Table of Content

18 November 1998, Volume 19 Issue 11

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Articles

A, φ-Ω METHOD FOR 3-D EDDY CURRENT ANALYSIS

Shi Zhanwei;Zhao Xinghua

1998, 19(11):  1017-1023. 

Abstract ( 563 )   PDF (389KB) ( 258 )  

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After the field equations and the snonumuoo conditions between the interfaces for 3D eddy current problems Under various gauges were discussed, it was pointed cut in this paper that using the magnetic vector potential A. the electric scalar potential φ and Coulomb gauge ∇·A = 0 in eddy current regions and using the magntetic scalar potential Ω in the non-conducting regions are more suitable. All field equations, the boundary conditions, the interface continuity conditions and the corresponding variational principle of this method are also given.

MASS TRANSPORT IN SOLID TUMORS (Ⅰ)──FLUID DYNAMICS

Lei Xiaoxiao;Wu Wangyi;Wen Gongbi;Chen Jiaoguo

1998, 19(11):  1025-1032. 

Abstract ( 541 )   PDF (493KB) ( 300 )  

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A three-porous-medium model for transvascular exchange and extravascular transport of fluid and macromolecules in a spherical solid tumor is developed. The microvasculature, lymphatics, and tissue space are each treated as a porous medium with the flow of blood. lymph, and interstitial fluid obeying Darcy’s law and Starling’s assumption. In this part, the role of interstitial pressure and fluid convection are studited. The analytical soiutions are obtained for foe isolated tumor and the normal-tissue-surrounded tumor respectively. The calculated interstitial pressure profue are consistent with the experimental observation that the elevated interstitial pressure is a major barrier in the penetration of macromolecular drug into tumors. The factors which may reduce the interstitial pressure are analyzed in details.

THE INFLUENCE OF THE DIFFERENT DISTRIBUTED PHASE-RANDOMIZED ON THE EXPERIMENTAL DATA OBTAINEd IN DYNAMIC ANALYSIS

Ma Junhai;Chen Yushu;Liu Zengrong

1998, 19(11):  1033-1042. 

Abstract ( 557 )   PDF (677KB) ( 330 )  

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In this paper the influence of the differently distributed phase-randontized to the data obtained in dynamic analysis for critical value is studied.The calculation results validate that the sufficient phase-randomized of the different distributed random numbers are less influential on the critical value . This offers the theoretical foundation of the feasibility and practicality of the phase-randomized method.

THE FUNDAMENTAL SOLUTIONS FOR THE PLANE PROBLEM IN PIEZOELECTRIC MEDIA WITH AN ELLIPTIC HOLE OR A CRACK

Gao Cunfa;Fan Weixun

1998, 19(11):  1043-1052. 

Abstract ( 631 )   PDF (513KB) ( 386 )  

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Based on the complex potential method, the Greed’s functions of the plane problem in transversely isotropic piezoelectric media with an elliptic hole are obtained in terms of exact electric boundary conditions at the rim of the hole. When foe elliptic hole degenerates into a crack, the fundamental solutions for the field intensity factors arc given. The general solutions for concentrated and distributed loads applied on the surface of the hole or crack are produced through the superposition of fundamental solutions With the aid of these solutions , some erroneous results provided previously in other works are pointed out More important is that these solutions can be used as the fundamental solutions of boundary element method to solve more practical problems in piezoelectric media.

WAVELET BASIS ANALYSIS IN PERTURBED PERIODIC KdV EQUATION

Lu Dianchen;Tian Lixin;Liu Zengrong

1998, 19(11):  1053-1058. 

Abstract ( 513 )   PDF (337KB) ( 323 )  

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In the paper by using the spline wavelet basis to constructr the approximate inertial manifold, we study the longtime behavior of perturbed perodic KdV equation.

NUMERICAL STUDY OF A NONLINEAR INTEGRODIFFERENTIAL EQUATION

Zhu Yong

1998, 19(11):  1059-1063. 

Abstract ( 593 )   PDF (471KB) ( 217 )  

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In this Paper. by using the pseudo-spectral method of Fornberg and Whitham, a nonlinear integrodifferential equations is investigated numerically. It is found that for small ε, the result is close to that of the KdV equation, whereas the effects of larger ε and the initial condition are significant.

RESEARCH ON SOLID-LIQUID COUPLING DYNAMICS OF PIPE CONVEYING FLUID

Wang Shizhong;Liu Yulan;Huang Wenhu

1998, 19(11):  1065-1071. 

Abstract ( 613 )   PDF (408KB) ( 1058 )  

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On the basis of Hamilton principle. the equation of sonlid-liquid coupling vibration of pipe conveying fluid is deduced. An asymmetrical sonlid-liquid coupling damp matrix and a symmetrical solid-liquid coupling Stiffness matrix are obtained. Using QR method , pipe’s nature frequencies are calculated. The curves of the first four orders of natural frequency-flow velocity of pipe waw given .The influence of flowing velocity ,pressure, solid-liquid coupling damp and solid-liquid coupling stiffness on natural frequency are discussed respectively.The dynamic respondence of the pipes for stepload with different flow velocity are calculated by Newmark method .It is found that,with the flow velocity increased, the nature frequency of the pipes reduced, increased,reduced again and so on.

DYNAMIC RESPONSE ANALYSIS OF PLATFORM-CYLINDER GROUP FOUNDATION DUE TO IMPACT BY WATER WAVE FLOW

Fang Yingguang

1998, 19(11):  1073-1082. 

Abstract ( 586 )   PDF (583KB) ( 346 )  

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This paper deals. with the problem of dynamic response of platform-cylinder group foumdation. Dynamic interaction of cylinder group foudation-water-soil is taken into account and the analysis of dynamic response to excitation of water wave force is given by analytic method ..The numerical examples are presented and the influence of systent’s parameters on the dynamic behaviour is discussed.

FUZZY APPROACHING SET AND FUZZY APPROACHING FUNCTIONAL MAPPING

Cao Chun

1998, 19(11):  1083-1093. 

Abstract ( 573 )   PDF (630KB) ( 352 )  

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By establishing the concepts of fuzzy approaching set and fuzzy approaching functional mapping and making research on them, a new method for time series prediction is introduced.

A NUMERICAL STUDY OF BINGHAM TURBULENT FLOW IN SUDDEN-EXPANSION STRAIGHT CIRCULAR PIPE

Hu Chunbo;Wei Jinjia;Jiang Peizheng;Miao Yongmiao

1998, 19(11):  1095-1101. 

Abstract ( 574 )   PDF (377KB) ( 850 )  

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The control equations for the turbulent flow of Bingham fluid are established according to Bingham fluid constitution equation. Pressure field and velocity field are correlted by pressure-correction equation. The numerical computations are performed on Bingham fluid turbulent flow in sudden-expansion straight circular pipe, and the flow mechanisms are discussed.

EXISTENCE OF SOLUTIONS TO DIFFERENTIAL INCLUSIONS IN BANACH SPACES

Song Fumin

1998, 19(11):  1103-1113. 

Abstract ( 645 )   PDF (533KB) ( 788 )  

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In this paper, the existence of solutions to differential inclusions is discussed in infinite dimensional Banach spaces, First, some comparability theorems for common differential inclusions are posed, relations between approximate solutions and solutions are studied. In the end, the existence theorem of solutions to differential inclusions is obtained.

A COMMENT ON THE PROOF OF FERMAT'S LAST THEOREM

Zhang Baoshan

1998, 19(11):  1115-1118. 

Abstract ( 568 )   PDF (272KB) ( 615 )  

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In this paper, some conmments on the proof of Fermat’s last theorem are proposed.The main resuilt is thai the proof proposed by Wong Chiahe is only part of proof for fermat’s last theorem. That is to sqy,the proof is not all-full proof to Fermat’s last theorem.