VIBRATION OF TWISTED AND CURVED CYLINDRICAL PANELS WITH VARIABLE THICKNESS

A numerical procedure, with an exact strain-displacement relationship of twisted and curved cylindrical panels having variable thickness derived by considering the Green strain tensor on general shell theory, is presented using the principle of virtual work and the Rayleigh-Ritz method with algebraic polynomials as in-plane and transverse displacement functions. The accuracy and applicability of the procedure are verified by comparing the present results with previous experimental and theoretical results for several panels. The effects of variation ratio of thickness in chordwise and lengthwise directions, twist, and curvature both in two directions aforementioned on vibrations of cylindrical panels are studied in detail, and typical vibration mode shapes are plotted to demonstrate the effects.     

激光扫描轮廓曲面的动态测量

本文提出一种新颖的轮廓曲面动态，实时，非接触光学测量方法，对飞机机翼，汽轮机叶片以及坦克，轿车等的轮廓曲面提供了一种有效的测量方法，该方法是利用激光测头扫描探测，ＣＣＤ（电荷耦合器件）或ＰＳＤ作为光电接收器件，利用微机控制的闭环测量方法，文中还给出了一种ＣＣＤ的新探测驱动方法。     

VIBRATION ANALYSIS OF NON-CIRCULAR CURVED PANELS BY THE DIFFERENTIAL QUADRATURE METHOD

Free-vibration characteristics of cantilever non-circular curved panels are analyzed by using the differential quadrature method (DQM) in this paper. The equations of motion of a curved panel are based on the Love's hypothesis and are expressed in an orthogonal curvilinear co-ordinate system. By applying the differential quadrature formulation and the proposed modified relationships for specified boundary conditions, the free-vibration equations of motion of the curved panel are transformed to a set of algebraic equations. Natural frequencies of a cantilever flat plate and a circular curved panel are obtained for verifying the applicability of the present approach. Good convergent trend and accuracy are observed. Effects of shallowness, thickness and aspect ratios on the natural frequencies of a cantilever curved panel are also investigated. Furthermore, natural frequencies of parabolic curved panels are obtained. In all cases studied, the efficiency and convenience of the DQM are illustrated.     

ANALYSIS OF NON-LINEAR DYNAMIC STABILITY FOR A ROTATING SHAFT-DISK WITH A TRANSVERSE CRACK

In this paper, the nonlinear dynamic stability of a rotating shaft-disk with a transverse crack is studied. The crack and the disk are located in arbitrary positions of the shaft respectively. Using the equivalent line-spring model, the deflections of the system with a crack are constructed by adding a deflection to the deflections of the uncracked system. The unstable regions are confirmed by Runge-Kutta method and the Floquet theory. The effects of crack depth, crack position, disk position, disk thickness and rotating speed on the principal unstable regions are discussed. The numerical results are compared with available data.     

DYNAMIC STABILITY PROBLEM OF A NON-PRISMATIC ROD

A dynamic stiffness matrix for a non-prismatic rod finite element resting on a two-parameter non-homogenous elastic foundation has been determined. To obtain the solution the shape function was approximated by Chebyshev series. This yielded closed analytical formulae for the coefficients of the matrices sought. The finite element obtained was used to solve the dynamic stability problem for a non-prismatic cantilever column. The results were compared with those reported by other authors.     

FREE VIBRATION OF LAMINATED SPHERICAL PANELS WITH RANDOM MATERIAL PROPERTIES

Randomness in the material properties is inherent in all engineering materials. Composites exhibit a greater scatter compared to conventional materials because of the larger number of parameters associated with its fabrication and manufacturing. For accurate prediction of its behavior, the composite material properties have been modelled as random variables in the present study. Higher order shear deformation theory including rotatory inertia effects has been employed in developing the system equations and first order perturbation technique has been adopted for the solution. An approach has been presented for obtaining the analytical solution for generalized eigenvalue problem associated with free vibrations. Mean and variance of the natural frequency have been obtained for cross-ply spherical laminates projected in rectangular plan form with different boundary conditions.     

A NEW MATRIX METHOD FOR SOLVING VIBRATION AND STABILITY OF CURVED PIPES CONVEYING FLUID

This paper proposes a new matrix method for calculating critical flow velocity of curved pipes conveying fluid, which have arbitrary centerline shape and spring supports. Its main advantage over other methods is that the corresponding characteristic equation can be reduced to a third order one, no matter how many elements are discretized in calculation. This will lead to saving computer time and obtaining a solution with good precision.     

充满物质的Friedmann-Robertson-Walker宇宙的稳定性

研究了在含有宇宙(学)常数的Friedmann-Robertson-Walker宇宙模型中,充满、满足p=(γ-1)ρ物质宇宙的稳定性.通过计算引力波的扰动,以及dp/dp=γ-1的扰动,得到对于ε=-1,Λ<0,满足Einstein场方程的宇宙只要γ≥0是不稳定的. 关键词： 充满物质的Friedmann-Robertson-Walker宇宙 虫洞 时空稳定性     

弯曲时片压气机时栅内二次流的数值研究

本文应用Ｂｅａｍ－Ｗａｒｍｉｎｇ近似隐式因子分解格式以及ＭＭＬ代数湍流模型,采用拟压缩性方法求解雷诺平均拟压缩Ｎ－Ｓ方程组,对弯曲叶片压气机叶栅内的三维粘性流场进行了数值研究．结果表明,正弯曲叶栅内通道涡较直叶栅强,其诱导产生的壁面涡较弱且位于吸力面与壁端的角区内,与壁角涡接近．在正弯曲叶栅出口处,通道涡开始处于破裂前期,叶栅总损失增加。反弯曲叶栅通道涡较弱,其诱导的壁面涡很强,位于通道涡左上方,壁面涡和通道涡的有利作用,使通道涡更稳定,叶栅总损失比直叶栅和正弯曲叶栅要小．     

PERFORMANCE AND DYNAMIC STABILITY OF GENERAL-PATH CENTRIFUGAL PENDULUM VIBRATION ABSORBERS

Centrifugal pendulum vibration absorbers are a type of tuned dynamic absorber used for the attenuation of torsional vibrations in rotating and reciprocating machines. They consist of masses that are constrained to move along specific paths relative to the rotational axis of the machine. Previous analytical studies have considered the performance of single absorber systems with general paths and of multi-absorber systems with a specific path type. In this paper, we investigate the performance and dynamic stability of systems comprised of multiple, identical centrifugal pendulum vibration absorbers riding on quite general paths. The study is carried out by considering a scaling of the system parameters, based on physically realistic ranges of dimensionless parameters, which permits application of the method of averaging. It is found that the performance of these systems is limited by two distinct types of instabilities. In one type, the system of absorbers lose their synchronous character, while in the other a classical non-linear jump affects all absorbers identically, leading to highly undesirable system behavior. These results are used to evaluate two common types of absorber paths, namely circles and cycloids, including intentional mistuning of the absorber frequencies. The results are used to make some recommendations about the selection of paths to achieve design goals in terms of absorber performance and operating range. The analytical predictions are confirmed by numerical simulations.     

DYNAMIC STABILITY OF TRAINS MOVING OVER BRIDGES SHAKEN BY EARTHQUAKES

The dynamic stability of trains moving over bridges shaken by earthquakes is studied. Unlike the seismic analysis of structures containing a single subsystem, the seismic analysis of a bridge sustaining a passing train requires not only information on acceleration, but also on velocity and displacement of the ground motion. Four typical earthquakes, including the 1999 Chi-Chi Earthquake, were adopted as the input excitations, each of which was normalized to have a moderate intensity. The results indicate that a train initially resting on the bridge can stay safely under the ground motions considered, if the bridge and track structures do not exhibit inelastic deformations during the earthquake. The type of the vertical component of ground motions can affect significantly the stability of the train-rail- bridge system. As a preliminary attempt, safety, possible instability and instability regions were established in a three-phase plot for the train running over the bridge for each of the earthquakes considered, from which the maximum allowable speed for the train to run safely under the specified ground acceleration can be obtained.     

一些过渡金属与GaAs反应的热稳定性

本文利用Miedema半经验模型计算了Pd,Pt,Ni,Ir,Rh,Co,Ti,Cr,V,Zr与GaAs反应的最终产物的形成焓,从而计算了这些反应以及最终产物中含As相的分解反应的自由能。结合对实验结果的分析得出:对于大部分上述金属与GaAs组成的体系,可以用反应自由能来评估最终产物的形成温度和含As的最终产物的稳定性。 关键词：     

大折转角弯曲扩压叶栅变冲角性能研究

实验研究了叶片正弯曲对某大折转角扇形扩压叶栅变冲角性能的影响。结果表明,叶片吸力面表面静压沿展向呈现明显的“C”型分布,促使端部附近低能流体向中径处迁移,且冲角越大,叶展中部低能流体积聚越多,损失增加明显;零冲角和负冲角时,15°、20°弯角正弯叶栅总压损失低于直叶栅,正冲角时情形相反,而25°弯角正弯叶栅损失在所有实验冲角下均大于直叶栅。因此,慎重选择设计参数是在大折转角扩压叶栅中成功应用叶片弯曲技术的前提。     

高负荷弯曲扩压叶栅中旋涡流动的研究

在不同冲角下,采用五孔探针对三种大弯角压气机叶栅流场进行了详细测量,并利用数值模拟研究了流动分离和旋涡结构对弯叶栅气动性能影响.结果表明,叶栅流道内旋涡由多涡结构向单一涡结构转变的趋势明显,叶片正弯曲加强了近吸力面涡系径向掺混作用;高负荷压气机叶栅中采用正弯叶片,必须抑制中部流动恶化.     

尾板对弯曲叶片压气机叶栅出口流场的影响

进行了带尾板的常规直叶片、正弯曲叶片、反弯曲叶片组成的三种矩型压气机叶栅在低速风洞上的实验研究,测量了叶栅出口流场,分析了零冲角下尾板对叶栅出口能量损失分布情况和二次流速度矢量的影响。结果表明尾板对压气机叶栅,尤其是弯曲叶片压气机叶栅出口流场有很大的影响,反弯曲叶栅的总损失最大。     

Ronchi线条法检验大非球面镜的理论计算

由光线追迹和三级像差理论计算大抛物面的Ｒｏｎｃｈｉ弯线条。分析这两种理论计算方法的结果和偏差，其偏差值随镜子的口径增大而增加，用所计算的结果制作的Ｒｏｎｃｈｉ弯线条检验可移动式平行光管的φ７００ｍｍ口径的抛物面主镜。给出检验结果。     

STABILITY OF TWO-COMPONENT BENARD FLUID WITH SURFACE ADSORPTION ACCUMULATION

A linear stability analysis for a two-component Benard liquid with surface adsorption has revealed a dual role for the surface tension arising from the surfactant-it plays a stabilizing role in some cases and a destabilizing role in others.We have introduced a dimensionless parameter-surface excess number,proportional to the concentration gradient of solute and inversely proportional to the surface adsorption accumulation,to describe the dual effects of surface tension.We predict the existance of a critical surface excess number and calculate its value for two different boundary conditions.Our results have solved the seeming1y contrary results obtahed by Berg and Palmer and Velarde.     

DYNAMIC STABILITY OF SKEW PLATES SUBJECTED TO AERODYNAMIC AND RANDOM IN-PLANE FORCES

This paper presents an investigation into the dynamic stability of skew plates acted upon simultaneously by an aerodynamic force in the chordwise direction and a random in-plane force in the spanwise direction. Due to this random in-plane force, the plate may become unstable before the aerodynamic force reaches its critical value. In this work, the finite element formulation is applied to obtain the discretized system equations. The system equations are then partially uncoupled and reduced in size by the modal truncation method. Finally, the unsmoothed and the smoothed versions of the stochastic averaging are used to calculate the system response, and the second-moment stability criterion is utilized to determine the stability boundary of the system. Numerical results show that the stability boundary obtained by the smoothed stochastic averaging is less conservative than that obtained by the unsmoothed version, and the former is the tangent of the latter at zero spectral density of the random in-plane force.     

三线圈超导磁体在脉冲电流下的动力稳定性分析

对于聚变反应堆中超导载流磁体在稳态电流基础上受到脉冲电流影响时的动力稳定性给出了定量分析方法。结合其超导载流磁体的实验结构,给出了超导磁体在不同稳态工作电流（即低于稳态的磁弹性人稳临界电流）作用下受到矩形脉冲电流作用 磁弹性动力响应的数值模拟结果。在此基础上,给出了关于稳态工作电流、脉冲电流强度和脉冲持续时间等参数的磁弹性动力稳定性参数范围。     

强碰撞下的漂移波稳定性

在碰撞存在时,考虑到在扰动电场作用下电子沿磁力线的宏观运动,用迴旋动力技术导出了强碰撞的积分本征方程。随后用LCN方法严格解析地证明了在平板剪切磁场的作用下,漂移波是绝对稳定的。 关键词：