COMPUTATION OF SUPERSONIC TURBULENT FLOWFIELD WITH TRANSVERSE INJECTION

ＩｎｔｒｏｄｕｃｔｉｏｎＴｈｅｍｉｘｉｎｇｆｌｏｗｆｉｅｌｄｒｅｓｕｌｔｉｎｇｆｒｏｍａｓｏｎｉｃｇａｓｅｏｕｓｉｎｊｅｃｔｉｏｎｉｎｊｅｃｔｅｄｔｒａｎｓｖｅｒｓｅｌｙｉｎｔｏａｓｕｐｅｒｓｏｎｉｃｆｒｅｅｓｔｒｅａｍｉｓｅｎｃｏｕｎｔｅｒｅｄｉｎｍａｎｙｆｉｅｌｄｓｓｕｃｈａｓｒｏｃｋｅｔｍｏｔｏｒｔｈｒｕｓｔｖｅｃｔｏｒｃｏｎｔｒｏｌｓｙｓｔｅｍｓ,ｓｕｐｅｒｓｏｎｉｃｃｏｍｂｕｓｔｉｏｎ ,ｈｉｇｈ＿ｓｐｅｅｄｆｌｉｇｈｔｖｅｈｉｃｌｅｒｅａｃｔｉｏｎｃｏｎｔｒｏｌｊｅｔｓ,ａｎｄｇａｓ＿ｔ…     

ELECTROELASTIC FIELD FOR AN IMPERMEABLE ANTI-PLANE SHEAR CRACK IN A PIEZOELECTRIC CERAMICS PLATE

ＩｎｔｒｏｄｕｃｔｉｏｎＤｕｅｔｏｔｈｅｉｎｔｒｉｎｓｉｃｃｏｕｐｌｉｎｇｃｈａｒａｃｔｅｒｉｓｔｉｃｓｂｅｔｗｅｅｎｅｌｅｃｔｒｉｃａｎｄｅｌａｓｔｉｃｂｅｈａｖｉｏｒｓ,ｔｈａｔｉｓ,ａｐｐｌｉｅｄｍｅｃｈａｎｉｃａｌｌｏａｄｉｎｇｐｒｏｄｕｃｅｓｅｌａｓｔｉｃｄｅｆｏｒｍａｔｉｏｎ ,ａｓｗｅｌｌａｓｅｌｅｃｔｒｉｃｆｉｅｌｄ ,ａｎｄｃｏｎｖｅｒｓｅｌｙｅｌｅｃｔｒｉｃｆｉｅｌｄｃａｎｇｉｖｅｒｉｓｅｔｏｅｌａｓｔｉｃｄｅｆｏｒｍａｔｉｏｎ ,ｐｉｅｚｏｅｌｅｃｔｒｉｃｍａｔｅｒｉａｌｓｈａｖｅ…     

STATISTIC MODELING OF THE CREEP BEHAVIOR OF METAL MATRIX COMPOSITES BASED ON FINITE ELEMENT ANALYSIS

ＩｎｔｒｏｄｕｃｔｉｏｎＴｈｅｃｒｅｅｐｂｅｈａｖｉｏｒｏｆｓｈｏｒｔｆｉｂｅｒｒｅｉｎｆｏｒｃｅＭｅｔａｌＭａｔｒｉｘＣｏｍｐｏｓｉｔｅｓ (ＭＭＣｓ)ｄｅｐｅｎｄｓｏｎｔｈｅｆｏｌｌｏｗｉｎｇｆａｃｔｏｒｓ,ｓｕｃｈａｓｔｈｅｃｒｅｅｐｐｒｏｐｅｒｔｙｏｆｔｈｅｍａｔｒｉｘ ,ｅｌａｓｔｉｃａｎｄｆｒａｃｔｕｒｅｓｐｒｏｐｅｒｔｉｅｓｏｆｔｈｅｆｉｂｅｒ,ｇｅｏｍｅｔｒｉｃｐａｒａｍｅｔｅｒｓｏｆｔｈｅｆｉｂｅｒｓ,ａｒｒａｎｇｅｍｅｎｔｏｆｔｈｅｆｉｂｅｒｓａｎｄｔｈｅｐｒｏｐｅｒｔｙｏｆｔｈｅｆ…     

A NOTE ON BIFURCATIONS OF u″+μ(u-uk)=0(4≤k∈Z+)

Bifurcations of one kind of reaction-diffusion equations, u″+μ(u-u^k)=0(μ is a parameter,4≤k∈Z⁺), with boundary value condition u(0)=u(π)=0 are discussed. By means of singularity theory based on the method of Liapunov-Schmidt reduction, satisfactory results can be acquired.     

ON THE CRITICAL POINTS OF THE MAP Fp:X→‖AXB-C‖pp

Suppose A,B and C are the bounded linear operators on a Hilbert space H, when A has a generalized inverse A^- such that (AA^-)^*=AA^- and B has a generalized inverse B^- such that (B^-B)^*=B^-B,the general characteristic forms for the critical points of the map F_p:X^→‖AXB-C‖_p^p(1p=2. Similarly, the same question has been discussed for several operators.     

4th-order spline wavelets on a bounded interval

ＩｎｔｒｏｄｕｃｔｉｏｎＷａｖｅｌｅｔａｎａｌｙｓｉｓｈａｓｅｘｐｅｒｉｅｎｃｅｄａｎｅｎｏｒｍｏｕｓｄｅｖｅｌｏｐｍｅｎｔｉｎｒｅｃｅｎｔｙｅａｒｓ.Ｏｎｅｏｆｔｈｅｉｍｐｏｒｔａｎｔｆｉｅｌｄｓｉｓｔｈｅｎｕｍｅｒｉｃａｌａｎａｌｙｓｉｓｏｆｄｉｆｆｅｒｅｎｔｉａｌｅｑｕａｔｉｏｎｓ.Ｔｈｅａｄｖａｎｔａｇｅｏｆａｄｏｐｔｉｎｇｗａｖｅｌｅｔｓｈａｓｂｅｅｎｒｅｐｏｒｔｅｄ[1～ 4].Ｃｌａｓｓｉｃａｌａｐｐｒｏａｃｈｅｓｔｏｗａｖｅｌｅｔｃｏｎｓｔｒｕｃｔｉｏｎｄｅａｌｗｉｔｈｍｕｌｔｉｒｅｓｏ…     

The invariant manifold method and the controllability of nonlinear control system

The problem of controllability of nonlinear control system is a significant field which has an extensive prospect of application. A.M.Kovalev of Ukraine Academy of Science applied the oriented manifold method developed in dynamics of rigid body to nonlinear control system for the first time and obtained a series of efficient results. Based on Kovalev’s oriented manifold method, firstly, by invariant manifold method the problem of controllability of nonlinear control system was studied and the necessary condition of the controllability of a kind of affine nonlinear system was given out. Then the realization of the necessary condition was discussed. At last, the motion of a rigid body with two rotors was investigated and the necessary condition which is satisfied by this system was proved.     

Ion-pair high-performance liquid chromatographic separation of a multicomponent anticholinergic drug formulation

N,N'-Trimethylene-bis-(pyridinium-4-aldoxime)dibromide, 4-pyridine aldoxime, atropine sulfate, benactyzine hydrochloride, methyl paraben and propyl paraben are separated by ion-pair high-performance liquid chromatography. The method is specific for detecting and quantifying each compound in a complex mixture without solvent extraction or pretreatment. Levels as low as 1 ng on column are quantifiable by the procedure. All components are eluted within 9 min subsequent to the initial injection. Because of the simplicity of the method, the procedure is suitable for routinely monitoring the stability of the various compounds in the formulation during storage.     

NEW METHOD FOR LOW ORDER SPECTRAL MODEL AND ITS APPLICATION

In order to overcome the deficiency in classical method of low order spectral model, a new method for low order spectral model was advanced. Through calculating the multiple correlation coefficients between combinations of different functions and the recorded data under the least square criterion, the truncated functions which can mostly reflect the studied physical phenomenon were objectively distilled from these data. The new method overcomes the deficiency of artificially selecting the truncated functions in the classical low order spectral model. The new method being applied to study the inter-annual variation of summer atmospheric circulation over Northern Hemisphere, the truncated functions were obtained with the atmospheric circulation data of June 1994 and June 1998. The mechanisms for the two-summer atmospheric circulation variations over Northern Hemisphere were obtained with two-layer quasi-geostrophic baroclinic equation.     

THE TRANSIENT ELLIPTIC FLOW OF POWER-LAW FLUID IN FRACTAL POROUS MEDIA

1　ＴｈｅＦｌｏｗＭｏｄｅｌｏｆＰｏｗｅｒ＿ＬａｗＦｌｕｉｄｉｎＲａｄｉｃａｌＦｒａｃｔａｌＲｅｓｅｒｖｏｉｒＴｈｅｔｒａｎｓｉｅｎｔｆｌｏｗｏｆｐｏｗｅｒ＿ｌａｗｆｌｕｉｄｉｎｒａｄｉｃａｌｆｒａｃｔａｌｒｅｓｅｒｖｏｉｒｉｓｓｔｕｄｉｅｄｉｎＲｅｆ.[1 ] ,ａｎｄａｎａｌｙｔｉｃａｌｓｏｌｕｔｉｏｎｏｆＬａｐｌａｃｅｓｐａｃｅｉｓｄｅｒｉｖｅｄ .ＩｎＲｅｆ.[2 ] ,ｔｈｅｔｒａｎｓｉｅｎｔｅｌｌｉｐｔｉｃａｌｆｌｏｗｉｓｒｅｓｅａｒｃｈｅｄｏｎｍｏｄｅｌｏｆｅｘｐａｎｄｉｎｇｒｅｃｔａｎｇｌｅ .Ｔ…