Applied Mathematics and Mechanics (English Edition)

ON THE DECOMPOSITION OF COMPLEX VECTOR SPACESAND THE JORD AN CANONICAL FORM OFCOMPLEX LINEAR TRANSFORMATIONS

肖衡;郭仲衡

1994, 15(11): 997-1003.

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New objects characterizing the structure of complex linear transformations areintroduced. These new objects yield a new result for the decomposition of complexvector spaces relative to complex lrnear transformations and provide all Jordan basesby which the Jordan canonical form is constructed. Accordingly, they can result in thecelebrated Jordan theorem and the third decomposition theorem of space directly. and,moreover, they can give a new deep insight into the exquisite and subtle structure ofthe Jordan form. The latter indicates that the Jordan canonical form of a complexlinear transformation is an invariant structure associated with double arbitrary. choices.

THE ASYMPTOTIC SOLVING EQUATIONS OF THICK RING SHELLAND ITS SOLUTION UNDER MOMENT M₀

赵兴华

1994, 15(11): 1005-1016.

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In this paper.from the.fundamental equations of three dimensional elasticmechanics, we have found a sequence of asymptotic solving equations of thick ringshell (or body) applied arbitrary loade by the perturbation method based upon ageometric small parameter a=r₀/R₀, which may be divided into two independentequation groups which are similar to the equation groups for plane strain and torsionalproblems. Using these equations, we have also found first order and second orderapproxiniate solutions of thick ring shell applied moment M₀.

APPLICATION OF THE PROBABILISTIC FRACTURE MECHANICS METHODOF PREDICTING THE FATIGUE LIFE OF TUBULAR JOINTS

聂国华;翁智远;刘人怀

1994, 15(11): 1017-1023.

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In this paper.fatigue strength of T-type tubularjoints subjected to in-planebending or out-of-plane bending load is investigated By, considering material constantsand initial crack sizes as random variables and applying Monte Carlo simulation method, we have giyen a statistical analvsis on fatigue life. Simultaneously, linearregression analyses of computed resuldts are performed and compared with that of theknown experimental data.

A PRIORI ESTIMATES TO THE MAXIMUM MODULUS OF GENERALIZEDSOLUTIONS OF A CLASS OF QUASILINEAR ELLIPTIC EQUATIONSWITH ANISOTROPIC GROWTH CONDITIONS

梁廷;王向东

1994, 15(11): 1025-1034.

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In this paper we give a priori estimates for the maximum modulus of generalizedsolulions of the quasilinear elliplic equations irith anisotropic growth condition.

THE BOUNDED EXTERMINATION AND STABILITY OF MUTUALINTERFERENCE SYSTEM OF FOUR-DIMENSIONAL SPECIES

侯赣生

1994, 15(11): 1035-1045.

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This paper considers a typical mutual interference system of four-dimensionalspecies, its bounded, extermination stability are studied, and their necessary-sufficientcondition are given, and their ecology meaning set forth.

THE EXAMINATION OF TURBULENCE MODELING WITH LES DATABASE

苏铭德

1994, 15(11): 1047-1053.

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In this paper the database obtained from LES is used to examine the algebraicturbulence model in Demuren and Rodi’s work. The results show that the prediction ofnormal Reynolas stresses and turbulence energy by means of turbulence modeling isbetter than that of shear Reynolde stresses. The comparison shows the LES methodcan be used to examine turbulence modelling.

A UNIFORMLY VALID ASYMPTOTIC SOLUTION OF THE NAVIER-STOKES EQUATIONS

秦圣立;张爱淑

1994, 15(11): 1055-1067.

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In this paper, problems of the flow over a fat plate in the large Reynolds numbercase are studied by using the method of multiple scales[1,2].We have obtained N-orderuniformly valid asymptotic solutions of the Naver-Stodes equations.

ITERATIVE ALGORITHMS FOR FINDING APPROXIMATE SOLUTIONSOF COMPLETELY GENERALIZED STRONGLY NONLINEARQUASIVARIATIONAL INEQUALITIES

曾六川

1994, 15(11): 1069-1080.

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In this paper, we study, iterative algorithms.for finding approximate solutions ofcompletely generalized strongly nonlinear quasivariational inequalities which include,as a special case, some known results in this.field. Our results are the extension andimprovents of the results of Siddiqi and Ansari, Ding. and Zeng.

A NEW PANSYSTEMS RESEARCH ABOUT BINARY RELATION’S TRANSITIVITY

吴守志

1994, 15(11): 1081-1085.

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Because of. the great needs both for the research of pansystem mathematics andfor the analysis of general things’ mechanism, this paper discusses the binary relation,stransitivity confined to multirelation. The so-called g-transitvity- a completelynew concept about transitivity- is introduced and its basic properties are investigated.The study shows that it is not only g-transitivity a generalization of traditionaltransitivity, quasi-transitivity, seml-order, quasi-order and other panorder, but alsoincludes many important concepts such as closeness, convexity, topology, duality as itsspecial cases.

THE DIFFERENTIAL SOLUTION TO THE FLYING LOCUS EQUATION OF THE SHOT AND ITS APPLICATION

刘小湘

1994, 15(11): 1087-1091.

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This paper establishes a locus equation of the shot according to kinematicalprinciples. By using differential and integral calculus and trigonometric function, wehave found the extreme valve of the angles of delivery and the best flying distances,with the falling poinis of shot considered. Thus a simple expression showing therelationships among the best angle delivery, the best.flying distance, the height ofdelivery point and its initial velocity. can be attained and a diagram can be made bycalculating, showing the best angle of delivery. and the best flying distance.

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