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41.
In the present work, a further numerical simulation of the starting flow around a flat plate normal to the direction of motion
in a uniform fluid has been made by means of the discrete vortex method. The secondary separation occurring at rear surface
of the plate is explored, and predicted approximately using Thwait's method. The calculated results show that in the early
stages of the flow secondary separation does occur. The evolution of flow field, the vortex growing process and the characteristics
of secondary vortices have been described. The time dependent drag coefficients, the vorticity shed from the edges and rear
surface, and the separation positions are calculated as well as the distributions of velocity and pressure on the plate. In
the case of flow normal to the plate, the calculated secondary vortices are weak. Their existence will change the local velocity
distributions and affect pressure distributions. However, the effect on drag coefficient is negligible. 相似文献
42.
广义Maxwell黏弹性流体在两平板间的非定常流动 总被引:2,自引:0,他引:2
将分数阶微积分运算引入Maxwell黏弹性流体的本构方程,研究了黏弹性流体在两平板问的非定常流动.对于广义Maxwell黏弹性流体的分数阶导数模型,导出了对时间具有分数阶导数的特殊运动方程,利用分数阶微积分的Laplace变换理论,得到了流动的解析解. 相似文献
43.
According to the differential equation for transverse displacement function of anisotropic rectangular thin plates in free vibration, a general analytical solution is established. This general solution, composed of the composite solutions of trigonometric function and hyperbolic function, can satisfy the problem of arbitrary boundary conditions along four edges. The algebraic polynomial with double sine series solutions can also satisfy the problem of boundary conditions at four corners. Consequently, this general solution can be used to solve the vibration problem of anisotropic rectangular plates with arbitrary boundaries accurately. The integral constants can be determined by boundary conditions of four edges and four corners. Each natural frequency and vibration mode can be solved by the determinate of coefficient matrix from the homogeneous linear algebraic equations equal to zero. For example, a composite symmetric angle ply laminated plate with four edges clamped has been calculated and discussed. 相似文献
44.
Yu. K. Rubtsov 《International Applied Mechanics》2006,42(7):832-841
The paper discusses the scaled-boundary method as applied to electroelastic problems. As an example, the stress-intensity
factor is calculated for a thin rectangular piezoelectric plate with an edge crack
__________
Translated from Prikladnaya Mekhanika, Vol. 42, No. 7, pp. 124–134, July 2006. 相似文献
45.
Here, the large amplitude free flexural vibration behaviors of thin laminated composite skew plates are investigated using finite element approach. The formulation includes the effects of shear deformation, in-plane and rotary inertia. The geometric non-linearity based on von Karman's assumptions is introduced. The non-linear governing equations obtained employing Lagrange's equations of motion are solved using the direct iteration technique. The variation of non-linear frequency ratios with amplitudes is brought out considering different parameters such as skew angle, number of layers, fiber orientation, boundary condition and aspect ratio. The influence of higher vibration modes on the non-linear dynamic behavior of laminated skew plates is also highlighted. The present study reveals the redistribution of vibrating mode shape at certain amplitude of vibration depending on geometric and lamination parameters of the plate. Also, the degree of hardening behavior increases with the skew angle and its rate of change depends on the level of amplitude of vibration. 相似文献
46.
Dynamic shearing resistance of molten metal films under high pressures and extremely high shearing rates 总被引:1,自引:0,他引:1
In the present study plate-impact pressureshear experiments have been conducted to study the dynamic shearing resistance of
molten metal films at shearing rates of approximately 107 s−1. These molten films are generated by pressure-shear impact of relatively low melt-point metals such as 7075-T6 Al alloy with
high hardness and high flow-strength tool-steel plates. By employing high impact speeds and relatively smooth impacting surfaces,
normal interfacial pressures ranging from 1–3 GPa and slip speeds of over 100 m/s are generated during the pressure-shear
loading. The resulting friction stress (∼100 to 400 MPa) combined with the high slip speeds generate conditions conductive
to interfacial temperatures approaching the fully melt temperature regime of the lower melt-point metal (7075-T6 aluminum
alloy) comprising the tribo-pair.
During pressure-shear loading, laser interferometry is employed to measure normal and transverse motion at the rear surface
of the target plate. The normal component of the particle velocity provides the interfacial normal traction while the transverse
component provides the shearing resistance of the interface as it passes through melt. In order to extract the critical interfacial
parameters, such as the interfacial slip-speed and interfacial temperatures, a Lagrangian finiteelement code is developed.
The computational procedure accounts for dynamic effects, heat conduction, contact with friction, and full thermo-mechanical
coupling. At temperatures below melt the flyer and target materials are described as an isotropic thermally softening elastic-viscoplastic
solid. For material elements with temperatures in excess of the melt point, a purely Newtonian fluid constitutive model is
employed. The results of this hybrid experimental-computational study provide insights into the dynamic shearing resistance
of molten metal films at high pressures and extremely high shearing rates. 相似文献
47.
A finite element analysis of the flange earrings of strong anisotropic sheet metals in deep-drawing processes 总被引:1,自引:0,他引:1
Flange earrings of strong anisotropic sheet metals in deep-drawing process are numerically analyzed by the elastic-plastic
large deformation finite element formulation based on a discrete Kirchhoff triangle plate shell element model. A Barlat-Lian
anisotropic yield function and a quasi-flow corner theory are used in the present formulation. The numerical results are compared
with the experimental ones of cylindrical cup drawing process. The focus of the present researches is on the numerical analysis
and the constraining scheme of the flange earring of circular sheets with strong anisotropy in square cup drawing process.
The project supported by the National Natural Science Foundation of China (19832020) and Provincial Natural Science Foundation
of Jilin, China (200000519) 相似文献
48.
本文用全纯函数表示微分方程△f(x,y)-λ(~2)f(x,y)=0的一般解,粮据全纯函数的Bekya积分表示法,建立了复数域内的边界积分方程并针对各种边界条件下Reissner型夹层板、Hoff型夹层板进行了数值求解。 相似文献
49.
本文就薄板后屈曲问题建立一组新型的边界元计算公式,用这组公式求解能方便处理各种边界问题,另外文中将面内应力分解成基本部份和附加部份,并利用微分算子分解理论导得了挠度的一个不同形式的基本解,由于计算公式中,实现了面内位移和挠度的解耦,从而使迭代过程得到简化,文末还对圆板后屈曲路径进行了计算,得到了满意的结果。 相似文献
50.