Hamilton正则方程半解析法的收敛和对称分析

近年来,Hamilton正则方程半解析法在工程问题上的应用越来越广泛,但至今未见有关这种方法收敛性和对称性问题研究的文献。基于Hamilton正则方程的半解析法理论,通过变分原理详细推导了Hamiltonian元素的固支和简支边界公式及对称边界公式。多个实例的数值研究表明：随着网格加密,Hamilton正则方程半解析法的收敛速度快于一般传统位移有限元法,对称解法的效率明显优于整体解法。     

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。     

热弹性复合材料层合板的响应分析

利用混合变分原理,考虑了热平衡方程与导热方程中变量的对偶关系,通过增加非齐次正则方程的维数,成功地将热弹性体机一热耦合问题的非齐次Hamilton正则方程转化为能独立求解的齐次Hamilton正则方程．所以大大简化了问题的求解。并通过数值实例研究了在温度栽荷和动力栽荷作用下及考虑阻尼的四边简支复合材料层合板的响应问题。     

八节点Hamiltonian等参元列式

为了使平面八节点等参元的优越性在弹性力学Hamilton正则方程的半解析法得到应用。结合弹性材料修正后的Hellinger—Reissner（H—R）变分原理和二次插值函数表达平面外应力和位移函数,建立了Hamilton正则方程的八节点等参元列式。首先简要地介绍了弹性材料修正后的H—R变分原理．然后用二次插值函数表示平面外应力和位移变量,并详细地推导了Hamilton正则方程的八节点等参元列式。数值实例结果证明了本文等参元列式的正确性。     

蜂窝夹层结构中胶粘剂的模拟和研究

提出了一套定量研究蜂窝夹层板中胶粘剂作用的方法。从建立蜂窝芯、胶粘剂和面板的板单元有限元模型出发,用有限元软件计算了在线弹性范围内有胶粘剂和无胶粘剂蜂窝夹层板模型在受均布载荷情况下的变形,并作了对比分析,指出了胶粘剂对夹层板的加强作用,为定量研究胶粘剂在夹层结构中作用的模拟开辟道路。同时对胶粘剂的剥离性能进行了研究,总结了影响胶粘性能的因素。     

含弱粘结界面复合材料层合板的半解析法

采用线性弹簧模型表征界面弱粘结特性．并运用了Hamilton正则方程的半解析方法处理界面弱粘结对复合材料层合板弯曲问题的影响。首先简要地介绍了弹性材料修正后的H—R变分原理和Hamilton元,然后着重推导了弱粘结界面的线弹簧模型的平面元素列式及正则方程的半解析法的控制方程。最后根据界面传递关系建立了弱粘结层合板的控制方程。数值实例结果证明了本文方法的正确性。     

高精度反射面板制造中边值问题的求解方法(英文)

采用三层铝板两层蜂窝芯的夹层结构制造高精度反射面板是一种先进、复杂的技术。其中,单层铝板的受力分析和夹层板的回弹计算是成形精度的根本保障。利用Fourier级数表示单层板应力函数、利用幂级数表示夹层板挠度函数,分别对高精度反射面板制造中单层板压贴和夹层板回弹两类边值问题进行了求解。与有限元模拟结果对比表明,本文提出的单层板压贴膜应力计算Fourier级数法具有较高精度;与试验结果对比表明,本文提出的夹层板回弹量幂级数法具有满意精度。     

压电热弹性体开口壳的响应分析

根据广义的Hamilton变分原理推导出了压电热弹性体非齐次的Hamilton正则方程。结合压电热弹性体平衡方程和热平衡方程,成功地导出了压电热弹性体机、电、热耦合问题的齐次状态方程。将非齐次方程转化为齐次方程不仅使问题变得大为简化,同时也减少了数值计算的工作量。数值实例研究了温度载荷和力载荷作用下压电热弹性材料四边简支层合开口壳的响应问题。     

声处理蜂窝夹层结构在飞机座舱降噪设计中的应用

 本文简要介绍了在螺旋桨飞机座舱降噪设计中采用的蜂窝刚度处理技木。通过对蜂窝夹层结构板的声透射理论分析,阐明了利用这种降噪处理方法改善低频螺旋桨飞机座舱噪声环境的原理;给出了机身侧壁壁板试件经过蜂窝刚度处理前后的隔声量试验结果。通过处理前后两种状态下隔声量曲线的比较,表明蜂窝刚度处理对改善机身侧壁壁板低频隔声量的效果。     

天问一号探测器耐高温蜂窝夹层结构选材与性能研究

针对天问一号火星探测器耐高温大承载复合材料蜂窝夹层结构应用需求,基于材料匹配设计和工艺可行原则,提出了氰酸酯树脂体系的复合材料蜂窝夹层结构。通过比较不同后处理工艺下M40J/BS-4氰酸酯基复合材料高温层间剪切性能,发现BS-4氰酸酯基复合材料经200℃下3～5 h后处理可获得较佳的高温使用性能。经200℃下4 h后处理的M40J/BS-4氰酸酯基复合材料,在170℃下各项力学性能保持率均达到室温测试值的80%以上。板芯胶高温力学性能测试以及其对夹层结构高温承载性能的影响研究表明,氰酸酯体系的J-245C、J-389B两种板芯胶在温度不超过200℃时均具有足够协调板芯变形及传递板芯间载荷的能力,但高温下胶黏剂的性能退化会造成夹层结构刚度的退化。天问一号探测器蜂窝夹层结构典型单元在高温下的弯曲性能、侧向压缩性能测试结果表明,碳纤维氰酸酯基复合材料铝蜂窝夹层结构具备耐170℃高温下大承载的能力。     

An advanced five-unknown higher-order theory for free vibration of composite and sandwich plates

Accurate prediction of dynamic characteristics is quite critical to understand the strength of layered structures. Nevertheless, the existing five-unknown higher-order theories encounter difficulties to forecast accurately the dynamic response of sandwich structures. Therefore, a new five-unknown higher-order theory is developed for free vibration analysis of composite and sandwich plates, which possesses the same degree of freedom as those of other five-unknown higher-order theories. The developed model can meet beforehand interlaminar continuity conditions and the free-surface conditions of transverse shear stresses. To assess capability of the proposed model, analytical solution for such composite structures with simply-supported conditions has been presented by employing Hamilton’s principle, which is utilized for analysis of mechanical behaviors of composite and sandwich plates. Compared with the three-dimensional (3D) elasticity solutions, 3D finite element results and the results obtained from the chosen five-unknown higher-order models, the proposed model can yield accurately natural frequencies of composite and sandwich plates. Even for the thick plates, the higher-order frequencies calculated from the proposed model are in good agreement with the 3D finite element results. By studying effect of the thickness/length ratios on natural frequencies, it is found that the proposed model is adaptable to predicting natural frequencies of the sandwich plates with the thickness/length ratios between 1/4 and 1/100. In addition, some factors influencing accuracy of five-unknown higher-order models have been investigated in detail. Finally, by means of numerical analysis and discussion, some conclusions have been drawn as well, which can serve as a reference for other investigators.     

夹层板大挠度问题的力学表征与数值模拟

随着材料制备工艺的发展和成型加工技术的日趋完善,夹层板在现代航空领域结构设计中获得了广泛应用,以获得理想的重量及其它功能性指标,工程分析时往往利用薄板理论进行近似分析,这忽略了夹层板的良好的抗弯特性,给分析结果带来较大误差.在薄板大挠度问题及夹层板相关理论的基础上,提出分段叠加法分析大挠度夹层板的变形机理,并利用有限元进行了数值模拟,结合某型飞机蜂窝轮舱壁板静力试验验证了夹层板大挠度变形机理的合理性,证明了叠加法的有效性.     

Capture and detumbling control for active debris removal by a dual-arm space robot

Active debris removal (ADR) technology is an effective approach to remediate the proliferation of space debris, which seriously threatens the operational safety of orbital spacecraft. This study aims to design a controller for a dual-arm space robot to capture tumbling debris, including capture control and detumbling control. Typical space debris is considered as a non-cooperative target, which has no specific capture points and unknown dynamic parameters. Compliant clamping control and the adaptive backstepping-based prescribed trajectory tracking control (PTTC) method are proposed in this paper. First, the differential geometry theory is utilized to establish the constraint equations, the dynamic model of the chaser-target system is obtained by applying the Hamilton variational principle, and the compliance clamping controller is further designed to capture the non-cooperative target without contact force feedback. Next, in the post-capture phase, an adaptive backstepping-based PTTC is proposed to detumble the combined spacecraft in the presence of model uncertainties. Finally, numerical simulations are carried out to validate the feasibility of the proposed capture and detumbling control method. Simulation results indicate that the target detumbling achieved by the PTTC method can reduce propellant consumption by up to 24.11%.     

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.     

蜂窝夹层板撞击实验数据中的野值判别

基于超高速撞击物理实验数据对蜂窝夹层板撞击极限方程进行修正是获得高可信度新方程的一种常用方法,为了提高物理实验数据的可靠性,以国外131个碳纤维复合材料(CFRP)面板的蜂窝夹层板实验数据为对象,进行野值判别方法研究,发现该批数据中存在1个野值。将该野值剔除并基于剩余的130个数据重新进行方程修正后,新方程的总体预测率和安全预测率分别达到82.3%和93.1%,其绝对误差平方和、相对误差平方和分别为0.010、0.506,相对于剔除野值前的修正方程有所改善,表明实验数据野值判别方法可行、有效。为考核方法的适用性,对铝合金面板的蜂窝夹层板的实验数据也进行野值判别分析,结果显示该方法可合理识别野值。     

蜂窝夹芯板疲劳研究进展

蜂窝夹芯板在航空航天领域的应用越来越广泛,其应用过程中出现的疲劳问题也日渐突出,目前关于其疲劳问题的研究还很少,研究采用的试验方法也各不相同,且不同试验方法下,蜂窝夹芯板的疲劳过程具有较大差异。本文回顾了蜂窝夹芯板的疲劳研究进展,通过对比不同试验方法下蜂窝夹芯板的疲劳损伤过程,总结出其疲劳性能的异同点;通过介绍蜂窝夹芯板的疲劳试验方法、疲劳损伤过程、疲劳寿命预测方法以及疲劳寿命曲线,指出了蜂窝夹芯板疲劳寿命领域值得研究的问题以及需要进一步关注的方向。