共查询到19条相似文献,搜索用时 390 毫秒
1.
THE PROBLEMS OF THE NONLINEAR UNSYMMETRICAL BENDING FOR CYLINDRICALLY ORTHOTROPIC CIRCULA RPLATE(I) 总被引:1,自引:1,他引:0
THEPROBLEMSOFTHENONLINEARUNSYMMETRICALBENDINGFORCYLINDRICALLYORTHOTROPICCIRCULARPLATE(I)QinSheng-Ii(秦圣立)HuangJia-yin(黄家寅)(Quf... 相似文献
2.
STUDIES OF MELNIKOV METHOD AND TRANSVERSAL HOMOCLINIC ORBITS IN THE CIRCULAR PLANAR RESTRICTED THREE-BODY PROBLEM 总被引:1,自引:0,他引:1
STUDIES OF MELNIKOV METHOD AND TRANSVERSAL HOMOCLINIC ORBITS IN THE CIRCULAR PLANAR RESTRICTED THREE-BODY PROBLEMZhuRuzeng(朱如... 相似文献
3.
LARGEDEFLECTIONPROBLEMOFTHINORTHOTROPICCIRCULARPLATEONELASTICFOUNDATIONWITHVARIABLETHICKNESSUNDERUNIFORMPRESSURE(王嘉新)(刘杰)LARG... 相似文献
4.
ONTHEBOUNDEDNESSANDTHESTABILITYRESULTSFORTHESOLUTIONOFCERTAINFOURTHORDERDIFFERENTIALEQUATIONSVIATHEINTRINSICMETHODCemilTUNC;A... 相似文献
5.
THEANALYTICALSTUDYONTHELASERINDUCEDREVERSE-PLUGGINGEFFECTBYUSINGTHECLASSICALELASTICPLATETHEORY(II)──REVERSE-BULGEMOTION¥(周益春,... 相似文献
6.
(黄家寅)(秦圣立)THEPROBLEMSOFNONLINEARBENDINGFORORTHOTROPICRECTANGULARPLATEWITHFOURCLAMPEDEDGES¥HuangJiayin;QinShengli(QufuNormalUn... 相似文献
7.
周哲玮 《应用数学和力学(英文版)》1994,15(10):923-928
THEAPPLICATIONOFMULTI-SCALEPERTURBATIONMETHODTOTHESTABILITYANALYSISOFPLANECOUETTEFLOWZhouZhe-wei(周哲玮)(ShanghaiUniversily;Shag... 相似文献
8.
沈孝明 《应用数学和力学(英文版)》1994,15(6):561-569
MIXEDCOMPATIBLEELEMENTANDMIXEDHYBRIDINCOMPATIBLEELEMENTVARIATIONALMETHODSINDYNAMICSOFVISCOUSBAROTROPICFLUIDSShenXiao-ming(沈孝明... 相似文献
9.
THECALCULATIONOFTHEMULTIPLY-CONNECTEDELASTICPLANEPROBLEMSBYMEANSOFSTRESSFUNCTIONSOFMULTIPLECOMPLEXVARIABLESwangLindiang(王林江)L... 相似文献
10.
THEANALYTICALSTUDYONTHELASERINDUCEDREVERSE-PLUGGINGEFFECTBYUSINGTHECLASSICALELASTICPLATETHEORY(Ⅰ)-TEMPERATUREFIELDSZhouYichun... 相似文献
11.
Li Wen-shen 《应用数学和力学(英文版)》1994,15(5):491-498
The generalized KdV equationu
1+auua+μua3+eua5=0[1] is a typical integrable equation. It is derived studying the dissemination of magnet sound wave in cold plasma[2], the isolated wave in transmission line[3], and the isolated wave in the boundary surface of the divided layer fluid[4]. For the characteristic problem of the generalized KdV equation, this paper, based on the Riemann function, designs a suitable
structure, then changes the characteristic problem to an equivalent integral and differential equation whose corresponding
fixed point, the above integral differential equation has a unique regular solution, so the characteristic problem of the
generalized KdV equation has a unique solution. The iteration solution derived from the integral differential equation sequence
is uniformly convegent in
. 相似文献
12.
黄家寅 《应用数学和力学(英文版)》2004,25(7):817-826
By using “the method of modified two-variable”,“the method of mixing perturbation ”and introducing four small parameters, the problem of the nonlinear unsymmetrical bending for orthotropic rectangular thin plate with linear variable thickness is studied. And the uniformly valid asymptotic solution of Nth- order for ε1 and Mth- order for ε2 of the deflection functions and stress function are obtained. 相似文献
13.
A. Nakkasyan 《Theoretical and Computational Fluid Dynamics》2003,16(5):319-348
One-point time-averaged velocity correlations and joint probability density functions (p.d.f.s) are analyzed with a multi-step
method for steady three-dimensional turbulent boundary layers (3DTBLs). The data are derived from a time series of velocity
fluctuations measured along the measurement axes (
1,
2,
3). The method includes a Monte Carlo (MC) technique in which, firstly, the 3×3 Reynolds stress tensors are diagonalized locally
in order to obtain the experimental eigenvalues or principal values and the experimental eigenvectors or principal axes (
1,
2,
3). Secondly, trial independent p.d.f.s are MC-generated along these are projected from system into and the built-in hypotheses are tested for validity, using stringent self-consistency tests. All p.d.f. investigations are
made with “perturbed centered-Gaussians” hypotheses, in which the “centered-Gaussians” are experimentally defined and the
“perturbations” are trial drift velocities. Our MC-analysis method [1-3] is applied to the first [4] and second [5] generation “S-duct” experiments
performed at the école Polytechnique Fédérale de Lausanne (EPFL). Additionally, two complementary algebraic self-consistency
tests are developed for the double and the triple correlations separately. New results in the p.d.f. properties of 3DTBLs
are presented, using Kinetic Theory as background.
Received 6 November 2001 and accepted 27 August 2002 Published online 28 February 2003
Communicated by J.R. Blake 相似文献
14.
Karl Heinz Kienitz 《Nonlinear dynamics》2006,45(1-2):25-30
In many practical systems, limit cycles can be predicted with suitable precision by frequency domain methods using describing
functions. Within such an approach, limit cycles can be predicted using the “eigenvalue method” [Somieski, G., Nonlinear Dynamics 26(1), 2001, 3–22]. This contribution presents a novel and advantageous implementation of this method, using singular value
instead of eigenvalue calculations, and enhancing computational efficiency by avoiding a so called “frequency iteration”.
An erratum to this article is available at . 相似文献
15.
H. Beirão da Veiga 《Journal of Mathematical Fluid Mechanics》2007,9(4):506-516
In reference [7] it is proved that the solution of the evolution Navier–Stokes equations in the whole of R
3 must be smooth if the direction of the vorticity is Lipschitz continuous with respect to the space variables. In reference
[5] the authors improve the above result by showing that Lipschitz continuity may be replaced by 1/2-H?lder continuity. A
central point in the proofs is to estimate the integral of the term (ω · ∇)u · ω, where u is the velocity and ω = ∇ × u is the vorticity. In reference [4] we extend the main estimates on the above integral term to solutions under the slip boundary
condition in the half-space R
+3. This allows an immediate extension to this problem of the 1/2-H?lder sufficient condition.
The aim of these notes is to show that under the non-slip boundary condition the above integral term may be estimated as well
in a similar, even simpler, way. Nevertheless, without further hypotheses, we are not able now to extend to the non slip (or
adherence) boundary condition the 1/2-H?lder sufficient condition. This is not due to the “nonlinear" term (ω · ∇)u · ω but to a boundary integral which is due to the combination of viscosity and adherence to the boundary. On the other hand,
by appealing to the properties of Green functions, we are able to consider here a regular, arbitrary open set Ω.
相似文献
16.
I.IntroductionThemethodofseparationofvariablesisimportanttosolvethesoluti0n0fprobIem0fmathematicalphysics,butmanyproblen1sofmathematicalphysicscannotseparatet'ariab1es,thereforeitrestrictstheranget0appIicatemethodofseparationofvariable.Inthepaperlll,Zhong… 相似文献
17.
In this paper, the perturbation solution of large deflection problem of clamped elliptical plate subjected to uniform pressure is given on the basis of the perturbation solution of large deflection problem of similar clamped circular plate (1948), (1954). The analytical solution of this problem was obtained in 1957. However, due to social difficulties, these results have never been published. Nash and Cooley (1959) published a brief note of similar nature, in which only the case λ=a/b=2 is given. In this paper, the analytical solution is given in detail up to the 2nd approximation. The numerical solutions are given for various Poisson ratios v=0.25, 0.30, 0.35 and for various eccentricities λ=1, 2, 3, 4, 5, which can be used in the calculation of engineering designs. 相似文献
18.
Nonlinear MHD Kelvin-Helmholtz (K-H) instability in a pipe is treated with the derivative expansion method in the present
paper. The linear stability problem was discussed in the past by Chandrasekhar (1961)[1] and Xu et al. (1981).[6]Nagano (1979)[3] discussed the nonlinear MHD K-H instability with infinite depth. He used the singular perturbation method and extrapolated
the obtained second order modifier of amplitude vs. frequency to seek the nonlinear effect on the instability growth rate
γ. However, in our view, such an extrapolation is inappropriate. Because when the instability sets in, the growth rates of
higher order terms on the right hand side of equations will exceed the corresponding secular producing terms, so the expansion
will still become meaningless even if the secular producing terms are eliminated. Mathematically speaking, it's impossible
to derive formula (39) when γ
0
2
is negative in Nagano's paper.[3]Moreover, even as early as γ
0
2
→ O+, the expansion becomes invalid because the 2nd order modifier γ2 (in his formula (56)) tends to infinity. This weakness is removed in this paper, and the result is extended to the case of
a pipe with finite depth.
Theproject is supported by the National Natural Science Foundation of China. 相似文献
19.
谷安海 《应用数学和力学(英文版)》1987,8(10):991-1002
This paper is neither laudatory nor derogatory but it simply contrasts with what might be called elastostatic (or static topology),
a proposition of the famous six equations. The extension strains and the shearing strains
which were derived by A.L. Cauchy, are linearly expressed in terms of nine partial derivatives of the displacement function
(u
i
,u
j
,u
h
)=u(x
i
,x
j
,x
k
) and it is impossible for the inverse proposition to sep up a system of the above six equations in expressing the nine components
of matrix (∂(u
i
,u
j
,u
h
)/∂(x
i
,x
j
,x
k
)). This is due to the fact that our geometrical representations of deformation at a given point are as yet incomplete[1]. On the other hand, in more geometrical language this theorem is not true to any triangle, except orthogonal, for “squared
length” in space[2].
The purpose of this paper is to describe some mathematic laws of algebraic elastodynamics and the relationships between the
above-mentioned important questions. 相似文献