次多项式,利用单轴试验测试的复合材料板屈曲载荷,基于数学原理和合理的假设,推导确定了多项式的各项待定系数,构建了轴向拉伸/压缩和剪切复合载荷下的复合材料板屈曲相关方程,从数学上理性地解决了传统屈曲相关方程不适用于复合材料板（尤其是非均衡铺层板）的问题。利用提出的相关方程预测了4种不同的非均衡铺层复合材料板在轴向拉伸/压缩和剪切载荷作用下的屈曲相关曲线,并与有限元特征值法的模拟结果进行了对比,两者具有很好的一致性,而对于传统相关方程,其铺层的非均衡性越大则预测误差越大。最后通过均衡铺层的复合材料加筋壁板的压剪复合试验进一步证明了提出的相关方程的有效性。     

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.     

复合材料层合板的二次失稳和破坏研究

 本文采用考虑横向剪切效应的三角形拟协调罚函数单元,推导了带有初始挠度的复合材料层合板在后屈曲阶段的增量平衡方程和相应的切线刚度矩阵,以及非线性特征方程,并以数值计算研究了单元的精度和收敛性,二次分支点的存在性和边界条件、加载方式及铺层次序对二次失稳和破坏载荷的影响。