应用数学和力学

2001 Vol. 22, No. 7

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Control of a Hyperchaotic Discrete System

CHEN Li-qun, LIU Zeng-rong

2001, 22(7): 661-665.

Abstract(2132) PDF(482)

Abstract:
The Control of a hyperchaotic discrete system is investigated. A time-varying feedback control law is established on the base of local linearization. The Liapunov direct method is applied to estimate the neighborhood in which the control law can be effectively used. Numerical examples are presented ...

Nonlinear Bending Theory of Diagonal Square Pyramid Reticulated Shallow Shells

XIAO Tan, LIU Ren-huai

2001, 22(7): 666-672.

Abstract(2195) PDF(582)

Abstract:
Double-deck reticulated shells are a main form of large space structures. One of the shells is the diagonal square pyramid reticulated shallow shell, whose its upper and lower faces bear most of the load but its core is comparatively flexible. According to its geometrical and mechanical characterist...

A New Method for Solution of 3D Elastic-Plastic Frictional Contact Problems

ZHANG Hong-wu, ZHONG Wan-xie, GU Yuan-xian

2001, 22(7): 673-681.

Abstract(2582) PDF(792)

Abstract:
The solution of 3D elastic-plastic frictional contact problems belongs to the unspecified boundary problems where the interaction between two kinds of nonlinearities should occur. Considering the difficulties for the solution of 3D frictional contact problems, the key part is the determination of th...

Investigation of the Scattering of Harmonic Elastic Waves by Two Collinear Symmetric Cracks Using the Non-Local Theory

ZHOU Zhen-gong, WANG Biao

2001, 22(7): 682-690.

Abstract(2507) PDF(628)

Abstract:
The scattering of harmonic waves by two collinear symmetric cracks is studied using the non-local theory. A one-dimensional non-local kernel was used to replace a two-dimensional one for the dynamic problem to obtain the stress occurring at the crack tips. The Fourier transform was applied and a mix...

The Eigentensors of an Arbitrary Second Order Tensor and Their Quality Analyses

HUANG Yong-nian

2001, 22(7): 691-694.

Abstract(2390) PDF(1375)

Abstract:
A notation of the eigentensors of an arbitrary second order tensor had been introduced by HUANG Yong-nian(1992). By using this notation an explicit solution of homogeneous linear ordinary differential equations with constant coefficients had been given. Recently, it is found that these eigen tensors...

A Method for Topological Optimization of Structures with Discrete Variables under Dynamic Stress and Displacement Constraints

SHI Lian-shuan, SUN Huan-chun, FENG En-min

2001, 22(7): 695-700.

Abstract(2598) PDF(825)

Abstract:
A method for topological optimization of structures with discrete variables subjected to dynamic stress and displacement constraints is presented. By using the quasi-static method, the structure optimization problem under dynamic stress and displacement constraints is converted into one subjected to...

New Explicit and Exact Travelling Wave Solutions for a Class of Nonlinear Evolution Equations

XIA Tie-cheng, ZHANG Hong-qing, YAN Zhen-ya

2001, 22(7): 701-705.

Abstract(2710) PDF(701)

Abstract:
With the help of Mathematica, many travelling wave solutions for a class of nonlinear evolution equations u_tt+au_xx+bu+cu²+du³=0 are obtained by using hyperbola function method and Wuelimation method, which include new travelling wave solutions, periodicl solutions and kink soliton solutions. Some eq...

The Analysis for the Airflow Exciting-Vibration Force of Control Stage of Steam Turbine

CHAI Shan, ZHANG Yao-ming, MA Hao, QU Qing-wen, ZHAO You-qun

2001, 22(7): 706-712.

Abstract(2238) PDF(677)

Abstract:
Based on the hydrodynamics, the airflow exciting-vibration force of control stage of steam turbine is studied by using the momentum theorem. A formulation for calculating the air exciting-vibration force of the control stage of steam turbine is deduced first by using theoretical analysis method and ...

The Application of a Modified Normal Form Approach

ZHANG Wei-yi, Koncay Huseyin, YE Min

2001, 22(7): 713-718.

Abstract(2336) PDF(503)

Abstract:
The modified normal form approach presented by ZHANG Wei-yi, K Huseyin and CHEN Yu-shu is further extended and a different procedure is introduced which lends itself readily to symbolic calculations, like MAPLE. This provides a number of significant advantages over the previous approach, and facilit...

Diffusion Characters of the Orbits in the Asteroid Motion

ZHOU Li-yong, SUN Yi-sui, ZHOU Ji-lin

2001, 22(7): 719-728.

Abstract(2147) PDF(571)

Abstract:
A symplectic mapping is studied carefully. The exponential diffusion law in developed chaotic region and algebraic law in mixed region were observed. An area was found where the diffusion follows a logarithmic law. It is shown in the vicinity of an island, the logarithm of the escape time decreases ...

Affine Transformation in Random Iterated Function Systems

XIONG Yong, SHI Ding-hua

2001, 22(7): 729-734.

Abstract(2281) PDF(1162)

Abstract:
Random iterated function systems (IFSs) is discussed, which is one of the methods for fractal drawing. A certain figure can be reconstructed by a random IFS. One approach is presented to determine a new random IFS, that the figure reconstructed by the new random IFS is the image of the origin figure...

NGP_G-Stability of Linear Multistep Methods for Systems of Generalized Neutral Delay Differential Equations

CONG Yu-hao

2001, 22(7): 735-742.

Abstract(2469) PDF(618)

Abstract:
The stability analysis of linear multistep methods for the numerical solutions of the systems of generalized neutral delay differential equations is discussed. The stability behaviour of linear multistep methods was analysed for the solution of the generalized system of linear neutral test equations...

Parameter Iteration Method for Solving Nonlinear Problem

LIN Jiang-guo

2001, 22(7): 743-748.

Abstract(2501) PDF(502)

Abstract:
The parameter iteration method was developed for solving the nonlinear problem in this paper. The results of several examples show that even the first iteration solution has very good accuracy.

Qualitative Analysis for a Class of Second Order Nonlinear System with Delay

PENG Qi-lin

2001, 22(7): 749-752.

Abstract(2583) PDF(646)

Abstract:
The second order nonlinear system with delay x"(t)+f(x(t),x'(t))+g(x(t),x'(t))ψ(x(t-τ))=p(t) being considered. Four theorems on the stability of zero solution, the boundedness of the solutions, the existence of the periodic solutions, the existence and uniqueness of the stationary oscilation are obt...

Reductive Perturbation Method of Super KdV Equations

LÜ Ke-pu, SUN Jian-an, DUAN Wen-shan, ZHAO Jin-bao

2001, 22(7): 753-757.

Abstract(2684) PDF(572)

Abstract:
By using reductive perturbation method, super KdV equations are changed into ordinary KdV equations, small amplitude perturbation solutions are obtained.

Comments on AMSAA-BISE Reliability Growth Model

MEI Wen-hua, GUO Yue-e, YANG Yi-xian

2001, 22(7): 758-762.

Abstract(2763) PDF(576)

Abstract:
From 1986 to 1991, based on AMSAA model, ZHOU Yuan-quan and WENG Zhao-xi presented AMSAA-BISE model to estimate reliability growth for multiple systems development, for the case that more than one system of the same type is put into reliability growth test, once a Type B failure mode is seen during ...

Research on AMSAA-BISE Model--an Answer to MEI Wen-hua

ZHOU Yuan-quan

2001, 22(7): 763-767.

Abstract(2730) PDF(664)

Abstract:
The AMSAA-BISE model is derived from another approach. This certainly shows the correctness of the AMSAA-BISE model, and indicates the incorrectness of the approximate model given in this paper. The engineering example illustrating these conclusions is given. Merits and demerits of AMSAA and AMSAA-B...

Comments on AMSAA-BISE Reliability Growth Model(Ⅱ)

MEI Wen-hua, GUO Yue-e

2001, 22(7): 768-770.

Abstract(2314) PDF(703)