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81.
非线性粘弹性拟静态问题与非线性弹性静力问题对应原理 总被引:7,自引:0,他引:7
本文应用多重单边拉氏变换导出了非线性粘弹性拟静态问题与非线性弹性静力问题的对应关系,从而把过去认为只有线性条件下存在的粘弹性——弹性对应原理拓展到了非线性范畴 相似文献
82.
Angelo Luongo 《Nonlinear dynamics》1996,10(4):317-331
Two perturbation methods for nonlinear autonomous discrete-time dynamical systems are presented. They generalize the classical Lindstedt-Poincaré and multiple scale perturbation methods that are valid for continuous-time systems. The Lindstedt-Poincaré method allows determination of the periodic or almost-periodic orbits of the nonlinear system (limit cycles), while the multiple scale method also permits analysis of the transient state and the stability of the limit cycles. An application to the discrete Van der Pol equation is also presented, for which the asymptotic solution is shown to be in excellent agreement with the exact (numerical) solution. It is demonstrated that, when the sampling step tends to zero the asymptotic transient and steady-state discrete-time solutions correctly tend to the asymptotic continuous-time solutions. 相似文献
83.
84.
In this paper, a reliable technique for calculating angular frequencies of nonlinear oscillators is developed. The new algorithm offers a promising approach by constructing a Hamiltonian for the nonlinear oscillator. Some illustrative examples are given. 相似文献
85.
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
86.
Ling Guocan 《Acta Mechanica Sinica》1988,4(3):211-222
In the present paper the mechanism involved in vortex shedding flows is investigated in detail. In the early stage of the
unsteady separated flow the interaction between secondary vortices and primary vortices is quite strong. In the later stage
of the flow, corresponding to the vortex shedding the recirculating flow region on each side of the aft body goes through
such a cycle: growth-contraction-growth, the secondary separation occurs periodically rather than continuously. The reduction
of circulation is taken into account in three cases with different decay factors to study its influence on the prediction
of main flow characteristics. Results show that to simulate vortex shedding flow it is necessary to include the reduction
of circulation to bring the calculated results into good agreement with experiments. An improved discrete vortex model is
suggested in which both the secondary separation and the reduction are incorporated. The processes of vortex shedding, the
forces prediction and other flow characteristics are given and some discussions are made.
Porject is supported by National Natural Science Foundation of China. 相似文献
87.
The purpose of this research is to investigate the effects of material inhomogeneity on the response of linearly elastic isotropic solid circular disks or cylinders, rotating at constant angular velocity about
a central axis. The work is motivated by the recent research activity on functionally graded materials (FGMs), i.e., materials
with spatially varying properties tailored to satisfy particular engineering applications. The analog of the classic problem
for a homogeneous isotropic rotating solid disk or cylinder is considered. The special case of a body with Young"s modulus depending on the
radial coordinate only, and with constant Poisson"s ratio, is examined. For the case when the Young"s modulus has a power-law
dependence on the radial coordinate, explicit exact solutions are obtained. It is shown that the stress response of the inhomogeneous disk (or cylinder) is significantly different from that of the homogeneous body. For example, the maximum radial and hoop
stresses do not, in general, occur at the center as in the case for the homogeneous material. Furthermore, for the case where the Young"s
modulus increases with radial distance from the center, it is shown that radially symmetric solutions exist provided the rate of growth of
the Young"s modulus is, at most, cubic in the radial variable. It is also shown for the general inhomogeneous isotropic case how the material inhomogeneity may
be tailored so that the radial and hoop stress are identical throughout the disk.
This revised version was published online in August 2006 with corrections to the Cover Date. 相似文献
88.
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
89.
The sloshing problem is considered in a half-space covered by a rigid dock with apertures. The dependence of the fundamental sloshing frequency on the shape of the free surface region is studied. It is proved that the inequality holds between the fundamental eigenvalues corresponding to two different regions if some conditions are fulfilled. These conditions are verified for particular classes of regions of a fixed area in order to demonstrate that the disk yields the maximum of the fundamental eigenvalue for each of these classes. On the other hand, examples of regions are constructed for which the fundamental eigenfrequency is larger than that for the circular aperture of the same area and even as large as one wishes. To cite this article: V. Kozlov, N. Kuznetsov, C. R. Mecanique 330 (2002) 723–728. 相似文献
90.