应用数学和力学

1997 Vol. 18, No. 1

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The First Order Approximation of Non-Kirchhoff-Love Theory for Elastic Circular Plate with Fixed Boundary under Uniform Surface Loading(Ⅰ)

Chien Weizang

1997, 18(1): 1-17.

Abstract(2402) PDF(569)

Abstract:
Based on the approximation theory adopting non-Kirchhoff-Love assumption forthree dimensional elaslic plates with arbitrary shapes, the author derives afunctional of generalized variation for three dimensional elastic circular plates, therebyobtains a set of differtial equations and the relate bound...

1997, 18(1): 18-18.

Abstract(1862) PDF(538)

Abstract:

Nonlnear Theory of Multilayer Sandwich Shells and Its Application(Ⅰ)-General Theory

Wu Jiancheng, Pan Lizhou

1997, 18(1): 19-27.

Abstract(2364) PDF(499)

Abstract:
In this paper, a nonlinear theory is given for multilayer sandwich shell sundergoing small strains and moderate rotations. Then a simplified theory for the shells undergoing moderate or moderate/small rotations are obtained.

Snap-Buckling of Dished Shallow Shells under Uniform Loads

Liu Dong, Chen Shanlin

1997, 18(1): 29-35.

Abstract(2275) PDF(571)

Abstract:
A theoretical analysis is presented for the snap-buckling behaviour of dished shallow shells under undorm loads. By means of the modified iteration method, the second approximate formula of elastic behaviour and a set of numerical solutions aregiven. And effects of parameters β and k on the snap-buc...

A New Approach to Predicting Interfacial Crack Growth

Hu Hurang, Wu Chengping

1997, 18(1): 37-44.

Abstract(2199) PDF(613)

Abstract:
A new approach, called "β=0 approach" is presented for use in the prediction of interfacial crack growth. This approach is a kind of transformation. It transforms an oscillatory stress field to a nonoscillatory case by adjusting the elastic constants of the materials involved. The interface toughnes...

New Points of View on the Nonlocal Field Theory and Their Applications to the Fracture Mechanics (Ⅰ)——Fundamental Theory

Huang Zaixin, Fan Weixun, Huang Weiyang

1997, 18(1): 45-54.

Abstract(2850) PDF(659)

Abstract:
In the linear nonlocal elasticity theory, the solution to the boundary-value problem of the crack with a constant stress boundary condition does not exist. This problem has been studied in this paper. The contents studicd contain of examining objectivity of the energy balance, deducing the constitut...

Stability of Motion for a Constrained Birkhoff’s System in Terms of Independent Variables

Mei Fengxiang

1997, 18(1): 55-60.

Abstract(2350) PDF(535)

Abstract:
This paper proposes firstly the pfaff-Birkhoff-D'Alembert's principle and obtains the equations of motion in terms of the independent variables for a constrained Birkhoff's system from the principle. Secondly, it establishes the equations of perturbation of the system. Finally, it obtains the stabil...

The Optimal Control Variational Principle and Finite Elements Analysis for Viscoplastic Dynamics

Ma Jinghuai

1997, 18(1): 61-66.

Abstract(2589) PDF(621)

Abstract:
This paper presents the optimal control variational principle for Perzyna model which is one of the main constitutive relation of viscoplasticity in dynamics. And it could also be transformed to solve the parametric quadratic programming problem.The FEM form of this problem and its implementation ha...

Unitive Analysis Schemes Problems of Multiple Moving Boundaries with 3-D Liquid-Solid Multiple Nonlinear Coupling for Uplift of Anchored Liquid Storage Tanks

Wen Dechao, Zheng Zhaochang

1997, 18(1): 67-75.

Abstract(2008) PDF(504)

Abstract:
In the paper, 3-D analysis method with unitive schemes is set up. which is used toresolve the uplift with multiple moving boundaries and multiple nonlinear coupling for anchored liquid storage tanks. In it, an algorithm of quasi-harmonious finite elements for arbitrary quadrilateral of thin plates a...

Three Dimensional Simulation of Unstable Immiscible Displacement in the Porous Medium

Tan Xiaoping, Pei Juemin, Chen Junkai

1997, 18(1): 77-84.

Abstract(1848) PDF(509)

Abstract:
In this study changes of uncontinuous potential functions at the interface wereused to simulate the immiscible displacement in porous media. The elliptic partial differential equation was changed to a seven-pomt molecule form algebraic equation inthree dimensions using the finite difference method. ...

Neural Network-Based Adaptive Control of a Class of Uncertain Nonlinear System

Mu Xiaowu, Zhang Huaizhou

1997, 18(1): 85-89.

Abstract(2213) PDF(467)

Abstract:
For a class of nonlinear systems which can be transformed into the canonical form, an adaptive control scheme based on Gaussian radial basis function networks was proposed in [9].In this paper,the idea in [5,10] which was combined to discuss has adaptive control of a more general class of uncertain ...

The Nonparametric Estimation of the Next Failure Time

Li Gang

1997, 18(1): 91-94.

Abstract(1760) PDF(500)

Abstract:
The nonparametric estimation of the next failure time is considered in this paper.The estimator given in the paper has a.s. convergence under some proper conditions.The asymptotic normality of the estimator is also discussed.