Applied Mathematics and Mechanics (English Edition)

SIMULATION OF TYPHOON’S ANOMALOUS TRACK (Ⅰ)──RANKINE VORTEX MODEL

Lin Mian;Li Jiachun;Li Li

1998, 19(3): 207-211.

Abstract ( 551 )

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This paper proposes a method for simualting symmetric and simulating symmetric and asymmetric typhoonby using Rankine vortex model. Considering similarity between tropical cyclone andthe Rankine vortex,the paper has qualitatively discussed the feasibility of the methods In order to decide quantitatively Rankine vortex’s parameters to simulate typhoon’s structure, the paper has dealt with TCM data.for Yancy Typhoon (9012) as initial fields.. These results are considered as a foundation for further studying typhoon motion by CD approach.

TAYLOR POLYNOMIAL STEPWISE REFINEMENT ALGORITHM FOR LIE AND HIGH SYMMETRIES OF PARTIAL DIFFERENTIAL EQUATIONS

Zhang Hongqing;Chao Lu;Tang Limin

1998, 19(3): 213-220.

Abstract ( 533 )

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A theoretical analysis presented for the snap-buckling behavior of dished shallow shells under axisymmetric distributed line loads.The second approximateformula of elastic behavior of dished shallow shells with varions. boundary conditions are given. and effects of geometrical parameter γ,β and K on non-linear behavior ave discussed.

IDENTIFICATION OF QUASI-STATIC DISPLACEMENT FOR CONSTITUTIVE MODELS OF VISCOELASTICITY

Yang Haitian;Wu Ruifeng;Zhang Qun

1998, 19(3): 237-242.

Abstract ( 557 )

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An explicit relation between constitutive porameters and quasi-static displacementof viscoelasticity is derived under a kind of boundary condition,and an iterative form of optimixed idenification is presented.Viscoelastic constitutive models are identifiedfrom a two order differential model,and effects of information errors on results of inverse analysis are discussed.

SPHERICAL WAVE PROPAGATION IN SATURATED SOILS

Xu Changjie;Wu Shiming

1998, 19(3): 243-252.

Abstract ( 633 )

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Based on the generally adopted soil model for engineering, an analytic solution ofspherical wave propagation problem in a special case for an equally pressurizedspherical cavity in saturated space by Laplace transformation which is comparation which is compared withthat of the same problem in a one-phase elastic elastic space. The influence fo fluid on dynamic response of saturated soil is examined.The authors propose an effectivefor dynamic analysis of underground structure.

PANDERIVATIVE BLOWN-UP OF GROUND TEMPERATURE AND PREDICTING EARTHQUAKE

Li Chao;Ouyang Shoucheng;Tang Maocang

1998, 19(3): 253-262.

Abstract ( 448 )

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According to the blown-up theory (deseribed in references [1, 2]) for nonlineardynamic system on the relationship of general pansystem transformation,optimsationand panderivative blown-up,, by means of blown-up theory we demonstrate that theblolwn-up of nonlinear heat conductive equation is similar to the evolution ofobservational ground temperature temperature flow in this paper. And a successful simulation of Tang Shan Earthquake in 1976 has been given. The result of simulation indicates thatthe blown-up of ground temperature flow around earthquake can be applied to prediclearthquake. As for Tang Shan Earthquake, the predicting time is about five months.If ground temperature flow that embodies the earth’s crust satisfies theunintegral panderivative equation, we can demonstrate its mechanism and forecast earthquake with enough information.

THE FRACTAL STRUCTURE OF ATTRACTOR FOR THE GENERALIZED KURAMOTO-SIVASHINSKY EQUATIONS

Dai Zhengde;Guo Boling;Lin Guoguang

1998, 19(3): 263-277.

Abstract ( 528 )

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In this paper, the generalized Kuramoto-Sivashinsky equations (GKS)withperiodic initial boundary value problem are considered and the construction of inertialsets in space H₂ is given. Furthermore this paper gives and find out an exponentially approximating of attractors for GKS equations and find out an exponentially approximatingsequence of compact fractal localizing sets of the attractors, these results sharpen and improve the conclusions of the conclusions of the inertial sets and attractor.for GKS equation in [l, 3, 5,7]. which describe a kind of geometrical structure of the attractors.

PROPERTY DEGRADATION OF ANISOTROPIC COMPOSITE LAMINATES WITH MATRIX CRACKING (I)-CONSTITUTIVE RELATION DEVELOPING FOR (θ_m/90_n) CRACKED LAMINATES BY STIFFNESS PARTITION

Hua Yu;Wang Xingguo;Li Zhengneng

1998, 19(3): 279-287.

Abstract ( 602 )

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The study on property degradation of damaged composite laminates is extendedto anisotropic laminates with matrix cracking. In (I) of the paper, an idea of "stiffnesspatition" is proposed to deal with the puzzle that the in-plane normal response iscoupled with the shear response of the laminates. For (θ_m/90_n.), laminates containingtransversely cracked layers under general in-plane loading, the constitutive relationsare derived and the effective stiffnesses are expressed as the function of crack density.

M-P INVERSE TOPOLOGICAL VARIATION METHOD OF FINITE ELEMENT STRUCTURES

Chen Suhuan;Liang Ping;Han Wanzhi

1998, 19(3): 289-301.

Abstract ( 475 )

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Using Moors-Penrose inverse theory, a set of formulations for calculation thestatic responses of a changed finite element structure are give in this paper. Usingthese formulations in structural analysis may eliminate the need of assembling thestiffness matrix and solving a set of simultaneous equations.

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