ANALYTICAL SOLUTIONS FOR THE LAYERED GEO-MATERIALS SUBJECTED TO AN ARBITRARY POINT LOAD IN THE CARTESIAN COORDINATE

This paper presents analytical solutions for the stress and displacement field in elastic layered geo-materials induced by an arbitrary point load in the Cartesian coordinate system. The point load solutions can be obtained by referring to the integral transform and the transfer matrix technique. However, former solutions usually exist in the cylindrical coordinate system subjected to axisymmetric loading. Based on the proposed solutions in the Cartesian coordinate, it is very easy to solve asymmetric problems and consider the condition with internal loads in multi-layered geo-materials. Moreover, point load solutions can be used to construct solutions for analytical examination of elastic problems and incorporated into numerical schemes such as boundary element methods. The results discussed in this paper indicate that there is no problem in the evaluation of the point load solutions with high accuracy and efficiency, and that the material non-homogeneity has a significant effect on the elastic field due to adjacent loading.     

On optimizing edge connectivity of product graphs

This work studies the super edge connectivity and super restricted edge connectivity of direct product graphs, Cartesian product graphs, strong product graphs and lexicographic product graphs. As a result, sufficient conditions for optimizing the edge connectivity and restricted edge connectivity of these graphs are presented.     

集合套范畴的研究

模糊集理论与 Topos理论有着密切的联系 ,借助于模糊集理论中的集合套理论 ,引入了两种新的范畴——集合套范畴 SEB1和 SEB2。首先证明了 SEB1满足卡氏积封闭性 (Cartesian Closed) ,但没有SC(子对象分类器 ) ,所以 SEB1不是 Topos.其次 ,得出 SEB2是一个 Topos     

笛卡儿闭Domain范畴的两个重要性质

对于CONT的任意一个笛卡儿闭的满子范畴C,构造CONT的两个新的满子范畴R-C(以C对象的收缩为对象的范畴)和B-C(以C扩张序列的双极限为对象的范畴),并证明了它们都是笛卡儿闭范畴。由于R-C和B-C都包含C为其满子范畴,利用上述结果可得CONT的极大笛卡儿闭子范畴必对收缩和双极限封闭。本文还从范畴笛卡儿闭性的角度给出了Domain理论中一个公开问题的等价描述。     

SOME PROPERTIES OF A CLASS OF INTERCHANGE GRAPHS

§１ＩｎｔｒｏｄｕｃｔｉｏｎＬｅｔＧｂｅａｃｏｎｎｅｃｔｅｄｇｒａｐｈｗｉｔｈｖｅｒｔｅｘ－ｓｅｔＶ（Ｇ）ａｎｄｅｄｇｅ－ｓｅｔＥ（Ｇ）．Ｄｅｎｏｔｅｂｙｅ＝（ｘ，ｙ）ｔｈｅｅｄｇｅｊｏｉｎｉｎｇｔｈｅｖｅｒｔｉｃｅｓｘａｎｄｙｏｆＧ．Ａｍ－ｃｌｉｑ...     

INVESTIGATION ON KANE DYNAMIC EQUATIONS BASED ON SCREW THEORY FOR OPEN-CHAIN MANIPULATORS

IntroductionDynamicsofroboticmanipulatorsisthebasisofdynamiccontrolandmechanicaldesignofroboticmanipulators.Dynamicanalysisofrobotscanemploytheapproachesoftheoreticalmechanicsanddynamicequationsofanalyticalmechanics,suchasNewton_Eulerdynamicequations,Lagrange_Eulerdynamicequations ,Routhequation ,Appellequation ,andKaneequations.Theultimateresultsarethesamewhenweinvestigateononekindofmotionsaboutoneobjectivebydifferentdynamicequations,butthespeedandquantitiesofcomputationoftheseequationsare…     

Homoclinic Chaos in 2-DOF Robot Manipulators Driven by PD Controllers

The existence of Smale horseshoes in the dynamics of twodegrees of freedom (2-DOF) robot manipulators with viscous damping anddriven by classical proportional-derivative (PD) controllers is proved.The situation where an actuator failure occurs is also analyzed. Thecontrollers correspond to the classical PD and the PD with gravitycompensation. They are considered as non-Hamiltonian perturbations of anundriven 2-DOF robot; then a technique developed by Holmes and Marsden,which uses a combination of a reduction scheme and Melnikov's methodwith an energy balance argument, is applied.     

Immersed finite element methods for parabolic equations with moving interface

This article presents three Crank‐Nicolson‐type immersed finite element (IFE) methods for solving parabolic equations whose diffusion coefficient is discontinuous across a time dependent interface. These methods can use a fixed mesh because IFEs can handle interface jump conditions without requiring the mesh to be aligned with the interface. These methods will be compared analytically in the sense of accuracy and computational cost. Numerical examples are provided to demonstrate features of these three IFE methods. © 2012 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2013     

软体操作器结构设计及植入式光纤传感方法

为解决微创手术软体机器人的形状实时监测问题,将刻有三个光纤布拉格光栅的单根光纤植入软体操作器中,利用其研究柔性硅胶软体操作器光纤传感和三维形状重构方法。进行了软体操作器的结构设计及模型建立,并对光纤光栅波长漂移量和软体操作器弯曲曲率之间的关系进行了理论分析;通过实验验证了软体操作器结构设计及其模型建立的有效性,测试了软体操作器不同弯曲状态下三个FBG传感器的反射谱特征及其变化规律;通过分析三个FBG传感器的中心波长漂移量,利用线性插值算法计算出软体操作器在不同弯曲状态下的曲率等参数,并结合曲线拟合方法实现软体操作器的三维形状重构。实验结果表明:植入式光纤光栅传感方法可以实现硅胶软体手术操作器的三维形状传感,在微创外科手术领域具有广阔的应用前景。     

Property of Kelley for the Cartesian products and hyperspaces

A continuum having the property of Kelley is constructed such that neither , nor the hyperspace , nor small Whitney levels in have the property of Kelley. This answers several questions asked in the literature.