PRACTICAL G~2 CONTINUITY ALGORITHMS BETWEEN ADJACENT NURBS PATCHES

Geometriccontinuityiswidelyrecognizedastheappropriatewaytofittogethertwoadja-centsurfacepatchesinCAD/CAM.ItavoidsdePendenceofparametrizatinnandprovidesaddi-tionalparametersformodelingtheshapes.Apatchworktechniqueconstructsanycompositesurfacestraightforwardly,patchbypatch.ThetangentplanecontinuityG1andcurvaturecon-tinuityG2ofparametricsurfacepatcheshavebeenstudied[1~6J-AlltheseresearchersworkwithsurfacepatchesinBezierformandrationalBezierform.IncontrasttoNURBSsurface,BezierandrationalBe…     

Theoretical aspects of selecting repeated unit cell model in micromechanical analysis using displacement-based finite element method

Repeated Unit Cell(RUC)is a useful tool in micromechanical analysis of composites using Displacement-based Finite Element(DFE)method,and merely applying Periodic Displacement Boundary Conditions(PDBCs)to RUC is almost a standard practice to conduct such analysis.Two basic questions arising from this practice are whether Periodic Traction Boundary Conditions(PTBCs,also known as traction continuity conditions)are guaranteed and whether the solution is independent of selection of RUCs.This paper presents the theoretical aspects to tackle these questions,which unify the strong form,weak form and DFE method of the micromechanical problem together.Specifically,the solution’s independence of selection of RUCs is dealt with on the strong form side,PTBCs are derived from the weak form as natural boundary conditions,and the validity of merely applying PDBCs in micromechanical Finite Element(FE)analysis is proved by referring to its intrinsic connection to the strong form and weak form.Key points in the theoretical aspects are demonstrated by illustrative examples,and the merits of setting micromechanical FE analysis under the background of a clear theoretical framework are highlighted in the efficient selection of RUCs for Uni Directional(UD)fiber-reinforced composites.     

一种基于参数控制的低轨星载接收机载波跟踪算法CSCD

低轨星座接收机面临大多普勒频移及频繁快速换星等设计约束,对其载波跟踪环路设计提出了较高的动态适应性与跟踪精度要求。针对以上问题,提出了一种基于参数控制的载波跟踪算法。该算法引入环路控制因子参数,将环路滤波器分为牵引和跟踪两阶段。基于理论建模推导环路控制因子的最优参数配置原则,指导实现牵引和跟踪两种状态滤波器的协同配合,在牵引阶段有效引导大多普勒信号快速入锁,在跟踪阶段精确估计载波频移参数,实现基于低轨星载平台的GNSS信号快速准确跟踪。理论与仿真结果均表明基于参数控制的载波跟踪算法能够有效提升环路的动态适应性与跟踪精度,满足低轨星载接收机的设计需求。与传统算法相比,该算法在保证信号跟踪精度的同时,能够将收敛时间缩短78%,且环路设计简单,易于硬件实现。     

驱动轮结构参数对月球车牵引性能影响研究

研究在月球表面环境下月球车的牵引通过性能,对保证其正常探测工作具有重要意义.根据牵引性能的评价指标,在模拟月壤-车轮土槽测试系统上对不同结构参数的驱动轮牵引性能进行对比试验.结果表明,当增大驱动轮宽度和直径时,其挂钩牵引力和效率系数都呈增大趋势;增大驱动轮的轮刺高度,挂钩牵引力增大;当滑转率小于20%时,效率系数随着轮刺高度的增大而增大,而当滑转率大于20%时,效率系数随着轮刺高度的增大而减小;增大驱动轮轮刺密度时,其挂钩牵引力和效率系数随之先增大后减小.      

关于有理Bézier曲面片的几何连续拼接问题

本文深入研究了有理Bézier曲面片的几何连续拼接问题,给出了GC~1拼接条件的显式表示和判断两曲面片GC~1拼接状况的判定条件。用此条件可编写一简单程序,通过输入两曲面片的控制顶点及权因子,便可以“YES”或“NO”的输出回答两曲面片的拼接是否为GC~1连续。在非GC~1拼接时,可对称地修改两曲面片使其GC~1拼接。最后,本文给出了几种CAD/CAM工程中实用的充分条件。     

洛尔定理的推广和柯西中值定理的证明

本文对洛尔定理进行了推广，并给出了柯西中值定量的三种证法。     

函数光滑性的特征表示及其性质

函数在某点的光滑程度可用其在这点的连续性和各阶导数描述,但更细致的描述是用函数在这点的Ｌｉｐｓｃｈｉｔｚ指数来刻划的;而函数在一个区间上的光滑性则可以用函数的一致连续和导函数来考察,更精确的是用一致Ｌｉｐｓｃｈｉｔｚ指数与考虑。首先,给出了函数在某点的伪导数定义,它能描述函数的光滑性,然后,讨论了它与函数的导数、Ｌｉｐｓｃｈｉｔｚ指数之间的关系,以及一个区间上的伪导函数与函数的一致Ｌｉｐｓｃｈｉｔ     

模糊σ-代数上的模糊数值测度及应用(Ⅰ)

设(Χ,A,μ)是一个全有限测度空间,H为由A生成的模糊σ-代数。通过计算H中模糊子集的截集的测度,运用一维模糊数的嵌入定理,构造了一种定义在H上取值于一维模糊数空间的测度,这种测度限制在A上就是测度μ,并且具有可列可加性、下连续性、上连续性、自连续性等性质。这种测度取值一维模糊数,保留了模糊子集较多的信息,所以它可以更为细致地刻划模糊子集。作为在模糊聚类理论方面的应用,把(Χ,A,μ)上用于度量普通集合间不相似性的度量推广到了H上的模糊子集间,得到了一种基本的H上不相似度量。     

广义Fuzzy数值测度的绝对连续性和奇异性探讨

给出了广义Fuzzy数值测度的绝对连续性和奇异性的定义,利用Hahn分解结论探讨了广义Fuzzy数值测度与其上变差、下变差和全变差的绝对连续性和奇异性的关系。     

A new error-controllable method for smoothing the G01 commands

In real machining, the tool paths are composed of a series of short line segments, which constitute groups of sharp corners correspondingly leading to geometry discontinuity in tangent. As a result, high acceleration with high fluctuation usually occurs. If these kinds of tool paths are directly used for machining, the feedrate and quality will be greatly reduced. Thus, generating continuous tool paths is strongly desired. This paper presents a new error-controllable method for generating continuous tool path. Different from the traditional method focusing on fitting the cutter locations, the proposed method realizes globally smoothing the tool path in an error-controllable way. Concretely, it does the smoothing by approaching the newly produced curve to the linear tool path by taking the tolerance requirement as a constraint. That is, the error between the desired tool path and the G01 commands are taken as a boundary condition to ensure the finally smoothed curve being within the given tolerance. Besides, to improve the smoothing ability in case of small corner angle, an improved local smoothing method is also proposed by symmetrically assigning the control points to the two adjacent linear segments with the constrains of tolerance and G3 continuity. Experiments on an open five-axis machine are developed to verify the advantages of the proposed methods.