1985 Vol. 6, No. 10

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The Method of Continuous Distribution of Singularities to Treat the Stokes Flow of the Arbitrary Oblate Axisymmetrical Body
Zhu Min, Wu Wang-yi
1985, 6(10): 859-871.
Abstract(1946) PDF(795)
Abstract:
This paper deals with the Stokes flow of the arbitrary oblate axisymmetrical body by means of constant density and quadratic distribution function approximation for the method of continuous distribution of singularities. The Sampson spherical infinite series arc chosen as fundamental singularities. ...
Vibration Theory of Continuous Beam under the Action of Moving Load
Yeh Kai-Yuan, Ma Guo-lin
1985, 6(10): 873-878.
Abstract(2109) PDF(690)
Abstract:
This paper uses the small parameter method to investigate the dynamic calculation of the whole vibration process of trains passing through a continuous beam, considering the effects of the mass and the damping as well as the masses of the moving loads. By solving a set of integral equation, we find ...
Integral Invariant in Noncoservative Systems and Its Application in Modern Physics
Liu Cheng-qun, Luo Shi-yu
1985, 6(10): 879-885.
Abstract(2067) PDF(604)
Abstract:
In this paper, the Poincaré and Poincaré-Cartan integral invariants in nonconservative systems are established. According to the integral invariant, he non-linear oscillation of particles in 3-folded symmetry spiral sector cyclotron is investigated, It turns out that the method is successful.
The Schrodinger Equation of Thin Shell Theories
Shen Hui-chuan
1985, 6(10): 887-900.
Abstract(2139) PDF(1351)
Abstract:
This work is the continuation of the discussions of [50] and [51]. In this paper:(A) The Love-Kirchhoff equation of small deflection problem for elastic thin shell with constant curvature are classified as the same several solutions of Schrödinger equation, and we show clearly that its form in axisy...
The Three-Dimensional Unsteady Boundary Layer over an Impulsively Started Rotating Disk
Chen Y. M
1985, 6(10): 901-904.
Abstract(1892) PDF(755)
Abstract:
The unsteady boundary layer over an impulsively started rotating disk is studied, a complete solution describing the smooth transition from vortex diffusion at ωt=0 to Kármán's steady solution is obtained by series expansion and its numerical continuation. The angle of body streamlines, together wit...
Minimal Polynomial Matrix and Linear Multivariable System(Ⅱ)
Hwang Ling, Yu Nian-cai
1985, 6(10): 905-922.
Abstract(2084) PDF(597)
Abstract:
Part(Ⅰ) of this work is on the theory of minimal polynomial matrix and Part(Ⅱ) is on the applications of this theory to linear multivariable systems.In I of this part, using the theory in Part(Ⅰ), some results about input part of a linear multivariable system are discussed in detail and in Ⅱ, using ...
Pansymmetry and Fixed Pansystems Theorems of a Class of Pansystems Relations
Wu chen
1985, 6(10): 923-928.
Abstract(1872) PDF(592)
Abstract:
In this paper, some results of pansymmetry and fixed pansy stems theorems are extended to the case of a class of binary relations under the framework of pansystems methodology. It is concretely discussed when a class of binary relations has a common fixedsubset on a finite universal set. Several sim...
Harmonic Solutions of Some Second-Order Nonlinear Equations under a Periodic Force
Ge Wei-gao
1985, 6(10): 929-937.
Abstract(1903) PDF(556)
Abstract:
In this paper we prove some theorems on the existence of harmonic solutions of some second-order nonlinear equations under a periodic force. These theorems extend relevant results in refs [1]-[8].
Elastic Perfectly-Plastic Fields at a Rapidly Propagating Crack-Tip
Lin Bai-song
1985, 6(10): 939-946.
Abstract(2076) PDF(672)
Abstract:
All the stress components at a rapidly propagating crack-tipin an elastic perfectly-plastic material are the functions of θ only. Making use of this condition and the equations of steady-state motion, stress-strain relations and yield conditions, we obtain the general solutions in both the cases of ...
Calculation of Orthotropic Shallow Conoidal Shell Roofs
Cheng Xiang-sheng
1985, 6(10): 947-952.
Abstract(1874) PDF(496)
Abstract:
The present paper is to introduce the method for the calculation of the roof with orthotropic shallow conoidal shells which are always used in the industrial buildings. Since the middle surface of the shallow conoidal shell having the variable curvatures and twists, therefore the system of fundament...
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