应用数学和力学

2005 Vol. 26, No. 5

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Numerical Study of Local Boundary Layer Receptivity to Freestream Vortical Disturbances

ZHANG Yong-ming, ZHOU Heng

2005, 26(5): 505-211.

Abstract(2923) PDF(854)

Abstract:
Method of direct numerical simulation was used for the investigation of the local receptivity of a 2-D boundary layer of a flat plate to harmonic vortical disturbances in the freestream. Under the interaction of the vortical disturbances in the freestream and the roughness element on the wall, Tollm...

Precise Integral Algorithm Based Solution for Transient Inverse Heat Conduction Problems With Multi-Variables

WANG Yi-bo, YANG Hai-tian, WU Rui-feng

2005, 26(5): 512-518.

Abstract(3173) PDF(616)

Abstract:
By modeling direct transient heat conduction problems via finite element method (FEM) and precise integral algorithm, a new approach is presented to solve transient inverse heat conduction problems with multi-variables. Firstly, the spatial space and temporal domain are discretized by FEM and precis...

Generalized Vector Quasi-Equilibrium Problems in Locally G-Convex Spaces

DING Xie-ping

2005, 26(5): 519-526.

Abstract(2548) PDF(752)

Abstract:
Some classes of generalized vector quasi-equilibrium problems (in short, GVQEP) are introduced and studied in locally G-convex spaces which includes most of generalized vector equilibrium problems, generalized vector variational inequality problems, quasi-equilibrium problems and quasi-variational i...

Model and Method of Well Test Analysis for Wells With Vertical Fracture

GUO Da-li, ZENG Xiao-hui, ZHAO Jin-zhou, LIU Ci-qun4

2005, 26(5): 527-533.

Abstract(2616) PDF(718)

Abstract:
Based on the flow mechanism of hydraulic fractured wells, through integrating linear-flow model and effective well-radius model, a new model of well test analysis for wells with vertical fracture was established. In the model, wellbore storage, the damage in the wall of fracture and all kinds of bou...

Vibrating-Uplift Rocking Motion of Caisson Breakwaters Under Various Breaking Wave Impact Forces

WANG Yuan-zhan, ZHOU Zhi-rong, YANG Hai-dong

2005, 26(5): 534-540.

Abstract(4129) PDF(607)

Abstract:
Overturning is one of principal failure types of caisson breakwaters and is an essential content of stability examination in caisson breakwater design. The mass-spring-dashpot model of caisson-foundation system is used to simulate the vibrating-uplift rocking motion of caisson under various types of...

Laminar Dissipative Flow in a Porous Channel Bounded by Isothermal Parallel Plates

Kamel Hooman, Mofid Gorji-Bandpy

2005, 26(5): 541-546.

Abstract(2906) PDF(549)

Abstract:
The effects of viscous dissipation on thermal entrance heat transfer in a parallel plate channel filled with a saturated porous medium, is investigated analytically on the basis of a Darcy model. The case of isothermal boundary is treated. The local and the bulk temperature distribution along with t...

Model of Centrifugal Effect and Attitude Maneuver Stability of a Coupled Rigid-Flexible System

LI Zhi-bin, WANG Zhao-lin, WANG Tian-shu, LIU Ning

2005, 26(5): 547-555.

Abstract(2743) PDF(587)

Abstract:
The influences of nonlinear centrifugal force to large overall attitude motion of coupled rigid-flexible system was investigated. First the nonlinear model of the coupled rigid-flexible system was deduced from the idea of "centrifugal potential field", and then the dynamic effects of the nonlinear c...

Boundary Integral Formula of the Elastic Problems in Circle Plane

DONG Zheng-zhu, LI Shun-cai, YU De-hao

2005, 26(5): 556-560.

Abstract(2689) PDF(863)

Abstract:
By bianalytic functions, the boundary integral formula of the stress function for the elastic problem in a circle plane is developed. But this integral formula includes a strongly singular integral and can not be directly calculated. After the stress function is expounded to Fourier series, making u...

A Dynamic Model for Rocket Launcher With Coupled Rigid and Flexible Motion

ZHANG Ding-guo, XIAO Jian-qiang

2005, 26(5): 561-568.

Abstract(2972) PDF(683)

Abstract:
The dynamics of a coupled rigid-flexible rocket launcher is reported. The coupled rigid-flexible rocket launcher is divided into two subsystems, one is a system of rigid bodies, the other a flexible launch tube which can undergo large overall motions spatially. First, the mathematical models for the...

Damage Progressive Model of Compression of Composite Laminates After Low Velocity Impact

CHENG Xiao-quan, LI Zheng-neng

2005, 26(5): 569-576.

Abstract(3263) PDF(1180)

Abstract:
Compressive properties of composite laminates after low velocity impact are one of the most serious circumstances that must be taken into account in damage tolerance design of composite structures. In order to investigate compressive properties of composite laminates after low velocity impact, three...

Investigation on Kane Dynamic Equations Based on Screw Theory for Open-Chain Manipulators

LIU Wu-fa, GONG Zhen-bang, WANG Qin-que

2005, 26(5): 577-584.

Abstract(2769) PDF(1269)

Abstract:
First, screw theory, product of exponential formulas and Jacobian matrix are introduced. Then definitions are given about active force wrench, inertial force wrench, partial velocity twist, generalized active force, and generalized inertial force according to screw theory. After that Kane dynamic eq...

Applications of Nonlinear Optimization Method to the Numerical Studies of Atmospheric and Oceanic Sciences

DUAN Wan-suo, MU Mu

2005, 26(5): 585-594.

Abstract(2847) PDF(1304)

Abstract:
Linear singular vect or and linear singular value can only describe the evolution of sufficiently small perturbations during the period in which the tangent linear model is valid. With this in mind, the applications of nonlinear optimization methods to the atmospheric and oceanic sciences are introd...

Adaptive Generalized Predictive Control of Switched Systems

WANG Yi-jing, WANG Long

2005, 26(5): 595-601.

Abstract(2828) PDF(835)

Abstract:
The problem of adaptive generalized predictive control which consists of output prediction errors for a class of switched systems is studied. The switching law is determined by the output predictive errors of a finite number of subsystems. For the single subsystem and multiple subsystems cases, it i...

Nonlinear Evolution of the Wave on the Small-Amplitude Uneven Sloping Bed

BAI Yu-chuan, XU Hai-jue, LU Dong-qiang

2005, 26(5): 602-608.

Abstract(2499) PDF(597)

Abstract:
There are different forms of the beds on the natural sandy coast, on which the propagation process of the wave is a typical nonlinear one. Based on this, the nonlinear propagation process of the wave on the small-amplitude uneven sloping bed is analyzed by using the perturbation method. The results ...

Application of Wavelet Theory in Research on Weight Function of Meshless Method

ZHANG Hong, ZHANG Xuan-bing, GE Xiu-run

2005, 26(5): 609-613.

Abstract(2882) PDF(651)

Abstract:
Multiresolution analysis of wavelet theory can give an effective way to describe the information at various levels of approximations or different resolutions, based on spline wavelet analysis, so weight function is orthonormally projected onto a sequence of closed spline subspaces, and is viewed at ...

Geometrical Nonlinear Waves in Finite Deformation Elastic Rods

GUO Jian-gang, ZHOU Li-jun, ZHANG Shan-yuan

2005, 26(5): 614-620.

Abstract(3061) PDF(730)

Abstract:
By usinge Hamilton-type variation principle in non-conservation system, the nonlinear equation of wave motion of a elastic thin rod was derived according to Lagrange description of finite deformation theory. The dissipation caused due to viscous effect and the dispersion introduced by transverse ine...

Research on an Orthogonal Relationship for Orthotropic Elasticity

LUO Jian-hui, LIU Guang-dong

2005, 26(5): 621-624.

Abstract(2623) PDF(719)

Abstract:
The new orthogonal relationship is generalized for orthotropic elasticity of three-dimensions. The thought of how dual vectors are constructed in a new orthogonal relationship for theory of elasticity is generalized into orthotropic problems. A new dual vector is presented by the dual vector of the ...

Study on the Structure of Singular Points of Laminar Flame System

WANG Xiu-e, YIN Xian-jun

2005, 26(5): 625-630.

Abstract(2288) PDF(622)

Abstract:
Under some certain assumptions, the physical model of the air combustion system was simplified to a laminar flame system. The mathematical model of the laminar flame system, which was built according to thermodynamics theory and the corresponding conservative laws, was studied. With the aid of quali...