凸轮机构基圆半径的确定方法及其分析

基圆半径的确定方法，除了用图解法和试算法外，还可用解析法和图解分析法求解。４种方法各有优缺点，设计时要根据具体情况选择。     

可压缩体的滑移线场理论

从理论上建立了可压缩体的滑移线场理论，并给出了解析实例。研究表明：在平面应变条件下，可压缩体内的两族滑移线不仅不正交，而且随着平均正应力的不同而变化；可压缩体的平面应变问题可以直接采用现有的致密体的滑移线场来求出。     

Directional features in online handwriting recognition

The selection of valuable features is crucial in pattern recognition. In this paper we deal with the issue that part of features originate from directional instead of common linear data. Both for directional and linear data a theory for a statistical modeling exists. However, none of these theories gives an integrated solution to problems, where linear and directional variables are to be combined in a single, multivariate probability density function. We describe a general approach for a unified statistical modeling, given the constraint that variances of the circular variables are small. The method is practically evaluated in the context of our online handwriting recognition system frog on hand and the so-called tangent slope angle feature. Recognition results are compared with two alternative modeling approaches. The proposed solution gives significant improvements in recognition accuracy, computational speed and memory requirements.     

Apollonius tenth problem via radius adjustment and Möbius transformations

The Apollonius Tenth Problem, as defined by Apollonius of Perga circa 200 B.C., has been useful for various applications in addition to its theoretical interest. Even though particular cases have been handled previously, a general framework for the problem has never been reported. Presented in this paper is a theory to handle the Apollonius Tenth Problem by characterizing the spatial relationship among given circles and the desired Apollonius circles. Hence, the given three circles in this paper do not make any assumption regarding on the sizes of circles and the intersection/inclusion relationship among them. The observations made provide an easy-to-code algorithm to compute any desired Apollonius circle which is computationally efficient and robust.     

磨机大齿轮对缝处产生张口的初探

针对大中型磨机大齿轮对缝处在使用中会产生张口现象而降低其使用寿命的问题,从分析产生张口的原因入手,通过理论计算,提出设计的配合间隙,并指出在安装与使用中应注意的问题.     

椭圆光孔上的Fraunhofer衍射图样

将椭圆域变换成圆域，从而借助于圆孔衍射问题的处理方法，给出了椭圆孔上的Ｆｒａｕｎｈｏｆｅｒ衍射图样的数学描述。     

凸轮机构推程、回程运动角的最佳匹配及其求解方法

在推程、回程运动角之和 Φ0 +Φ′0 =C(定值 )的情况下 ,必存在某一对推程、回程运动角的最佳匹配 Opti-m um{ Φ0 ,Φ′0 } ;当选用该最佳匹配时 ,对心式直动从动杆盘形凸轮基圆半径 r0 取得最小值 r0 min。本文在揭示出上述事实的基础上 ,研究解决了当选取最佳匹配 Optim um{ Φ0 ,Φ′0 }时 ,按许用压力角 [α]条件求解对心式直动从动杆盘形凸轮基圆半径最小值 r0 min的解析法。     

利用改进的差分进化算法求解等圆Packing问题

等圆Packing问题属于强约束的复杂组合优化问题之一,针对其强约束特点及难点,通过改进传统的差分进化算法,提出一种等圆Packing问题的求解方法。该改进算法特点是将有效解空间加入差分进化的变异约束中,并采用随机排序机制改进差分进化的选择机制。通过多次实验,表明此算法在求解小规模等圆Packing问题上取得的效果与目前所能找到的最优值相差不到0.6%,从而验证了演化计算在求解等圆Packing问题的可行性;与此同时,演化算法具有很好的收敛性,因此在其他强约束的复杂优化问题上将有很好的应用。     

基于超声波的围岩松动圈实时监测系统设计

实时地掌握围岩松动圈的范围对矿藏的安全生产具有重要的意义。利用超声波探测的灵活性和准确性,本文提出了一种基于超声波的围岩松动圈监测系统设计方法。此方案利用超声波在岩体中的传播速度与岩体的受力状态和裂隙程度的关系来实时地监测围岩松动圈的情况,具有方便、灵活、易于操作等特点。