共查询到20条相似文献,搜索用时 31 毫秒
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Riccardo Riganti 《International Journal of Non》1978,13(1):21-31
The subharmonic solutions of order of the damped Duffing equation are determined in a suitable parametric form, following the procedure recently developed in [8, 9], and are compared with the results obtained by direct numerical integration of the same equation, carried out with respect to the time with the Runge-Kutta method. It can be deduced that the analytical solution gives satisfactory results in the approximation of the ‘predominantly’ subharmonic solutions of the above equation, even if the non-linearity of the system is very large. 相似文献
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C.V. Pao 《International Journal of Non》1973,8(3):219-238
The object of this paper is to study the stability and asymptotic stability of solutions of the non-linear differential equation by using the method of equivalent inner products. This method enables one to determine a stability region without the ingenuity in constructing a Lyapunov function. It shows also that for an unstable linear system it is possible to choose a non-linear function so that the non-linear system is stable or asymptotically stable. Both global and regional stability are discussed. 相似文献
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A wide range of experimental holdup data have been analysed on the basis of the general correlations of Chen & Spedding (1983). For upward inclined flow, holdup data in the range to 275 were handled using a modification of the Chen & Spedding method, and for the case of , the modified Armand equation was found to be suitable. Horizontal stratified flow was examined using the Bernoulli equation, and shown to be a limiting case of the free draining of a tube initially filled with liquid. For downward inclined stratified flow, the Manning equation predicted the holdup accurately for low liquid rates and small angles of inclination. In addition, for these two cases of horizontal and downward stratified flow, the holdup also was examined in terms of the critical depth of flow as determined using the total energy relation. 相似文献
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M.O. Tucker 《Journal of the mechanics and physics of solids》1973,21(6):411-426
The arrangement of discrete screw dislocations piled-up under the action of a uniform applied stress against the welded interface between different elastically isotropic half-spaces has been determined by representing the pile-up as a continuous distribution of infinitesimal dislocations. The dislocation slip plane is inclined at an arbitrary angle to the normal to the interface, assuming a to be a rational number. The singular integral equation expressing the condition for static equilibrium of the dislocations under a constant applied stress is solved by a method based on the Wiener-Hoph technique with the Mellin transform, and from this solution the mean density of dislocations and the stress field of the pile-up are determined. 相似文献
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Donald R. Childs 《International Journal of Non》1973,8(4):371-379
The non-linear equation is shown to represent simply periodic motion with a minimum at R1 and a maximum at R1R0 or a maximum at R1 and a minimum at R1R0?1. R0 is a function of the ratio and is greater than 1 for > 1 and less than 1 for > 1. The period of the motion satisfies the simple relation T(R0?1) = R0?1T(R0). The exact solution to the above equation is represented in terms of elliptic integrals of the first and second kinds and a simple algebraic function. 相似文献
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Michel Bouthier 《Comptes Rendus Mecanique》2003,331(2):165-172
An isochoric motion can be performed both in perfect fluid, in Newtonian fluid, in Maxwell fluid (slow motions) and in Rivlin–Ericksen fluid of second grade whatever be viscosities and viscometric coefficients, iff the motion is universal. Every universal motion with steady vorticity is a generalised Belrami flow, and fulfils the Stokes equation. If the velocity of an universal motion complies with , the motion stands for feasible motion in every second order fluid. Brothers of the potential flows, all the sets of universal motions make up bundles of linear or cono??d spaces with various dimensions, finite or infinite, issued from the rest . The structures appear by scanning parallel to the potential flows. To cite this article: M. Bouthier, C. R. Mecanique 331 (2003). 相似文献
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A boundary value problem related to a third order parabolic equation with a small parameter ε is analized. This equation models the one-dimensional evolution of many dissipative media as viscoelastic fluids or solids, viscous gases, superconducting materials, incompressible and electrically conducting fluids. Moreover, the third order parabolic operator regularizes various nonlinear second order wave equations. In this paper, the hyperbolic and parabolic behaviour of the solution of is estimated by means of slow timeτ=εt and fast timeθ=t/ε. As consequence, a rigorous asymptotic approximation for the solution of is established. To cite this article: M. De Angelis, P. Renno, C. R. Mecanique 330 (2002) 21–26 相似文献
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Tyn Myint-U 《International Journal of Non》1977,12(1):33-36
A class of complete integrals of the plane eikonal equation for harmonic u(x,y) is determined by using complex variables. The case in which z = 0 is a singular point of the analytic function whose real part is log f is also treated. Illustrative examples are given. 相似文献
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A method for monitoring time-varying local film thickness variation through the detection of laser scattering from suspended latex particles is briefly described. This method was used in conjunction with the Jeffreys theory of drainage from a flat plate to determine time-average local film thickness.Measurements were made at Reynolds numbers (equal to ()) from 145 to 4030 at varying distances along the direction of flow. At the bottom of the flow, 134 cm from the top, average film thickness is given by the expression: where and are constants unique to each of the three Reynolds number regions, wavy laminar, transitional and turbulent. 相似文献
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E. Shiratori K. Ikegami F. Yoshida 《Journal of the mechanics and physics of solids》1979,27(3):213-229
A method of analyzing plastic behavior by use of an anisotropic hardening plastic potential is proposed. The plastic potential surface in deviatoric stress space is assumed to be the same as the equi-plastic-strain surface. Stress-strain relations in combined loading and in multi-axial cyclic loading are calculated by use of the anisotropic hardening plastic potential and the normality rule of the plastic strain increment vector to the plastic potential surface, which are experimentally determined or confirmed by subjecting thinwalled tubular test specimens of brass to combined axial load, internal pressure and torsion. The calculated results agree fairly well with the experimental observations. 相似文献
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Slow flow through a periodic array of spheres is studied theoretically, and the drag force by the fluid on a sphere forming the periodic array is calculated using a modification of the method developed by Hashimoto (1959). Results for the complete range of volume fraction of spheres are given for simple cubic, body-centered cubic, and face-centered cubic arrays and these agree well with the corresponding values reported by previous investigators. Also, series expansions for the drag force to 0() are derived for each of these cubic arrays. The method is also applied to determine the drag force to 0() on infinitely long cylinders in square and hexagonal arrays. 相似文献