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中文
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25 June 1987, Volume 4 Issue 2
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CATASTROPHE AND CHAOS IN NONLINEAR VIBRATIONS OF A BEAM SUPPORTED BY HINGE AND ROLL
Feng Ching-zhen
1987, 4(
2
): 129-136.
Abstract
(
)
PDF
(518KB) (
)
We investigate the effect of nonlinear curvature on vibrations of an elastic simple supported beam and roller with large deflection.A set of nonlinear integro-differential.equations is derived by use of Galerkin approximation.Computations show that the system has interesting dynamical behaviors such as cusp catastrophe and chaos.
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QUASI RANDOM CHOICE METHOD (QRCM)
Liu Ru-xun, Li Bai-hao
1987, 4(
2
): 137-144.
Abstract
(
)
PDF
(456KB) (
)
In the paper a new method for solving discontinuous problems——QRCM is proposed.The main difference between QRCM and RCM
[2]
is that QRCM transforms the governing equation system (∂
u
)/(∂
t
)+
A
(
u
)(∂
u
)/(∂
x
)=
H
(
u
) (
A
) into mutually independent scalar equations utilizing quasi characterized method
[5]
ωi(
u
)·
du
|
(
dx
)/(
dt
)=λi
=ωi(
u
)·
H
(
u
)
dt
ωi(
u
)·((∂
u
)/(∂
t
)+
λ
1
(∂
u
)/(∂
x
)=ωi(
u
)·
H
(
u
) or ωi(
u
)·
du
|
(
dx
)/(
dt
)=λi
=ωi(
u
)·
H
(
u
)
dt
(
B
) so that solving Riemann problems of (A) can be replaced by solving Rie-mann problem of each (B)'s scalar equation, where λi and ωi(
u
) are the eigenvalues and eigenvectors respectively of Jacobian mafrix
A
(
u
).The method keeps the main advantages of RCM.Especially, it is suitable for parallel computation.Finally,two test examples are computed,the numerical results are sati-sfctory compared with known results.
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A CLASS OF ANALYTIC FUNCTIONS O CCURRING IN PLASMA PHYSICS
Yang Jia-hua
1987, 4(
2
): 145-151.
Abstract
(
)
PDF
(381KB) (
)
The resonance interaction of plasma waves with the toroidal dirfts of particles leads to the occurrence of a class of the so-called "resonance integrals".In this article author carry on an all-round investigation in the ProPerties and the methods of calculation of the functions which are defined by these integrals.
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A NUMERICAL SOLUTION OF THE BOUNDARY VALUE PROBLEM FOR SECOND ORDER ORDINARY DIFFERENTIAL EQUATTIONS
Jian Guang-de, Pan Chuan-hong
1987, 4(
2
): 152-158.
Abstract
(
)
PDF
(379KB) (
)
In this paper, a kind of boundary value problems of ordinary differential equations, in which the function solutions increase rapidly, are solved by means of compressed transformation.It has been shown that the convergence can be speed up in this way.Some satisfied numerical results are obtained by using an analytic approach near the singular point w=0.
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TWO-DIMENSION RADIATION HYDRODYNAMICS CALCULATION OF THE HIGH-ALTITUDE FIREBALL
Wang Xin-zheng, Sui Wei-xing
1987, 4(
2
): 159-168.
Abstract
(
)
PDF
(589KB) (
)
his paper presents the major methods of two-dimensional radiation hydrodynamics calculation of the high altitude fireball and a part of the calculation results. The two-dimensional cylinder symmetry radiation hydrodynamics Eulerian equations and maximum entropy variable Eddington factor P-1 approximation equations are used to describe the development Process of the fireball. The new difference schemes are given for the coupled calculation between the energy and P-l approximation equations.
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A SAMPLE PHYSICS MODEL OF LASER INJECTED RATIO OF PLANE INLET TARGET
Zhang Jun, Gu Pei jun
1987, 4(
2
): 169-177.
Abstract
(
)
PDF
(534KB) (
)
In design of hohlraum targets, the design of laser beam inlet is one of the most important problems. Because the mattar on the edge of inlet is heated by laser when-laser is injected, the matter expands isothermally to the inside of the inlet and finally the mattar in the inlet inhibits the laser from coming into the inlet. This is the closure phenomenon. Since the numerical simulation of the closure is two or three dimesion calculation, it is usually very difficult.In this paper a simple physical modle of the plane inlet target has been developed to compute closure time and ratio of injected laser energy in a very large,range of laser parameters.The qualitative tendency and the experienced dependence of the injected laser energy ratio versus the radius of inlet and the laser parameters have been obtained on the basic of numerical computations.The experienced formula of the threshold radius of inlet versus laser parameters has also been compared with the values of experimental measurement of plane inlet targets. The injected ratio is agreed within the order of 25%.
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THE CUBIC SPLINE ANALYSIS OF SUBSTRATE AND MICROOGANISMS COUPLING TRANSPORT IN POROUS MEDIA
Huang Jun-Qi, Liu Ci Qun
1987, 4(
2
): 178-188.
Abstract
(
)
PDF
(631KB) (
)
Cubic spline and implicit iteration methods are used to solve the partial differential equations discribing the problem of substrate and microoganisms coupling transport in porous media. The results indicate that the scheme is appropriate to solve the nonlinear diffusion equations in witch convection dominates, and the final results are good. By the numerical analysis, the transport behaviours of microoganisms in porous media are generally understood. Moreover, the effects of every parameters in the systems are also ascertained.
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APPROXIMATE ESTIMATION OF ELCCTROMAGNETIC PULSE PRODUCED IN ATOMOSPHERE UNDER CONDITION OF NUCLEAR AIRBURST
Wang Tai-chun, Wang Yu-zhi
1987, 4(
2
): 189-196.
Abstract
(
)
PDF
(456KB) (
)
In this paper approximate analitical formula of current and electronic rield produced by prompt-
γ
photons are derived under the condition of nuclear airburst.Calculational results from those formula showed that forward position, gradient, peak value and half width of electronic field mainly depend on intensity and time behavior of prompt-
γ
photons released from nuclear device.
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THE THEORY AND METHOD OF RECTANGULAR FINITE ELEMENT ANALYSIS FOR ELECTRON OPTICAL LENS
Liu Bao-yan
1987, 4(
2
): 197-209.
Abstract
(
)
PDF
(700KB) (
)
In this Paper the variational principle of electron optical lens was proved by a mathematical method, and an analytic method of rectangular finite element was expounded. The element stiffness matrix was given, and the banded matrix of coefficients in the system of finite element equations begotten. Finally, the convergence of the rectangular finite element solution by using functional analysis implements was discussed.
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ZOOM-FFT ANALYSIS OF THE STATIONARY RANDOM PROCESS
Chu Zhong-wu, Gao Zhang-shun
1987, 4(
2
): 210-214.
Abstract
(
)
PDF
(295KB) (
)
In this paper we give a method to raise the resolution of some narrow frequency domain-band, it is called ZOOM-FFT1,and we implement it on the computer. We affirm the superiority of this method on solving to raise the resolution of frequency. At the same time, we also implement the method ZOOM-FFT2 on the computer to raise the resolution of the whole frequency domain-band, we point out it's applicable region. According to these two methods, we program two subroutines, which can use small capacity FFT analyzer to dispose of large capacity input data, and can give different spectral lines of resolution power spectral function and correlation function.
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MODEL STUDY OF THE EFFECTS OF THE FITTING PARAMETER △E
0
IN THE EXAFS DATA ANALYSIS
Zheng Yu Hua, Zhong-yi
1987, 4(
2
): 215-218.
Abstract
(
)
PDF
(256KB) (
)
In this paper, the effects of the fitting parameter
△
E
0
on the structural determinations in the EXAFS structural study of amorphous alloys have been discussed through the model calculations. The results show that the cancellation of the fitting parameter △E
0
can increase the reliability of the data analysis in the EXAFS structural study of amorphous alloys.
Select
A NEW COMPUTATIONAL METHOD FOR ONE-DIMENTIONAL UNSTEADY GAS FLOW WITH SHOCK WAVE
Du Xun
1987, 4(
2
): 219-226.
Abstract
(
)
PDF
(367KB) (
)
A new fast computational method for one-dimentional unsteady gas flow with shock wave is developed. The differential equations and boundary conditions in new. Lagrangian variables are formulated. We calculated a specific case that the piston is moving with constant acceleration. In this example the position of the Shock wave is found with good accuracy. Before the formation of the shock wave, the simple wave has an exact solution. Comparism of our computational results with the exact solution shows satisfaction in accuracy.
Select
A CALCULATION PROGRAM OF X-RAY QUANTITATIVE MICROANALYSIS OF MICROPARTICLE SPECIMENS BY MONTE CARLO SIMULATION
He Yan-cai, Cao Li-qun, Hu min, Chen Jia-guan
1987, 4(
2
): 227-234.
Abstract
(
)
PDF
(459KB) (
)
Based on the physical model and the calculation method proposed in references[1,2] by anthors,a calculation program of XQMA of micre-particle specimens by using Monte Carlo simulation was made.A series of theoretical formulae for the electron scattering and the production, absorption and fluorescence of characteristic X-rays in particles were given.The datum documents are established in the program.The softwa-re has the ability of automatically treating data,and it can also be applied to the XQMA of block specimens and thin film specimens.
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