应用数学和力学

1996 Vol. 17, No. 7

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Atomization of a Liquid Drop by Pulsation

S. P. Lin, Z. W. Zhou

1996, 17(7): 569-576.

Abstract(2509) PDF(502)

Abstract:
By using stability analysis, it is shown that a spherical drop can be resonated parametrically to initiate the formation of droplets of diameters much smaller than that of the original drop. Both the surface tension and the density of the surrounding gas tend to retard this atomization process. The ...

The Analytical Study on the Laser Induced Reverse-Pluggaing Effect by Using the Classical Elastic PlateTheory(Ⅱ)──Reversa-Bulge. Motion

Zhou Yichun, Duan Zhuping, Xie Bomin

1996, 17(7): 577-588.

Abstract(2160) PDF(421)

Abstract:
Tile reverse-bulge motion(RBW) in the metallic foils. which is induced by spatially cylindrical long pulse laser. is examined in order to analyse the newly-discovered reverse-plugging effect(RPE). An uncoupled, thin plate theory is Used to determine the induced. flexural vibrations. The solution is ...

Nonlinear Three-Dimensional Analysis of Composite Laminated Plates

Jiang Xiaoyu, Zhang Xiangzhou, Chen Baipin

1996, 17(7): 589-600.

Abstract(2075) PDF(483)

Abstract:
In this paper. an analytic method is. presented. for the research of nonlinear Three-dimensional problems of composite laminated plates. The perturbation method and the variational principle are used to satisfy the basic differential equations and the boundary conditions of the three-dimensional the...

Double High Order S-Breaking Bifurcation Points and Their Numerical Determination

Yang Zhonghua, Ye Ruisong

1996, 17(7): 601-612.

Abstract(1605) PDF(427)

Abstract:
We consider double high order S-breaking bifurcation points of two-Parameter dependent nonlinear problems with Z₂×Z₂-symmetry. Because of the underlying symmetry we could propose some regular extended systems to determine double high order S-breaking bifurcation points. and we could also show that t...

A Three-Fluid Model of the Sand-Driven Flow

Liu Dayou, Dong Fei

1996, 17(7): 613-624.

Abstract(2134) PDF(501)

Abstract:
The sand-driven flow is studied from the continuum viewpoint in this paper. The crux of this work is how to model the stresses of the particle phase properly. By analysing the two-fluid model which usually, works in solving gas-particle two-phase. flow,. we find that this model has many. deficiencie...

Newton’s Theorem with Respect to a Lot of Centers and Their Applications

Gut Zuhua

1996, 17(7): 623-627.

Abstract(1901) PDF(527)

Abstract:
In this paper we shall extend the paper [1] to a separate Taylor's Theorem with respect to a lot of centers, namely Newton's Theorem of a lot of centers. From it we obtain the analogous results in the paper [2]. namely an interpolation formula of the difference of higher order. Finally we give their...

The General Method for Solving the Dynamic Problems

Sun Youlie

1996, 17(7): 629-638.

Abstract(2115) PDF(424)

Abstract:
In this paper the author has used the normalized Routh equations^[1] to. solve the dynamic problems and establish the general method for. finding out the constraint forces and the variations of the state of motion for the complicated systems.

Analysis of Dynamic Responce of an impacted Elastic Plate

Yin Bangxin

1996, 17(7): 639-644.

Abstract(2297) PDF(635)

Abstract:
In [1], the dynamic response of an impacted elastic plate is analysed. Using the method in [1] is on condition that impacting body is rigid and the relation between impact reacting. force and partial deformation is known In this paper. Simulate formula of impact reacting force. function is presented...

Relativistic Variation Principles and Equation of Motionfor Variable Mass Controllable Mechanical Systems

Luo Shaokai

1996, 17(7): 645-653.

Abstract(2523) PDF(530)

Abstract:
With classical variable mass and relativistic variable mass cases being considered.the relativistic D'Alembert principles of Lagrange form Nielsen form and Appell. form for variable mass controllable mechanical system are given the relativistic Chaplygin equation. Nielsen equation and Appell equatio...

Solving Vibration Problem of Thin Plates Using Integral Equation Method

Xu Mingtian, Cheng Delin

1996, 17(7): 655-660.

Abstract(2342) PDF(807)

Abstract:
This paper deals with reducing differential equations of vibration problem of plates with concentrated masses, elastic supports and elastically mounted masses into eigenvalue problem of integral equations. By applying the general function theory and the integral equation theory. the frequency equati...

M. E. Shvez lterative Method and its Application in Mechanics

Yuan Yiwu, Liu Youwen

1996, 17(7): 661-666.

Abstract(2219) PDF(500)

Abstract:
When there is small quantity term contained in differential equation, we may solve if by using the M.E.Shvez iterative method. If foe small quantity term has singularity, of in foe certain region where foe small quantity term is not small, using this method to solve such differential equation, we ma...