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991.
Numerical simulations of a spherical particle sedimenting in circular, triangular and square conduits containing a viscous, inertialess, Newtonian fluid were investigated using the Boundary Element Method (BEM). Settling velocities and pressure drops for spheres falling along the centre-lines of the conduits were computed for a definitive range of sphere sizes. The numerical simulations for the settling velocities showed good agreement with existing experimental data. The most accurate analytic solution for a sphere settling along the axis of a circular conduit produced results which were almost indistinguishable from the present BEM calculations. For a sphere falling along the centre-line of a square conduit, the BEM calculations for small spheres agreed well with analytic results. No analytic results for a sphere falling along the axis of a triangular conduit were available for comparison. Extrapolation of the BEM predictions for the pressure drops, to infinitely small spheres, showed remarkable agreement with analytic results. For the circular conduit, the sphere's settling velocity and angular velocity were computed as a function of drop position for small, medium and large spheres. Excellent agreement with a reflection solution was achieved for the small sphere. In addition, end effects were investigated for centre-line drops and compared where possible with available experimental data and analytic results.Los Alamos National Laboratory, Los Alamos, New Mexico, USA. 相似文献
992.
993.
纳米压痕过程的三维有限元数值试验研究 总被引:15,自引:3,他引:15
采用有限元方法模拟了纳米压痕仪的加、卸载过程,三维有限元模型考虑了纳米压痕仪的标准Berkovich压头.介绍了有限元模型的几何参数、边界条件、材料特性与加载方式,讨论了摩擦、滑动机制、试件模型的大小对计算结果的影响,进行了计算结果与标准试样实验结果的比较,证实了模拟的可靠性.在此基础上,重点研究了压头尖端曲率半径对纳米压痕实验数据的影响.对比分析了尖端曲率半径r=0与r=100nm两种压头的材料压痕载荷—位移曲线.结果表明,当压头尖端曲率半径r≠0时,基于经典的均匀连续介质力学本构理论、传统的实验手段与数据处理方法,压痕硬度值会随着压痕深度的减小而升高. 相似文献
994.
995.
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
996.
Transient and steady state dynamic response of a class of slider-crank mechanisms is investigated. Specifically, the class
of mechanisms examined involves rigid members but compliant supporting bearings. Moreover, the mechanisms are subjected to
non-ideal forcing. Namely, both the driving and the resisting loads are expressed as a function of the angular coordinate
describing the crank rotation. First, an appropriate set of equations of motion is derived by applying Lagrange's equations.
These equations are strongly nonlinear due to the large rigid body rotation of the crank and the connecting rod, as well as
due to the nonlinearities associated with the bearing action and the form of the driving and the resisting loads. Consequently,
the dynamics of the resulting dynamical system is examined by solving the equations of motion numerically. More specifically,
transient response is captured by direct integration, while determination of complete branches of steady state response is
achieved by applying appropriate numerical methodologies. Initially, mechanisms whose crankshaft is supported by bearings
with rolling elements and linear stiffness characteristics are examined. Then, numerical results are presented for rolling
element bearings with nonlinear stiffness characteristics. Finally, the study is focused on mechanisms supported by hydrodynamic
bearings. In all cases, the attention is focused on investigating the influence of the system parameters on its dynamics.
Moreover, models with constant crank angular velocity are first analysed, since they provide valuable insight into some aspects
of the system dynamics. Eventually, the emphasis is shifted to the general case of non-ideal forcing, originating from the
dependence of the driving and the resisting moments on the crankshaft motion. 相似文献
997.
H.B.H. Gubran 《Mechanics Research Communications》2005,32(4):368-374
In this paper the dynamic performance and cross-section deformation of shafts made of metals (steel and aluminum), composites (CFRP and GFRP) and hybrids of metals and composites have been studied. A layered finite degenerated shell element with transverse shear deformation and dynamic behavior is employed. Results obtained show that improvements in dynamic performance and reduction of cross-section deformation of hybrid shafts over metallic and composite shafts are possible. 相似文献
998.
In a previous article the authors introduced a Lagrange multiplier based fictitious domain method. Their goal in the present article is to apply a generalization of the above method to: (i) the numerical simulation of the motion of neutrally buoyant particles in a three-dimensional Poiseuille flow; (ii) study – via direct numerical simulations – the migration of neutrally buoyant balls in the tube Poiseuille flow of an incompressible Newtonian viscous fluid. Simulations made with one and several particles show that, as expected, the Segré–Silberberg effect takes place. To cite this article: T.-W. Pan, R. Glowinski, C. R. Mecanique 333 (2005). 相似文献
999.
高纯铝箔在特定的溶液下经过电化学阳极氧化腐蚀,可在其表面生成一层多孔的非晶氧化铝层,其孔径分布非常均匀,孔大致呈六方密排布。由于此类薄膜具有规则的纳米级孔径,大的比表面积,良好的自组织排列性,所以其日益受到人们的关注。然而,到目前为止,对于此类薄膜力学性能的研究还很少,所以在一定程度上限制其功能的开发和应用。为了获得此类多孔膜的弹性常数,本文首先由实验出发,通过光力学检测(双光束散斑干涉)的方法得到薄膜拉伸时的整体表观弹性模量。然后对薄膜建立二维有限元模型,运用均匀化理论反推出其基体(无孔结构)的弹性模量,同时考察了不同的基体泊松比对模型整体表观模量的影响,并且用一般有限元方法验证了沿特定方向拉伸时均匀化模型计算的有效性。 相似文献
1000.
E. K. Ankyanets 《International Applied Mechanics》2005,41(10):1177-1181
The vibrations of a cylindrical shell reinforced with circular ribs attached to it by means of discrete elastic elements are
studied. The problem is solved by the finite-element method. The shell and ribs are modeled by a plane four-node finite element,
which is a combination of a four-node plane stress element and a four-node flexural element. The effect of the stiffness of
the elastic elements on the natural frequencies and modes is examined
__________
Translated from Prikladnaya Mekhanika, Vol. 41, No. 10, pp. 108–113, October 2005. 相似文献