Some generalizations of generalized bi-quasivariational inequalities

The purpose of this paper is to introduce and study the existenee problems of solutions for a class of new bi-quasi-variational inequalities. The resuhs presented in this paper unify, sharpen and extend many recent results.     

The solution of large deflection problem of thin circular plate by the method of composite expansion

In this paper, the method of composite expansion in perturbation theory is used for the solution of large deflection problem of thin circular plate. In this method. the outer field solution and the inner boundary layer solution are combined together to satisfy all the boundary conditions. In this paper, Hencky’s membrane solution is used for the first approximation in outer field solution, and then the second approximate solution is obtained. The inner boundary layer solution is found on the bases of boundary layer coondinate. In this paper, the reciprocal ratio of maximum deflection and thickness of the plate is used as the small parameter. The results of this paper improves quite a bit in comparison with the results obtained in 1948 by Chien Wei-zang.     

SOME FURTHER GENERALIZATIONS OF KY FAN’S MINIMAX INEQUALITY AND ITS APPLICATIONS TO VARIATIONAL INEQUALITIES

The purpose of this paper is to introduce the concept of generalized KKM mapping andto obtain some general version of the famous KKM theorem and Ky Fan’s minimaxinequality.As applications,we utilize the results presented in this paper to study the saddlepoint problem and the existence problem of solutions for a class of quasi-variationalinequalities.The results obtained in this paper extend and improve some recent results of[1-6].     

无拉力Winkler地基梁静力分析的线性互补法

提出了无拉力Ｗｉｎｋｌｅｒ地基梁弯曲的线性互补法．将地基反力作为未知量而获得了一组地基与梁之间相对竖向位移和反力的线性互补方程．计算结果表明本文解与文［２，３］解吻合良好。     

圆板弹塑性弯曲的简单样条积分方程法

提出了圆板弹塑性弯曲的简单样条积分方程法.以径向转角作为未知量建立积分方程并结合B样条函数进行求解.这一方法具有域积分容易处理、精度高和计算简单的优点.计算结果表明本文解与文[2]解吻合良好.     

Probabilistic contractor couple and solutions for a system of nonlinear equations in non-archimedean menger probabilistic normed spaces

The Purpose of this paper is to introduce the concept of probabilistic contractor couple in non-Archimedean probabilistic normed spaces and to study the existence and uniqueness of solutions for a system of nonlinear operator equations with probabilistic contractor couples in non-Archimedean probabilistic normed spaces.The results presented in this paper improve and extend the corresponding results in[1-5].     

On the representation of finite rotation in nonlinear field theory of continuum mechanics

One of the important basic theoretical problems in the development of continuum mechanics is the separation of finite strain and finite rotation at a point in the displacement field. Now it is certain that S-R decomposition theorem provides a rational theoretical solution for this problem. The purpose of this paper is to clarify some misleading basic concepts of finite rotation of deformed body in current literature, and to promote further progress.The detailed abstract of this paper was published in 1985 Shanghai International Conference of Nonlinear Mechanics. In the present paper some new results are included.     

KKM technique and its applications

In this paper,the Knaster-Karatowski-Mazurkiewicz technique(KKM technique,in short)is presented.By using this technique a new alternative theorem and a new coincidence theorem are established.The results obtained in this paper unify and generalize the corresponding results in the recent works.     

High-order methods for differential equations with large first-derivative terms

A method is developed to solve elliptic singular perturbation problems. Examples are presented in one and two dimensions for both linear and non-linear problems. In particular, examples are presented for fluid flow problems with boundary layers. In the one-dimensional case an approximating equation is developed using just three points. The method first presented is a fourth-order approximation but is extended to become a higher-order method. Results are included for the fourth-, sixth-, eighth- and tenth-order methods. The results are first compared with results found by Segal in an article about elliptic singular perturbation problems. The elliptic singular perturbation problems are compared with a method by Il'in and also with central and backward difference schemes from Segal's article. There was only one case where the results in Segal's paper were as accurate as the results presented in this paper. However, in this case the method used by Segal did not give accurate values for a second problem presented. The results are also compared with results given by Spalding and by Christie. The method of this paper was also tested on the solution of some non-linear diffusion equations with concentration-dependent diffusion coefficients. The results were superior to results presented by Lee and by Schultz. Finally, the method is extended to several two-dimensional problems. The method developed in this paper is accurate, easy to use and can be generalized to other problems.     

New method for oblique impact dynamics research of a flexible beam with large overall motion considering impact friction force

A flexible beam with large overall rotating motion impacting with a rigid slope is studied in this paper. The tangential friction force caused by the oblique impact is analyzed. The tangential motion of the system is divided into a stick state and a slip state. The contact constraint model and Coulomb friction model are used respectively to deal with the two states. Based on this hybrid mod-eling method, dynamic equations of the system, which include all states (before, during, and after the collision) are obtained. Simulation results of a concrete example are compared with the results obtained from two other models: a nontangential friction model and a modified Coulomb model. Differences in the results from the three models are discussed. The tangential friction force cannot be ignored when an oblique impact occurs. In addition, the results obtained from the model proposed in this paper are more consistent with real movement.     

Elastic–plastic analysis of offset indentations on unpressurised pipes

The results of investigations to determine the elastic–plastic behaviour of unpressurised pipes with long offset indentations and unsymmetric support conditions are presented in this paper. They include the results of experimental tests, FE analyses and analytical methods. Three different materials and five different geometries are used to investigate their effects on the behaviour. A comparison of the experimental results, FE and analytical solutions indicates that the general analytical formulation developed in this paper for predicting the peak indenter loads in offset indented pipes, is reasonably accurate. Also, the analyses presented in this paper indicate that using a representative nominal flow stress, which is the average of yield and ultimate tensile stresses, in the analytical method, is appropriate for predicting the peak indenter loads.     

The matric algorithm of Lyapunov exponent for the experimental data obtained in dynamic analysis

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环板在局部线性荷载作用下的塑性极限分析的计算方法探讨

本文结合环板在线性荷载作用下的塑性极限分析问题,给出一种简便的计算方法,即奇异函数法。文中用此法计算了具有外边界或内边界支承的环板的极限荷载,并画出几何参数对极限荷载的影响曲线。所得的结果具有良好的规律性而且是比较合理的。     

Convergence theorem of common fixed points for Lipschitzian pseudo-contraction semi-groups in Banach spaces

The purpose of this paper is to study the weak convergence problems of the implicity iteration process for Lipschitzian pseudocontractive semi-groups in the general Banach spaces. The results presented in this paper extend and improve the corresponding results of some people.     

Analysis of Wet Pressing of Paper: The Three-Phase Model. Part II: Compressible Air Case

In this study we consider a model of wet pressing of paper. We use the techniques and results from the first part of this paper, where a simplified model is studied in details. The model is, using suitable transformation, rewritten in the standard parabolic-hyperbolic form. Numerical solution for typical example is given and the effects of plastic deformations of paper are investigated. Finally, the model is employed to adres the problem of choosing an optimal pressing regime.     

二维数字图像相关测量中离面位移引起的误差分析

二维数字图像相关方法作为一种非接触全场变形测量的光学方法,在工程上有着广泛的应用.由于其假设物体只发生面内位移,而实验中往往存在离面位移,从而引起测量误差.本文针对这一问题利用了针孔模型,从理论上分析了离面位移对普通镜头测量结果的影响,通过铝块平移实验验证了理论分析的正确性.利用提出的理论模型修正橡胶材料的变形测量结果,并与远心镜头测量结果进行对比,发现修正后的普通镜头测量的结果更接近远心镜头测量的结果.最后,本文根据理论分析和实验验证,给出了减小或消除离面位移造成误差的方法.     

STOCHASTICITY NEAR RESONANCES IN A KIND OF NEAR-INTEGRABLE HAMILTONIAN SYSTEMS BASED ON SMALE HORSESHOES

In this paper, a method is developed to detect the appearance of stochasticity in a kind of near-integrable Hamiltonian system with two time-scales. One is fast and the other slow. The stochasticity is showed to be chaos in the sense of Smale horseshoes actually.A stochastic web is discovered in our example, by use of the results obtained in this paper.     

Impact of liquid sloshing on the behaviour of vehicles carrying liquid cargo

The purpose of this paper is to study the stability and the behaviour of the dynamics of tank vehicles carrying liquid fuel cargo. Liquid forces and moments due to liquid sloshing is one of the most serious problems strongly related to the instability of tank vehicles. In this paper, a simplified analytical model of liquid sloshing is developed using the Navier–Stokes equations. Simulation results obtained using the full complex Navier–Stokes equations modulated with numerical commercial software are compared to the simplified analytical model. The comparison highlights the validity assumptions used on the analytical model. The results show a good correlation under single or double lane change and turning manoeuvres. In the second part for this paper, a full dynamic vehicle is coupled with the analytical liquid model. This simulation result is compared to a rigid vehicle cargo.     

Nonlinear and chaotic analysis of a financial complex system

In this paper,determination of the characteristics of futures market in China is presented by the method of the phase-randomized surrogate data.There is a significant difference in the obtained critical values when this method is used for random timeseries and for nonlinear chaotic timeseries.The singular value decomposition is used to reduce noise in the chaotic timeseries.The phase space of chaotic timeseries is decomposed into range space and null noise space.The original chaotic timeseries in range space is restructured.The method of strong disturbance based on the improved general constrained randomized method is further adopted to re-deternination.With the calculated results,an analysis on the trend of futures market of commodity is made in this paper.The results indicate that China＇s futures market of commodity is a complicated nonlinear system with obvious nonlinear chaotic characteristic.     

激光陀螺抖动系统振动特性的有限元分析

建立了激光陀螺抖动系统的三维有限元模型,对其振动特性进行了模态分析,并对该系统进行了模态实验测量,最后将模态分析的结果和实验测量结果进行了对比。对比结果表明,所建立的有限元模型合理,分析结果可靠,对该系统的改进设计具有重要意义。