NONLINEAR VIBRATION OF CIRCULAR SANDWICH PLATES UNDER CIRCUMJACENT LOAD

Based on von Karman plate theory, the issue about nonlinear vibration for circular sandwich plates under circumjacent load with the loosely clamped boundary condition was researched. Nonlinear differential eigenvalue equations and boundary conditions of the problem were formulated by variational method and then their exact static solution can be got. The solution was derived by modified iteration method, so the analytic relations between amplitude and nonlinear oscillating frequency for circular sandwich plates were obtained. When circumjacent load makes the lowest natural frequency zero, critical load is obtained.     

滚滑工况弹流反常温度场的研究

研究了弹流反常温度场的形成机理及影响因素，指出入口温升是压缩功发热和逆流剪切热所致，而出口局部低温是负压缩功吸热的结果，出口温度的再次微幅上升则是压缩功消失后剪切热作用的结果．研究结果表明，入口温升随载荷的增加而增大，随卷吸速度的增加显著升高而几乎与滑滚比无关；在高速小滑滚比工况下，接触区的最高温度有可能出现在入口位置；入口温升增加了材料在工作中经受高温的次数，对其接触疲劳寿命有不利影响；在保证润滑性能的前提下，适当减少供油量可以减小逆流，从而降低入口温升。     

径向轴承启动过程瞬态热效应的研究

联立求解广义雷诺方程、油膜瞬态三维能量方程、轴瓦瞬态三维固体热传导方程及轴颈的运动方程，并考虑粘度和密度随温度及压力的变化，在油膜与轴瓦界面使用热流连续性边界条件，确定了在承受稳态载荷时圆轴承在启动过程中的温度变化情况．介绍了一种有效的用于求解轴承瞬态性能的改进Newton—Raphson算法．结果表明：整个系统达到热平衡的时间与启动加速度的大小无关；启动加速度越高，温度升高越快；在启动过程中，油膜最高温度出现的位置沿膜厚方向而变化．同有关试验结果的对比证实所建模型和所用算法正确可行．     

THE DYNAMIC BUCKLING OF AN ORTHOTROPIC CYLINDRICAL THIN SHELL UNDER TORSION VARYING AS A POWER FUNCTION OF TIME

The subject of this investigation is to study the buckling of orthotropic cylindricalthin shells under torsion,which is a power function of time.The dynamic stability and compati-bility equations are obtained first.These equations are subsequently reduced to a time dependentdifferential equation with variable coefficient by using Galerkin's method.Finally,the critical dy-namic and static loading,the corresponding wave numbers,the dynamic factors,critical time andcritical impulse are found analytically by applying the Ritz type variational method.Using thoseresults,the effects of the variations of the power of time in the torsion load expression,of theloading parameter,the ratio of the Young's moduli and the ratio of the radius to thickness onthe critical parameters are studied numerically.It is observed that these factors have appreciableeffects on the critical parameters of the problem in the heading.     

复合结构剪切板的屈曲与后屈曲研究

基于Ｒｅｉｓｓｎｅｒ剪切板理论，本文将现有理论模型推进了一步，导出了控制复合材料和构造矩形板平衡的广义Ｋａｒｍａｎ大挠度方程。此外，运用摄动技术，构造了一个单向压缩简支剪切矩形板的后屈曲渐近解，适用于面板和夹心材料都具正交各向异性的夹层板以及计及横向剪切变形对称铺设的层合板。文中给出了典型算例，并将当前结果与其它理论或数值解作了比较，显示出相当好的一致性。     

充满水的金属圆柱壳经受轴向撞击时屈曲过程的实验研究

本文报道了五种规格充满水的圆柱壳经受大质量低速度轴向撞击作用时屈曲过程的实验结果。研究表明由于液体的存在，圆柱壳的屈曲模态呈轴对称型的环带波纹，整个撞击过程可以明显地分为振荡的动力加载、平稳发展的后屈曲和迅速下降的弹性卸载三个阶段。并讨论了试件壁厚和高度等几何参数对其屈曲性能的影响。     

Numerical Analysis of the Influence of Thermal Stresses on the Nonlinear Thermomolecular Pressure Difference Effect

On the basis of a numerical analysis of the non-Navier-Stokes gas-dynamic equations for slow non-isothermal gas flows, the nonlinear thermomolecular pressure difference effect due to a large temperature gradient along the lateral surface of a capillary is investigated. It is shown that the magnitude of the effect is substantially different from the values calculated using the Navier-Stokes equations. For two models of molecular interaction (Maxwell molecules and hard spheres), the possibility of a quasi-one-dimensional interpretation of the effect for experimental estimation purposes is demonstrated. The solutions of the relaxation kinetic equation for flow in a plane capillary at small Knudsen numbers and the gas-dynamic equations for slow non-isothermal flows are compared and the range of their applicability is estimated.     

水平圆管中受压扭作用管桩屈曲后的解析解

首先建立了考虑自重、受水平圆管约束的管柱在压担组合作用下的屈曲方程：此方程为四阶强非线性常微分方程，难以直接精确求解；通过管柱的正弦屈由分析，找到了方程中的小参数；利用小参数摄动法求解了强非线性屈曲方程，得到了管柱螺旋屈曲后的实际屈曲构形解析解，由此可进一步得到管柱发生螺旋屈曲的临界载荷；所得解析结果与数值计算结果及本文结果退化后与文献中的相关结果比较都有良好的一致性．     

Study of thermal deformation of microelectronics packaging product by interferometric technique

In this paper, the out-of-plane deformation of silicon surface of Direct Chip Attachment (DCA) assembly, under thermal loading, was measured in real-time by Twyman/Green interferometry. The contour maps of the out-of-plane displacement fields of silicon surface under thermal loading and cycling of various temperature were obtained. Experimental results show that the relation between the out-of-plane displacement and temperature is nonlinear and varies with temperature cycling, due to nonlinear mechanical behavior of the materials used in electronic packaging. A comparison of the out-of-plane displacement fields of silicon surface measured by T/G interferometry in real-time and replicating technique of high temperature specimen grating of moire interferometry was made.     

一套预测冰面上汽车牵引力的模型

根据传热学中的热平衡原理及冰的摩擦经理论，建立了冰面汽车牵引力的预测模型。研究表明：所建立的理论模型比已有的模型更接近实际，从摩擦学角度系统分析了汽车工作条件和环境因素以及表面粗糙度等对牵引力的影响，提出了今后研究中有待解决的几个问题。