应用数学和力学

2008 Vol. 29, No. 1

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PSE as Applied to Problems of Secondary Instability in Supersonic Boundary Layers

ZHANG Yong-ming, ZHOU Heng

2008, 29(1): 1-7.

Abstract(3000) PDF(590)

Abstract:
Parabolized stability equations (PSE) approach is used to investigate problems of secondary instability in supersonic boundary layers. The results show that the mechanism of secondary instability does work, whether the 2-D fundamental disturbance is of the first mode or second mode T-S wave. The var...

Modal Analysis of Coupled Vibration of Belt Drive Systems

LI Xiao-jun, CHEN Li-qun

2008, 29(1): 8-12.

Abstract(2818) PDF(606)

Abstract:
The modal method is applied to analyze coupled vibration of belt drive systems. A belt drive system is a hybrid system consisting of continuous belts modeled as strings as well as discrete pulleys and a tensioner arm. The characteristic equation of the system was derived from the governing equation....

Numerical Simulation of Quasi-Streamwise Hairpin-Like Vortex Generation in a Turbulent Boundary Layer

ZHANG Nan, LU Li-peng, DUAN Zhen-zhen, YUAN Xiang-jiang

2008, 29(1): 13-20.

Abstract(3986) PDF(795)

Abstract:

Some Integral Inequalities on Time Scales

Adnan Tuna, Servet Kutukcu

2008, 29(1): 21-26.

Abstract(2372) PDF(665)

Abstract:
The reverse Hêlder type inequality and Hêlder inequality in two dimensional case on time scales were studied. Many integral inequalities by using Hêlder inequalities on time scales were also obtained which give Hardy. sinequalities as spacial cases.

Nonlinear Turbulence Models That Predict Strong Curvature Effects

XU Jing-lei, MA Hui-yang, HUANG Yu-ning

2008, 29(1): 27-37.

Abstract(3253) PDF(869)

Abstract:
The curvature effects on the structure of turbulence were analyzed qualitatively. Numerical simulations of a turbulent U-duct flow with a number of turbulence models in order to assess their overall performance were conducted. The models evaluated are some typical linear eddy viscosity turbulence mo...

Study on the Orbit and Attitude Control of Spacecraft Formation Flying

ZHANG Zhi-guo, LI Jun-feng

2008, 29(1): 38-46.

Abstract(3030) PDF(865)

Abstract:
Formation flying is a novel concept of distributing the functionality of large spacecraft among several smaller, less expensive, cooperative satellites. Some applications require that a controllable satellite keep relative position and attitude to observe a specific surface of another satellite amon...

Research Progress on the Thermal Protection Materials and Structures in Hypersonic Vehicles

YANG Ya-zheng, YANG Jia-ling, FANG Dai-ning

2008, 29(1): 47-56.

Abstract(3491) PDF(1373)

Abstract:
Hypersonic vehicles represent future trends of military equipments and play an important role in future war. Thermal protection materials and structures, which relate to the safety of hypersonic vehicles, are one of the most key techniques in design and manufacture of hypersonic vehicles. Among thes...

Solution of a Nonlinear Wave Equation of Elastic Rod

GUO Peng, ZHANG Lei, LÜ Ke-pu, DUAN Wen-shan

2008, 29(1): 57-61.

Abstract(2769) PDF(585)

Abstract:
The longitudinal oscillation of a nonlinear elasticrod with lateral inertia were studied. A nonlinear wave equation is derived. The equation is solved by the method of full approximation.

Strain Analysis of Nonlocal Viscoelastic Kelvin Bar in Tension

ZHAO Xue-chuan, LEI Yong-jun, ZHOU Jian-ping

2008, 29(1): 62-68.

Abstract(3119) PDF(684)

Abstract:
Based on viscoelastic Kelvin model and nonlocal relationship of strain and stress, a nonlocal constitutive relationship of viscoelasticity was obtained and the strain response of a bar in tension was studied. By transforming governing equation of the strain analysis into Volterra integration form an...

Global Qualitative Analysis of a New Monod Type Chemostat Model With Delayed Growth Response and Pulsed Input in a Polluted Environment

MENG Xin-zhu, ZHAO Qiu-lan, CHEN Lan-sun

2008, 29(1): 69-80.

Abstract(3157) PDF(756)

Abstract:
A new Monod type chemostat model is considered with time delay and pulsedinput concentration of the nutrient in a polluted environment. Using the discrete dynamical system deter mined by the stroboscopic map, a-microorg anismex tinction. periodic solution is obtained. Further more, the sufficient co...

Interaction of Underwater Explosion Bubble With Complex Elastic-Plastic Structure

ZHANG A-man, YAO Xiong-liang

2008, 29(1): 81-92.

Abstract(3393) PDF(852)

Abstract:
Considering structure of elastic-plasticity, the combination of boundary element method and finite element method (FEM) was employed to present the calculation method for solving the complex coupling dynamic problem of bubble, plastic-elastic structure and free surface, and the complete threedimensi...

An Algorithm for Phase Contrast X-ray Tomography Based on the Nonlinear Phase Retrieval

NI Wen-lei, ZHOU Tie

2008, 29(1): 93-103.

Abstract(2716) PDF(681)

Abstract:
A new algorithm for phase contrast X-ray tomography under holographic measurement was proposed. The main idea of the algorithm was to solve the nonlinear phase retrieval problem using the Newton iterative method. The linear equations for the Newton directions were proved to beill-posed and the regul...