应用数学和力学

1989 Vol. 10, No. 4

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On Necessary Conditions for Resonance in Turning Point Problems for Ordinary Differential Equations

Jiang Fu-ru

1989, 10(4): 277-284.

Abstract(1949) PDF(526)

Abstract:
In this paper, some misunderstam igs concerning the necessary conditions for resonance for ordinary differential equations with turning point have been corrected, and a recursive process for finding the sequence of necessary conditions for resonance has been offered.

On the Stability of Distorted Laminar Flow(Ⅲ)——The Nonlinear Stability Analysis of Distorted Parallel Shear Flow

Zhou Zhe-wei

1989, 10(4): 285-295.

Abstract(1930) PDF(613)

Abstract:
Based on the hydrodynamic stability theory of distorted laminar flow and the kind of distortion profiles on the mean velocity in parallel shear flow given in paper [1], this paper investigates the nonlinear stability behaviour of parallel shear flow, carries on stability calculation taking account o...

Application of the Method of the Reciprocal Theorem to Finding Displacement Solutions of Cubes

Fu Bao-lian

1989, 10(4): 297-308.

Abstract(2314) PDF(715)

Abstract:
In this paper the method of reciprocal theorem is extended to find solutions of three-D problems of elasticity.First we give the basic solution of the cube with six surfaces fixed as the basic system and then using the reciprocal theorem between the basic system acted on by unit concentrated loads a...

Wave Propagation with Mass-Coupling Effect in Fluid-Saturated Porous Media

Li Xiang-wei, Li Xiang-yue

1989, 10(4): 309-314.

Abstract(1631) PDF(710)

Abstract:
This article utilizes the theory of mixtures to formulate a general theory of wave propagation with mass-coupling effect in fluid-saturated porous media.An attempt is made to discuss the physical interpretation and the thermodynamic restriction of the coefficients appearing in the equations obtained...

Diagonalization Method for a Singularly Perturbed Vector Robin Problem

Ni Shou-ping

1989, 10(4): 315-322.

Abstract(1676) PDF(571)

Abstract:
In this paper the method and technique of the diagonalization are employed to transform a vector second-order nonlinear system into two first-order approximate diagonalized systems.The existence and the asymptotic behavior of the solutions are obtained for a vector second-order nonlinear Robin probl...

A Viscoplastic Model Based on No-Yierd-Surface Concept

Zhou Guang-quan, Cheng Jing-yi

1989, 10(4): 323-330.

Abstract(2051) PDF(498)

Abstract:
The elastic/viscoplastic constitutive equation which describes deformation law of metal materials was suggested based on no-yield-surface concept and thermal activation theory of dislocation.The equation which takes account of effects of strain-rate, strain history, strain-rate history, hardening an...

Bending and Vibration of Composite Laminated Plates

Deng Liang-bo

1989, 10(4): 331-338.

Abstract(1861) PDF(612)

Abstract:
Hybrid-stress finite element method is applied for analysis of bending and vibration of composite laminated plates in this paper.Firstly,based on the modified-complementary principle,a reciangular hybrid-stress plate bending element is presented which applies to analysis of laminates.Inside the elem...

A Class of Variational Difference Schemes for a Singular Perturbation Problem

Lin Ping

1989, 10(4): 339-345.

Abstract(1890) PDF(623)

Abstract:
In this paper, a singularly perturbed boundary value problem for second order self-adjoint ordinary differential equation is discussed.A class of variational difference schemes is constructed by the finite element method.Uniform convergence about small parameter is proved under a weaker smooth condi...

Generalized Transfer Function of Control System and an Improvement on the Decision Method of Movement Stability

Ye Shou-zhen, Sha Wan-qian

1989, 10(4): 347-357.

Abstract(1994) PDF(529)

Abstract:
In this paper the definitions of generalized transfer function of control system and its continuity are presented.Using generalized transfer function as a tool,a set of theorems fordeciding movement stability have been constructed.Thus basing understanding of the characteristics of a control dynamic...

Perturbation Analysis for the Postbucfcling of Rectangular Orthotropic Plates

Shen Hui-shen

1989, 10(4): 359-370.

Abstract(2113) PDF(627)

Abstract:
In this paper, applying perturbation method to von Karman-type nonlinear large deflection equations of orthotropic plates by taking deflection as perturbation parameter, the postbuckling behavior of simply supported rectangular orthotropic plates under in-plane compression is investigated.Two types ...

1989, 10(4): 371-371.

Abstract(1718) PDF(764)

Abstract: