Applied Mathematics and Mechanics (English Edition)

GENERAL AXISYMMETRY PROBLEMS FOR SHELLS OF REVOLUTION AND ANALYSES OF INTEGRAL EQUATION

陈山林;刘东

1998, 19(6): 503-512.

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In this paper, a simplified eguation in complex form for axisywnretry elastic thin shells of revolution under arbitrary distributed loads is given. The equation is equivalent to the exact equations within the error range of the thin shell theory, with the singularities at the points of meridional extreme values eliminated. A Volterra integral equation of the problem and the numerical solutions are given.

THRESHOLD VALUE FOR DIAGNOSIS OF CHAOTIC NATURE OF THE DATA OBTAINED IN NONLINEAR DYNAMIC ANALYSIS

马军海;陈予恕;刘曾荣

1998, 19(6): 513-520.

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Ii this puper surrogate tlata melhod of phase-randomized is proposed to identify the random or chuotic naature of the data ohtained in dynamie anatysis. The cateulating results validale the phase-randomized method tc be useful as it ean increase the extentof accuraey of the results. And the calculating results show that threshold values of the random time series and nonlinear chuotic timeseries have marked differenee.

ALGORITHM OF SOLUTIONS FOR MIXEDNONLINEAR VARIATIONAL-LIKE INEQUALITIES IN REFLEXIVE BANACH SPACE

丁协平

1998, 19(6): 521-529.

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In this paper, the author studies a class of mixed nonlinear variational-likeinequalities in reflexive Banach space. By applying a minimax inequality obtuined bythe author, some existence uniqueness theorems of solutions for foe mixed nonlinearvariational-like inequalities are proved. Next, by applying the applying the auxiliary problemtechnique, the author suggests an innovative iterative algorithm to compute theapproximate solutions of the mixed nonlinear variational-like inequalities. Finally theconvergence criteria is also discussed.

SINGULAR PERTURBATION OF GENERAL BOUNDARY VALUE PROBLEM FOR NONLINEAR DIFFERENTIAL EQUATION SYSTEM

周雅丽;游哲丰;林宗池

1998, 19(6): 531-538.

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In this. paper, the singular perturbation of nonlinear differential equation systemwith nonlineur borndary conditions is discussed. Under suitable assunmptions, with the asymqtotic method of Lyusternik-Vishik[1] and fixed point theory, the existence of the solution of the perturbation problem is proved and its uniformly valid asymptoticexpansion of higher order is derived.

A THEORETICAL AND EXPERIMENTAL INVESTIGATION OF A PRIMARY RESONANCE OF A THREE CIRCULAR PLATES TORSION VIBRATION SYSTEM

杨志安;邱家俊;李骊

1998, 19(6): 539-546.

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The method of averaging is applied in this paper to deal with a primary resonanceof a three circular plates torsion vibration system having cubic. nonlinearities whieh isexcited by a simple-harmonic excitation. Bifureation equation of the steady stateresponse is obtained and its singularity, analysis is given. The results of theoreticalanalysis are shown to be in good agreement with experimental ones.

NEAR CRACK LINE ELASTIC-PLASTIC ANALYSIS FOR A FINITE PLATE LOADED BY TWO PAIRS OF ANTIPLANE POINT FORCES

王成;张录坤

1998, 19(6): 547-553.

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In this paper, the improved near crack line analysis method proposed in Refs. [1]and [2] is used to investigate a center crack loaded by two pairs of antiplane pointforces in a finite plate in an elastic-perfectly plastic solid. And the analytical solutionsare obtained, thai is elastic-plastic stress fields near the crack line and the taw that thelength of foe plastic zone along the crack line is varied with an external loads and thebearing capacity of a finite plate with a center crack. The results of this paper aresufficiently precise near the crack line because the assumptions of the Small scaleyielding theory have not been used and no other assumptions have been taken.

CONSTITUTIVE RELATION AND STIFFNESS DEGRADATION OF CRACKED ANISOTROPIC COMPOSITE LAMINATES(II)─DETERMINATION OF RESOLVED STIFFNESS AND INVESTIGATION OF STIFFNESS DEGRADATION

王兴国;华玉;郦正能

1998, 19(6): 555-561.

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The study on properly degradation of damaged,.onlj,osile laminates is extendedto anisotropic laminates with matrix cracking. In (II) of the paper, a solution forpartitioned stiffness is given to complete the constitutive relations developed in (I) Thestiffness degradation in (θ_m/90_n)_s cracked laminates is calculated and the results arediscussed.

ON THE STABILITY ESTIMATION OF ANALYTIC CONTINUATION FOR POTENTIAL FIELD

徐定华;程晋;李明忠

1998, 19(6): 563-572.

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This paper discusses the stability of solutions to a class of Cauchy problems forLap lace equations under two kinds of nonclassical circumstances. By means ofconformal mapping and Tikhonov. Luan bangui and Yamamoto’s methods.for solvingill-posed problems respectively, the stability estimations of weighted Holder type andlogarithmic type, have been obtained accordingly.

THE HOLDER CONTINUITY OF GENERALIZED SOLUTIONS OF A CLASS QUASILINEAR PARABOLIC EQUATIONS

王向东;梁(汲金)廷

1998, 19(6): 573-583.

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Let A cud B satisfy the Structural conditions (2), the local Hölder continuityinterior to Q=G×(0, T) is proved for the generalized solutions of quasilinearparabolic equations as follows: u₂-divA(x, t,u,∇u) + B(x, t, u, ∇u)=0

TORSION OF COMPOSITE LAMINATED BARS WITH A LARGE NUMBER OF LAYERS

张剑;李思简

1998, 19(6): 585-591.

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In view of the effective elastic moduli theory[1]. analyzing the thick compositelaminated bars subjected to an externully applied torque are prasented by threedimensional finite element (3-D FEM) and global-local method in this paper.Numerical results involving,he distribution of shearing stresses on cross-section andthe torsional deformation and the interlaminar sirens near to free edges are given. tfnecessary elemeats discretization mad be densely carried ont only in the high stressgradient. region. Obviously, it requires less computer memory and computational time sothat it offers an effective way for evaluating strength of laminated bars torsion with agreat number of layers.

APPLICATION OF WAVELET TRANSFORM TO BIFURCATION AND CHAOS STUDY

郑吉兵;高行山;郭银朝

1998, 19(6): 593-599.

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The response of a nonlinear vibration system may be of three types, namely,periodic, quasiperiodic or chaotic. when foe parameters of foe system are changed. The periodic motions can be identified by Poincarb map, and harmonic wavelet transform(HAT) can distinguish quasiperiod from chaos, so the existing domains of differenttypes of motions of the system can be revealed in the parametric space with themethod of HWT joining with Poincare map.

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