应用数学和力学

1999 Vol. 20, No. 12

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Engineering Mechanics and Materials Research in the Information Technology Age

Ken P Chong, Daniel C Davis

1999, 20(12): 1211-1214.

Abstract(2118) PDF(605)

Abstract:
In this paper,importance of information technology research and development for economic growth and prosperity is presented.Major missio of the research for fundamental science and engineering base is discussed.Critical points of the mechanics and materials research in the 21th Century are proposed.

Mann and Ishikawa Iterative Approximation of Solutions for m-Accretive Operator Equations

Zhang Shisheng

1999, 20(12): 1215-1223.

Abstract(1915) PDF(684)

Abstract:
The purpose of the paper is to study the Mann and Ishikawa iterative approximation of solutions for m-accretive operator equations in Banach spaces.The results presented in this paper extend and improve some authors.recent results.

Subharmonic and Ultra-Subharmonic Response of Nonlinear Elastic Beams Subjected to Harmonic Excitation

Zhang Nianmei, Yang Guitong

1999, 20(12): 1224-1228.

Abstract(2391) PDF(560)

Abstract:
In this paper the dynamics response of beams subjected to transverse harmonic excitation is studied.The nonlinearity of constitutive relations of the beam material is considered.When the buckled beams compressed by axial forces are subjected to transverse period perturbation,the harmonic bifurcates ...

Controlling Chaotic Oscillations of Viscoelastic Plates by the Linearization via Output Feedback

Chen Liqun, Cheng Changjun

1999, 20(12): 1229-1234.

Abstract(2457) PDF(621)

Abstract:
Controlling chaotic oscillations of viscoelastic plates is investigated in this paper.Based on the exact linearization method in nonlinear system control theory,a nonlinear feedback control law is presented for a class of non-affine control systems.The mathematical model describing motion of nonline...

Finite Element Analysis of Wave Propagation in Fluid-Saturated Porous Media

Yan Bo, Liu Zhanfang, Zhang Xiangwei

1999, 20(12): 1235-1244.

Abstract(2514) PDF(646)

Abstract:
With the porous media model based on mixture theory,a finite element formulation for dynamic transient analysis of fluid-saturated two-phase porous media is presented.Time integration of the equation,deduced with penalty method,can be performed by using implicit or explicit method. One-dimensional w...

Effect of the Distributary of Nasal Meatuses on Olfaction

Tan Wenchang, Wu Wangyi, Yan Zongyi, Wen Gongbi

1999, 20(12): 1245-1251.

Abstract(2076) PDF(773)

Abstract:
Considering the effect of distributary of the interior meatus and middle meatus on olfaction,an unsteady two-dimensional model of olfaction has been developed with describing the mean cross-sectional velocity of odorant flow in the common meatus as a function of axis coordinate.The analytical soluti...

Double-Moment of Spacial Curved Bars With Closed Thin-Wall Cross Section

Zhu Yuchun, Zhang Peiyuan, Yan Bo

1999, 20(12): 1252-1258.

Abstract(2342) PDF(1151)

Abstract:
In this paper,the double-moment of thin-wall cross section spacial curved bars of anisotropic materials is discussed,and a general solving method for this type of problems as well as the concrete double-moment formula of planary curved bars subjected to action of vertical loads are given out.

A Mixture Differential Quadrature Method for Solving Two-Dimensional Incompressible Navier-Stokes Equations

Sun Jian'an, Zhu Zhengyou

1999, 20(12): 1259-1266.

Abstract(2770) PDF(760)

Abstract:
Differential quadrature method(DQM)is able to obtain highly accurate numerical solutions of differential equations just using a few grid points.But using purely differential quadrature method, good numerical solutions of two-dimensional incompressible Navier-Stokes equations can be obtained only for...

Generalized Flow Analysis of Non-Newtonian Visco-Elastic Fluids Flow Through Fractal Reservoir

Tong Dengke, Chen Qinlei

1999, 20(12): 1267-1274.

Abstract(2662) PDF(503)

Abstract:
In this paper,fractal geometry theory is used to combine with the seepage flow mechanics to establish the relaxation models of non-Newtonian visco-elastic fluids flow in fractal reservoirs.A method to scale the fractal properties of a fractal reservoir by a double parameters(d_f,d_s)and to describe th...

A Damage Function Used for Prediction of Low Cyclic Fatigue Life

Jiang Fengchun, Liu Ruitang, Liu Diankui

1999, 20(12): 1275-1280.

Abstract(2491) PDF(695)

Abstract:
In this paper,the cyclic plastic strain energy is acted as damage variable and its mathematical model of transient response is established.The nonlinear fatigue damage function is given by means of the damage mechanical method.The formula used for prediction of low cyclic fatigue life is obtained fr...

A Method of Following the Unstable Path Between Two Saddle-Node Bifurcation Points in Nonlinear Dynamic System

Zhang Jiazhong, Hua Jun, Xu Qingyu

1999, 20(12): 1281-1285.

Abstract(2828) PDF(571)

Abstract:
A computation algorithm based on the Poincar Mapping in combination with Pseudo-Arc Length Continuation Method is presented for calculating the unstable response with saddle-node bifurcation,and the singularity,which occurs using the general continuation method combined with Poincar Mapping to follo...

Modeling and Bifurcation Analysis of the Centre Rigid-Body Mounted on an External Timoshenko Beam

Xiao Shifu, Chen Bin

1999, 20(12): 1286-1290.

Abstract(2319) PDF(576)

Abstract:
For the system of the centre rigid-body mounted on an external cantilever beam,the equilibrium solution of the steadily rotating beam is stable if the effect of its shearing stress(i.e.the beam belongs to the Euler-Bernoulli type)is not considered.But for the deep beam,it is necessary to consider th...

A Complete Expression of the Asymptotic Solution of Differential Equation With Three-Turning Points

Zhang Juling, Zhu Wenli

1999, 20(12): 1291-1300.

Abstract(2500) PDF(547)

Abstract:
In this paper,a second order linear ordinary differential equation with three-turning points is studied.This equation is as follows and λ is a large parameter,but . By using JL function,the complete expression of the formal uniformly valid asymptotic solutions of the equation near turning point is o...

On the Asymptotical Behaviour of Solutions of a Class of Nonlinear Control Systems

Teng Zhidong

1999, 20(12): 1301-1308.

Abstract(2635) PDF(585)

Abstract:
In this paper the asymptotical behaviour solutions of a class of nonlinear control systems are studied.By establishing infinite integrals along solutions of the system and drawing support from a LaSalle's invariance principle of integral form,criteria of dichotomy and global asymptotical behaviour o...

A Study of the Static and Global Bifurcations for Duffing Equation

Cao Qingjie, Zhang Tiande, Li Jiuping

1999, 20(12): 1309-1316.

Abstract(2641) PDF(1163)

Abstract:
In this paper,the static and global bifurcations of the forced Duffing equation have been studied by means of the averaged system.Bifurcation condition has been obtained in the whole parametric space.The change of the phase plane structure has been investigated.