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Application of canonical coordinates for solving single-freedom constraint mechanical systems被引量：1
《Applied Mathematics and Mechanics(English Edition)》2014年第8期1029-1038,共10页高芳 张晓波 傅景礼 
Project supported by the National Natural Science Foundation of China(Nos.11072218 and 11272287);the Program for Changjiang Scholars and Innovative Research Team in University(PCSIRT)(No.IRT13097)
This paper introduces the canonical coordinates method to obtain the first integral of a single-degree freedom constraint mechanical system that contains conserva-tive and non-conservative constraint homonomic systems...
关键词：canonical coordinates first integral Lie symmetry constraint mechanical system 
Phase-plane analysis of conserved higher-order traffic flow model
《Applied Mathematics and Mechanics(English Edition)》2012年第12期1505-1512,共8页吴春秀 宋涛 张鹏 S.C.WONG 
Project supported by the National Natural Science Foundation of China(No.11072141);the Shanghai Program for Innovative Research Team in Universities,the Graduate Innovation Foundation of Shanghai University(No.SHUCX101078);and the University Research Committee,HKU SPACE Research Fund and Faculty of Engineering Top-up Grant of the University of Hong Kong(No.201007176059)
The phase-plane analysis is used to study the traveling wave solution of a recently proposed higher-order traffic flow model under the Lagrange coordinate system. The analysis identifies the types and stabilities of t...
关键词：traffic flow Lagrange coordinates phase-plane analysis traffic congestionpattern 
Fully discrete Jacobi-spherical harmonic spectral method for Navier-Stokes equations
《Applied Mathematics and Mechanics(English Edition)》2008年第4期453-476,共24页黄伟 郭本瑜 
Project supported by the National Natural Science Foundation of China(No.10771142);Science and Technology Commission of Shanghai Municipality(No.75105118);Shanghai Leading Academic Discipline Projects(Nos.T0401 and J50101);Fund for E-institutes of Universities in Shanghai(No.E03004);and Innovative Foundation of Shanghai University(No.A.10-0101-07-408)
A fully discrete Jacobi-spherical harmonic spectral method is provided for the Navier-Stokes equations in a ball. Its stability and convergence are proved. Numerical results show efficiency of this approach. The propo...
关键词：fully discrete Jacobi-spherical harmonic spectral method Navier-Stokes equations in a ball mixed coordinates 
THE THREE-DIMENSIONAL FUNDAMENTAL SOLUTION TO STOKES FLOW IN THE OBLATE SPHEROIDAL COORDINATES WITH APPLICATIONS TO MULTIPLES SPHEROID PROBLEMS
《Applied Mathematics and Mechanics(English Edition)》2002年第5期514-534,共21页庄宏 严宗毅 吴望一 
theNationalNaturalScienceFoundationofChina ( 860 3 0 0 2 8;3 8970 2 44)
A new three-dimensional fundamental solution to the Stokes flow was proposed by transforming the solid harmonic functions in Lamb's solution into expressions in terms Of the oblate spheroidal coordinates. These fundam...
关键词：Stokes flow fundamental solution THREE-DIMENSION oblate spheroid multipole collocation least squares method low Reynolds number multiple particles 
AN ANALYTIC AND APPLICATION TO STATE SPACE RECONSTRUCTION ABOUT CHAOTIC TIME SERIES
《Applied Mathematics and Mechanics(English Edition)》2000年第11期1237-1245,共9页马军海 陈予恕 
the National Natural Science Foundation of China(19990510)
The state space, reconstruction is the major important quantitative index for describing non-linear chaotic time series. Based on the work of many scholars, such as: AT. H. Packard, F. Takens, M. Casdagli, J. F. Gibso...
关键词：chaotic time series state space reconstruction Legendre coordinates? 
DYNAMICAL EQUATIONS FOR POLAR CONTINUA IN ORTHOGONAL CURVILINEAR COORDINATES
《Applied Mathematics and Mechanics(English Edition)》1999年第5期3-6,共4页戴天民 宋彦琦 
In this paper the concrete forms o f dyn amical equations for finite deformable polar elastic media of Boussinesq type, K irchhoff type, Signorini type and Novozhilov type with the help of the anholono mic physical f...
关键词：polar continua dynamical equations anholonomic physical frame 
COORDINATES OF PRINCIPAL STRESSES FOR ELASTIC PLANE PROBLEM
《Applied Mathematics and Mechanics(English Edition)》1997年第2期157-162,共6页黄民丰 
In this paper, the equilibrium equations on orthogonal curve coordinates made of curves of principal stresses are disscused and their properties in process of solution are presented through a simple example. Therefore...
关键词：ELASTICITY equilibrium equation principal stress plane problem orthogonal curve coordinates 
THE EQUATIONS OF COMPLETE DEPTH-AVERAGED TURBULENCE MODEL IN GENERAL ORTHOGONAL COORDINATES
《Applied Mathematics and Mechanics(English Edition)》1996年第1期53-63,共11页丁剡 周雪漪 余常昭 梁栋 
For shallow water flow, the depth-averaged governing equations are derived by depth-averaging of the mean equations for three-dimensional turbulent flows. The influences of free water surface and of topography of rive...
关键词：turbulent flow mathematical model depth-average general orthogonal coordinates 
APPROXIMATION　THEORY　OF　THREE　DIMENSIONAL　ELASTIC　PLATES　AND　ITS　BOUNDARY　CONDITIONS　WITHOUT　USING　KIRCHHOFF－LOVE　ASSUMPTIONS
《Applied Mathematics and Mechanics(English Edition)》1995年第3期203-224,共16页钱伟长 
The classical small deflection theory of elastic plates id based on the Kirchhoff-Lore assumptions￣[1,2].Ther are used on the basis of the thinness of plate and the smallness of deflection.In terms of Cartesian tens...
关键词：three dimensional elastic plates. Kirchhoff-Love assumptions.Cartesian TENSOR COORDINATES 
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