摩擦学试验中多个旋转变量的在线测量与记录

本文研究了一种多变量在线测录仪，可用其在定向运转和反复正反变向运转的摩擦学试验中连续测量和记录试样的角速度、方位角、转数和摩擦距离等多个旋转变量的瞬时值，并且通过时间变量的关系，还可以清晰地显示出它们的变化过程和相互关系，基本能够描绘出试样在整个摩擦试验过程中的旋转动态。文章指出，利用这种测录仪还可得出一些间接的信息，如摩擦副的相对滑动量和试验过程中试样摩擦力的变化等。该仪器具有一机多用、所占空间     

Energy elastic effects and the concept of temperature in flowing polymeric liquids

The incorporation of energy elastic effects in the modeling of flowing polymeric liquids is discussed. Since conformational energetic effects are determined by structural features much smaller than the end-to-end vector of the polymer chains, commonly employed single conformation tensor models are insufficient to describe energy elastic effects. The need for a local structural variable is substantiated by studying a microscopic toy model with energetic effects in the setting of a generalized canonical ensemble. In order to examine the dynamics of flowing polymeric liquids with energy elastic effects, a thermodynamically admissible set of evolution equations is presented that accounts for the evolution of the microstructure in terms of a slow tensor, as well as a fast, local scalar variable. It is demonstrated that the temperature used in the definition of the heat flux is directly related to the Lagrange multiplier of the microscopic energy in the generalized canonical partition function. The temperature equation is discussed with respect to, first, the dependence of the heat capacity on the polymer conformation and, second, the possibility to measure experimentally the effects of the conformational energy.

INTEGRATION METHOD FOR THE DYNAMICS EQUATION OF RELATIVE MOTION OF VARIABLE MASS NONLINEAR NONHOLONOMIC SYSTEM

1.IntroductionMoreandmoreattentionhasbeenpaidtothestudyofdynamicsofcomplicatedsystemwiththedevelopmentofmodernscienceandtechnology.Thestudyoftherelativemotionofvariablemasssystembyusingthetheoryandmethodofanalyticalmechanicsnotonlycanunifytheexpressionformbutalsocandisplayitssuperioritytothecomplicatedsystem.In1961,thedynamicsofrelativemotionofholonomicsystemwasderivedbyLur'ell].Inrecehtyears,LiulZIandLuol3'4]havegiventhedynamicsequationsofrelativemotionofvariablemassnonholonomicsystem.Howe…     

A new variable inclination shock tube for multiple investigations

A new variable inclination shock tube has been set up especially for the visualization of shock induced high speed flows. This device allows for the generation of shock waves of Mach numbers ranging from 1.05 to 4, moving horizontally, vertically from up to down or the opposite, or with any inclination angle. It is coupled with a suitable high-speed camera shadowgraph visualization system, and the whole facility has been realized so as to be both very easy to use and movable. We believe this example could be of interest to scientists interested in starting experiments on shock wave induced multi-phase complex flows.     

THE LIE SYMMETRIES AND CONSERVED QUANTITIES OF VARIABLE-MASS NONHOLONOMIC SYSTEM OF NON-CHETAEV''''S TYPE IN PHASE SPACE

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Equivalence Classes and Symmetries of the Variable Coefficient Kadomtsev—Petviashvili Equation

We classify the variable coefficient Kadomtsev—Petviashvili (VCKP) equation into equivalence classes under the group of local point transformations, leaving the equation form invariant but changing the coefficient functions. We list the representatives of all equivalence classes with the corresponding transformations. Then, we obtain the symmetry group of the VCKP equation and in particular discuss how to use these transformations to classify low-dimensional symmetry algebras in the generic case. We conclude with a discussion of the implications of the present article.     

Stability of the Sliding Mode in Nonstationary Automatic-Control Systems with Variable Structure

The paper addresses the stability of the sliding mode in nonstationary automatic-control systems of variable structure. The parameters of dynamic states are assumed to vary arbitrarily and continuously within a given bounded domain. The existence and stability conditions for the sliding mode on the switching hyperplane are established. They define nonstationary sets that contain phase velocity vectors directed away from the sliding hyperplane. The sets do not have common points with the switching hyperplane, except for the origin, for the known extreme values of the discontinuous coefficients of logical controls. This is the essence of the necessary and sufficient conditions for the stable sliding mode of the automatic-control system. The general results are used to analyze the stability conditions for the sliding mode in a nonstationary automatic-control system with a variable structure of the third order     

A variant of the low-Reynolds-number two-equation turbulence model applied to variable property mixed convection flows

Previous work has demonstrated that the low-Reynolds-number model of Launder and Sharma (1974) offers significant advantages over other two-equation turbulence models in the computation of highly non-universal buoyancy-influenced (or “mixed convection”) pipe flows. It is known, however, that the Launder and Sharma model does not possess high quantitative accuracy in regard to simpler forced convection flows. A variant of the low-Reynolds-number scheme is developed here by reference to data for constant property forced convection flows. The re-optimized model and the Launder and Sharma formulation are then examined against experimental measurements for mixed convection flows, including cases in which variable property effects are significant.     

圆柱壳大开孔问题——单圆孔的理论解

从Ｄｏｎｎｅｌｌ圆柱壳方程出发，利用复变函数与保角映射的方法，将圆柱壳展开面上的开孔边界线保角晨射成单位圆，并在映射平面上给出了逼近大开孔圆柱壳方程解答的完备函数逼近序列，进而利用边界条件和正交函数展开的方法得到了自由孔边应力集中系数的表达式，最后，对具有开孔率的圆柱壳在不同荷载条件下的自由孔口边界上的应力集中的系数进行了计算，此种方法，同时研究圆柱壳开非圆大孔和接管等问题提供了可能性。     

一种改进的变结构控制器在转台中的应用

针对变结构控制的抖振问题,本提出了一种新的解决方案,采用多切换面的改进变结构控制,在保证了理想滑动模态的抗干扰能力强、鲁棒性好的优点的同时,很好的削弱了系统抖振。仿真结果表明,这种控制规律应用在转台上取得了良好的控制效果。