应用数学和力学

1988 Vol. 9, No. 4

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Yeh Kai-yuan, Deng Liang-bo

1988, 9(4): 287-295.

Abstract(1660) PDF(547)

Abstract:
In the static and dynamic analysis of composite laminates, a theory for the laminated plates is presented in this paper. Because the deflection W_b which is caused by the classical bending deformation and the deflection W_s which is caused by the shear deformation are divided from the total deflection...

The Perturbation-Iterative Method Applied to the Problems of the Large Deflection of the Elastic Circular Thin Plates

Chou Huan-wen, Yin Chuan-yan

1988, 9(4): 297-304.

Abstract(1939) PDF(545)

Abstract:
In this paper, we present a perturbation-iterative method for solving certain boundary value problems encountered in the nonlinear theory of elastic circular thin plates. At the same time, with this method, we strictly prove the convergence of the solutions for the large deflection equations of circ...

Vibration Analysis of Elliptical Column Partially Submerged in Water

Zhu Yong-yi, Weng Zhi-yuan, Wu Jia-long

1988, 9(4): 305-316.

Abstract(1844) PDF(492)

Abstract:
In this paper, a general analytical method based on Ref. [1] is presented to study the bending vibration of an elliptical column partially submerged in water. Besides, it is pointed out that there is a limitation to the method mentioned in Ref. [2], As a special example, the natural frequencies of c...

Asymptotic Analysis of Stability Problem of Plane Poiseuille Flow for High Reynolds Number

Wang Fa-min, Ng. Tiak Wan

1988, 9(4): 317-326.

Abstract(1893) PDF(501)

Abstract:
A study of the stability of plane Poiseuille flow at higher Reynolds number is made. Within a "triple-deck" structural framework, the qualitative behaviour of the eigenvalue of Orr-Sommerfeld equation is analytically obtained. The corresponding eigenfunction is formulated approximately.

Dynamic Dislocations Solution to Elastoplastic Moving Cracks

Zhao Zhi-su

1988, 9(4): 327-334.

Abstract(1799) PDF(490)

Abstract:
In the range of micro-cosmic, an analogy between linear dislocation arrays and moving cracks is drawn, then elastoplastic moving crack problems are derived by superposition of distribution of dislocations. Various dynamical crack-opened-displacements are derived, which gives an elastoplastic stabili...

Some Problems for Dynamic Computation of Closed Cylindrical Shell Due to Axial impact Load

Cheng Xiang-sheng

1988, 9(4): 335-339.

Abstract(2120) PDF(421)

Abstract:
The present paper treats some of the problems for dynamic computation of closed cylindrical shell due to an axial impact load, including the calculations of the dynamic stresses and the problems of stability. It analyses the changes of the momen tums and the energy in the impact process, takes into ...

Theory and Refined Theory of Elasticity for Transversely Isotropic Plates and a New Theory for Thick Plates

Zhong Zheng-hua, Luo Jian-hui

1988, 9(4): 341-354.

Abstract(2306) PDF(625)

Abstract:
A theory of elasticity for the bending of transversely isotropic plates has been developed from the basic equations of elasticity in terms of displacements for transversely isotropic bodies, which takes into account the loads distributed over the surfaces of the plates. Based on this theory, a refin...

The Method of Solving Axisymmetric Problems in Elastic Space by Complex Function and Some Examples

Wang Zi-kun

1988, 9(4): 355-363.

Abstract(2289) PDF(591)

Abstract:
This paper proves Love's stress function of space axisymmetric problem can be represented by choosing two generalized analytic functions of complex variates reasonably^[1], and deduces the expressions of the components of stress displacements and boundary conditions in complex function. To present th...

On Second Order Asymptotic Solutions of Axial Symmetrical Problems of r>0 Thin Uniform Circular Toroidal Shells with a Large Parameter a²/R₀h

Chen Guo-dong

1988, 9(4): 365-378.

Abstract(1818) PDF(571)

Abstract:
According to the classital shell theory based on the Love-Kirchhoff assumptions, the basic differential equations for the axial symmetrical problems of r>0 thin uniform circular toroidal shells in bending are derived, and the second order asymptotic solutions are given for r>0 thin uniform cir...

Solution for Plane Strain Forward and Backward Extrusions with a Fractional Reduction R=0.5 by the Integration Depending on a Parameter

Zhao De-wen, Zhang Qiang

1988, 9(4): 379-384.

Abstract(2128) PDF(475)

Abstract:
A parameter t is introduced to boundary slip line of rigid regions for plane strain and indirect extrusions with a fractional reduction R=0.5. Integration by substitution has been used along the boundary slip line in order to obtain the extrusion pressure. By the integration depending on a parameter...