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991.
给出两水平固壁间两层不可压缩理想流体中二维非线性界面波的演化方程,首先建立出这个演化方程,并由此方程在一定条件下得到二维非线性界面长波满足的近似方程,然后从理论上证明这个长波近似方程包含了以下两个描述一阶界面升高的著名的浅水孤立波方程;Korteweg-de Vries(KdV)方程和Kadomtsev-Petvishvili(KP)方程,所得特殊结果与前人的一致,表明所建立的二维非线性界面波演化方程正确且具有一般性。 相似文献
992.
以线性系统的非线性修改方法为基础,导出了局部非线性振动的灵敏度分析方法;提出了灵敏度为指导的优化设计思想,并将其应用于大型结构上的局部非线性因素的优化设计。文中介绍一些典型非线性特征的数学描述。最后,本文以火炮结构中的炮口振动为例,提出在炮口处增设炮口减振器的设计思想,并用本文方法对炮口减振器的参数进行优化设计,得到满意的结果。 相似文献
993.
In this paper chaotic behavior of nonlinear viscoelastic panels in asupersonic flow is investigated. The governing equations, based on vonKàarmàn's large deflection theory of isotropic flat plates, areconsidered with viscoelastic structural damping of Kelvin's modelincluded. Quasi-steady aerodynamic panel loadings are determined usingpiston theory. The effect of constant axial loading in the panel middlesurface and static pressure differential have also been included in thegoverning equation. The panel nonlinear partial differential equation istransformed into a set of nonlinear ordinary differential equationsthrough a Galerkin approach. The resulting system of equations is solvedthrough the fourth and fifth-order Runge–Kutta–Fehlberg (RKF-45)integration method. Static (divergence) and Hopf (flutter) bifurcationboundaries are presented for various levels of viscoelastic structuraldamping. Despite the deterministic nature of the system of equations,the dynamic panel response can become random-like. Chaotic analysis isperformed using several conventional criteria. Results are indicative ofthe important influence of structural damping on the domain of chaoticregion. 相似文献
994.
995.
A nonlinear Galerkin/ Petrov- least squares mixed element (NGPLSME) method for the stationary Navier-Stokes equations is presented and analyzed. The scheme is that Petrov-least squares forms of residuals are added to the nonlinear Galerkin mixed element method so that it is stable for any combination of discrete velocity and pressure spaces without requiring the Babuska-Brezzi stability condition. The existence, uniqueness and convergence ( at optimal rate ) of the NGPLSME solution is proved in the case of sufficient viscosity ( or small data). 相似文献
996.
The behavior of a mass point moving along a parabola under theeffect of an external periodic excitation in resonance with the naturalfrequency of the oscillator is studied. The asymptotic perturbationmethod based on temporal rescaling and balancing of the harmonic termswith a simple iteration is used in order to determine the nonlinearmodulation equations for the amplitude and the phase of the oscillation.External force-response curves are shown and moreover jump phenomena arealso observed. In certain cases a second low frequency appears inaddition to the forcing frequency and then stable two-periodquasi-periodic motions are present with amplitudes depending on theinitial conditions. The value of the low frequency depends on theamplitude of the external excitation. A higher order perturbationanalysis is developed and the validity of the method is highlighted bycomparing the leading order and the higher order approximate analyticsolutions to numerical results. 相似文献
997.
A class of recently developed explicit algebraic stress models based on tensorially quadratic stress--strain relations [7] is subjected to a systematical realizability analysis. It is found that these models, which are of particular interest for their rigorous derivation from linear second-moment closure models, tend to produce inappropriate unrealizable results like negative turbulence energy components, even in simple shear flows. The cause of the defect is identified in conjunction with a set of realizability-furnishing constraints on the model coefficients. With the exception of the silent normal stress component in accelerated flow, the nature and rationale of the explicit algebraic stress model suggested by Gatski and Speziale [7] can be extended to maintain the realizability principle. Results obtained from the corresponding quasi-realizable quadratic eddy-viscosity model are reported in comparison with other nonlinear modelling practices. 相似文献
998.
中心有刚体质量的环形薄板的非线性强迫振动 总被引:2,自引:0,他引:2
本文研究中心带有刚体质量外部固定铰支或活动铰支的环形薄板的非线性强迫振动。考虑板的弯曲变形、面内位移和几何非线性,用哈米尔顿原理建立板的运动方程,用Kantorovich平均法消去时间变量,然后用数值积分求得非线性振动的振幅随激振力的大小及激振力的频率而变化的关系。求解过程中用打靶法逐步改进未知参量,以保证边界条件的满足。最后讨论薄膜力、激振力的分布、板的内外半径比等因素对响应的影响 相似文献
999.
A finite difference method is developed for the numerical modelling of the 2-D and 3-D unsteady potential flow generated by
transient disturbances on the free surface, on which the nonlinear boundary conditions are fully satisfied. The unknown function
is computed with an iteration scheme processing in a transformed time-invariant space. After the velocity is calculated, the
location of the free surface is renewed and so is the value of velocity on it. The boundary-value problem of the governing
equation is then solved at the next time step. The present method incorporates the FFT. Consequently, a tri-diagonal equation
system is obtained which could be readily solved. The feasibility of this method has been demonstrated by 2-D and 3-D examples
corresponding to different initial disturbances.
This work is supported by the science foundation of Academia Sinica.
The paper had been accepted by the XVIth International Congress of IUTAM, Lyngby, Denmark, August, 1984. 相似文献
1000.
R. Rodríguez-Ramos B. E. Pobedria P. Padilla J. Bravo-Castillero R. Guinovart-Díaz G. A. Maugin 《Archive of Applied Mechanics (Ingenieur Archiv)》2004,74(3-4):191-200
Summary In the present paper, we consider the behavior of nonlinear piezoelectric materials by generalization for this case of the Hashin-Shtrikman variational principles. The new general formulation used here differs from others, because, it gives the possibility to evaluate the upper and lower Hashin-Shtrikman bounds for specific physical nonlinearities of piezoelectric materials. Geometrical nonlinearities are not considered.This work was sponsored by PAPIIT, DGAPA-UNAM IN103301. PNCB IBMFQ 09-2004 and, completed while one of the authors (RRR) was visiting the Laboratoire de Modélisation en Mécanique from Université Pierre et Marie Curie, Paris, while another one (G.A.M) benefited from the Max-Plank Award for International Cooperation (2002–2005). 相似文献