应用数学和力学

2006 Vol. 27, No. 1

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Mesh Free Method Based on Local Cartesian Frame

LIU Gao-lian, LI Xiao-wei

2006, 27(1): 1-5.

Abstract(2660) PDF(550)

Abstract:
A new mesh free method proposed by the authors was presented in which the derivatives at each node were constructed using whole derivative formulas through the nodes selected around the node using local Cartesian frame in an autonomous manner,so that without any element it could be considered as a c...

Prediction Techniques of Chaotic Time Series and Its Applications at Low Noise Level

MA Jun-hai, WANG Zhi-qiang, CHEN Yu-shu

2006, 27(1): 6-12.

Abstract(2522) PDF(576)

Abstract:
Not only the noise reduction methods of chaotic time series with noise and its reconstruction techniques were studied,but also prediction techniques of chaotic time series and its applications were discussed based on chaotic data noise reduction.First the phase space of chaotic time series was decom...

Eigenvalue Problem of a Large Scale Indefinite Gyroscopic Dynamic System

SUI Yong-feng, ZHONG Wan-xie

2006, 27(1): 13-20.

Abstract(2493) PDF(741)

Abstract:
Gyroscopic dynamic system can be introduced to Hamiltonian system.Based on an adjoint symplectic subspace iteration method of Hamiltonian gyroscopic system,an adjoint symplectic subspace iteration method of indefinite Hamiltonian function gyroscopic system is proposed to solve the eigenvalue problem...

Finite Difference Method for Simulatting Transverse Vibrations of an Axially Moving Viscoelatic String

ZHAO Wei-jia, CHEN Li-qun, Jean W Zu

2006, 27(1): 21-27.

Abstract(2884) PDF(655)

Abstract:
Finite difference method is presented to simulate transverse vibrations of an axially moving string.The equation of motion is derived first.By discretizing the governing equation and the equation of stress_strain relation at different frictional knots,two linear sparse finite difference equation sys...

Weight Function for Stress Intensity Factors in Rotating Thick-Walled Cylinder

CHEN Ai-jun, ZENG Wen-ji

2006, 27(1): 28-34.

Abstract(2879) PDF(641)

Abstract:
The equation of stress intensity factors of internally pressurized thick_walled cylinder was used as the reference case'sIF equation of rotating thick_walled cylinder containing a radial crack along the internal bore was presented in weight function method.The weight function formulas were worked ou...

Eigenfrequency Analysis of Cable Structures With Inclined Cables

William Paulsen, Greg Slayton

2006, 27(1): 35-46.

Abstract(3137) PDF(485)

Abstract:
The approximate eigenfrequencies for the in_plane vibrations of a cable structure consisting of inclined cables,together with point masses at various points were computed.It was discovered that the classical transfer matrix method was inadequate for this task,and hence the larger exterior matrices t...

A Symplectic Algorithm for the Dynamics of a Rigid Body

LU Ying-jie, REN Ge-xue

2006, 27(1): 47-52.

Abstract(3662) PDF(1491)

Abstract:
For the dynamics of a rigid body with a fixed point based on quaternion and the corresponding generalized momenta,a displacement_based symplectic integration scheme for differential_algebraic equations is proposed and applied to the Lagrange's equations based on dependent generalized momenta.Numeric...

Rule of Transient Phreatic Flow Subjected to Vertical and Horizontal Seepage

TAO Yue-zan, XI Dao-ying

2006, 27(1): 53-59.

Abstract(2788) PDF(739)

Abstract:
In a semi_infinite aquifer bounded by a channel,a transient flow model is constructed for phreatic water subjected to vertical and horizontal seepage.Based on the first linearized Boussinesq equation,the analytical solution of the model is obtained by Laplace transform.Having proven the transformati...

Droplet Collision and Coalescence Model

LI Qiang, CAI Ti-min, HE Guo-qiang, HU Chun-bo

2006, 27(1): 60-66.

Abstract(2879) PDF(819)

Abstract:
A new droplet collision and coalescence model was presented,a quick_sort method for locating collision partners was also devised and based on theoretical and experimental results,further advancement was made to the droplet collision outcome.The advantages of the two implementations of SPH method wer...

Unconventional Hamilton-Type Variational Principles For Dynamics of Reissner Sandwich Plate

HUANG Wei-jiang, LUO En, SHE Hui

2006, 27(1): 67-74.

Abstract(2814) PDF(880)

Abstract:
According to the basic idea of classical yin_yang complementarity and modern dual_complementarity,in a simple and unified way proposed by Luo(1987),some unconventional Hamilton_type variational principles for dynamics of Reissner sandwich plate can be established systematically.The unconventional Ha...

Vertical Vibration Analysis of Axisymmetric Saturated Soil

CAI Yuan-qiang, XU Chang-jie, ZHENG Zao-feng, WU Da-zhi

2006, 27(1): 75-81.

Abstract(2561) PDF(620)

Abstract:
Based on Biot's dynamic consolidation equations,by means of Laplace_Hankel transform technology,the integral solutions of stress and displacement in saturated soil with subjacent rock_stratum under axisymmetric arbitrary excitations were derived.Influence of the reflected wave generated by the bound...

Wave Interactions in Suliciu Model for Dynaimc Phase Transitions

TANG Shao-qiang, QIAN Jing, XIAO Jun

2006, 27(1): 82-88.

Abstract(2413) PDF(501)

Abstract:
Elementary waves in Suliciu model for dynamic phase transitions are obtained through traveling wave analysis.For any given initial data with two pieces of constant states,the Riemann solutions are constructed as a combination of elementary waves.When the initial profile contains three pieces of cons...

Fault Diagnosis of Rotating Machinery Using Knowledge-Based Fuzzy Neural Network

LI Ru-qiang, CHEN Jin, WU Xing

2006, 27(1): 89-97.

Abstract(2984) PDF(697)

Abstract:
A novel knowledge_based fuzzy neural network(KBFNN)for fault diagnosis is presented. Crude rules were extracted and the corresponding dependent factors and antecedent coverage factors were calculated firstly from the diagnostic sample based on rough sets theory.Then the number of rules was used to c...

Boundary Control of MKdV-Burgers Equation

TIAN Li-xin, ZHAO Zhi-feng, WANG Jing-feng

2006, 27(1): 98-104.

Abstract(2648) PDF(753)

Abstract:
The boundary control of MKdV_Burgers equation was considered by feedback control on the domain[0,1].The existence of the solution of MKdV_Burgers equation with the feedback control law was proved.On the base,priori estimates for the solution was given.At last,the existence of the weak solution of MK...

Preliminary Probe Into the Optimization on Propulsion in Short Distance Competitive Swimming

WANG Xin-feng, WANG Lian-ze

2006, 27(1): 105-111.

Abstract(2845) PDF(722)

Abstract:
Based on the modeling of dynamics and energy conversion in competitive swimming,the optimal control theory was used to make an optimization analysis of the distance traveled in a given time.Using the records of the 27th Olympics and the results from previous research,an optimal solu tion of propulsi...

Poincaré Inequalities in Weighted Sobolev Spaces

WANG Wan-yi, SUN Jiong, ZHENG Zhi-ming

2006, 27(1): 112-118.

Abstract(3497) PDF(1006)

Abstract:
The weighted Poincar inequalities in weighted Sobolev spaces were discussed and some necessary and sufficient conditions for them to hold were given.

Dynamic Analysis of Flexible Body With Definite Moving Attitude

YANG Yuan-ming, ZHANG Wei, SONG Tian-xia, CHEN Chuan-yao

2006, 27(1): 119-126.

Abstract(2628) PDF(539)

Abstract:
The nonlinear dynamic control equation of a flexible multi-body system with definite moving attitude is discussed.The motion of the aircraft in space is regarded as known and the influence of the flexible structural members in the aircraft on the motion and attitude of the aircraft is analyzed.By me...