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991.
For the N-degree-of-freedom of linear conservative vibratory systems, the corresponding potential functions can be viewed as N-hypersurfaces in (N + 1)-dimensional space. In this paper, a connection between the geometrical properties (principal curvatures, curvature lines) of potential surfaces and the vibratory characteristics (natural frequencies, linear modes) of the system is built. It is proved that the linear normal modes are exactly the projections of the lines of curvature on the potential surface onto the configuration space with metric mij (the mass-matrix); and that the squared natural frequencies are exactly the principal curvatures, at the origin of the configuration space, of the potential surface. 相似文献
992.
飞机风挡结构抗鸟撞一体化设计技术研究 总被引:13,自引:1,他引:13
结合大型非线性有限元分析软件,实践了飞机风挡结构由初步设计、数值仿真以及实验验证的一体化设计过程,建立了适于风挡结构材料的非线性黏弹性本构计算接口程序,对合理选取单元类型、材料模型、边界条件影响以及试验设计等工作细节进行了深入研究,通过实验与仿真计算结果的对比,验证了数值仿真计算模型的精度.为飞机风挡的抗鸟撞结构设计-数值仿真-实验验证一体化技术提供了支持论证. 相似文献
993.
开区注氮采空区自燃温度场的数值模拟研究 总被引:4,自引:1,他引:4
为了研究开区注氮采空区遗煤自燃和被抑制的力学过程,用非均质多孔介质中的渗流连续性方程、气体弥散方程和综合传热方程的联立,建立了采空区注氮非定常数值模型.结合实例,用迎风格式有限元方法求解.给出了采空区的漏风流态、氮气流态,描绘了采空区自燃过程中氧、CO浓度和温度分布的变化过程.计算考虑了瓦斯涌出和工作面推进的影响.得到注氮条件下采空区高温区形状变窄;随着注氮量的提高,使自然发火期逐渐变长,直至不自燃.理论计算与实际情况吻合. 相似文献
994.
Poro-micromechanics allows for the quantification of poroelastic properties such as the Biot and Skempton coefficients, once a continuum micromechanics model for the material under consideration has been developed and validated. Employing such a model for the transversely isotropic elasticity of cortical and trabecular bone, we determine the tensors of Biot and Skempton coefficients as functions of the volume fractions of mineral, collagen, and the micropore space (Haversian and Volkmann canals, and the inter-trabecular space). Increase of microporosity, as experienced in osteoporosis, as well as decrease of mineral content, as experienced in osteomalacia, lead to an increase of Biot and Skempton coefficients, i. e. to magnification of the mechanical role of the marrow filling the micropore space. For quantification of the marrow pressure rise upon downfall, undrained conditions are appropriate, as can be shown by model predictions of non-destructive impact experiments. 相似文献
995.
996.
研究了振动波在含有环向表面裂纹的无限长圆柱壳中的传播特性.圆柱壳体的振动用Flügge方程来描述.运用线弹性断裂力学的理论,考虑到裂纹的张开、滑移和撕裂3种模式以及它们相互之间的耦合,利用分布的线弹簧来模拟裂纹并建立了裂纹所在区域的局部柔度矩阵,得到由此引起的附加位移和壳体中内力之间的关系.在入射波已知的情况下,根据裂纹两侧区域的位移和内力的连续性条件得到了反射和透射波的幅值系数.分析了入射波通过裂纹后的透射、反射系数与激励频率和裂纹尺寸之间的关系.为基于振动功率流方法识别圆柱壳表面损伤提供了理论基础. 相似文献
997.
Viscous waves and waves over a submerged cylinder in a stationary tank are simulated using a volume-of-fluid numerical scheme on adaptive hierarchical grids. A high resolution interface-capturing method is used to advect the free surface interface and the Navier–Stokes equations are discretised using finite volumes with collocated primitive variables and solved using a Pressure Implicit with Splitting of Operators (PISO) algorithm. The cylinder is modelled by using the technique of Cartesian cut cells. Results of flow of a single fluid past a cylinder at Reynolds number Re=100 are presented and found to agree well with experimental and other numerical data. Viscous free surface waves in a tank are simulated using uniform and quadtree grids for Reynolds numbers in the range from 2 to 2000, and the results compared against analytical solutions where available. The quadtree-based results are of the same accuracy as those on the equivalent uniform grids, and retain a sharp interface at the free surface while leading to considerable savings in both storage and CPU requirements. The nonlinearity in the wave is investigated for a selection of initial wave amplitudes. A submerged cylinder is positioned in the tank and its influence on the waves as well as the hydrodynamic loading on the cylinder is investigated. 相似文献
998.
999.
A parametric study of droplet deformation through a microfluidic contraction: Shear thinning liquids
D.J.E. Harvie M.R. Davidson J.J. Cooper-White M. Rudman 《International Journal of Multiphase Flow》2007
Numerical simulations of a droplet passing through an axisymmetric microfluidic contraction are presented, focusing on systems where one of the two liquids present is shear thinning. The simulations are performed using a transient Volume of Fluid (VOF) algorithm. When the droplet is shear thinning and the surrounding phase Newtonian, droplets deform in a similar way to Newtonian droplets that have a viscosity equal to the average viscosity of the shear thinning fluid while it is within the contraction. When the surrounding phase is shear thinning and the droplet Newtonian, droplets deform in a similar way to droplets contained within a Newtonian liquid that has a viscosity that is lower than that of the droplet. In both cases the behaviour of the shear thinning fluid can be broadly described in terms of a ‘characteristic’ Newtonian viscosity: However, determining the exact value of this viscosity without performing a full shear thinning simulation is not possible. 相似文献
1000.