拉格朗日中值定理的一个新证法

本文给出了利用坐标旋转法证明拉格朗日中值定理的一种新方法。即从罗尔定理出发，采用坐标旋转法及隐函数、复合函数求导法则，证明拉格朗日中值定理，由于该证明方法从直观的几何意义入手，因此，其证明过程更加清晰、易懂。     

Investigation of the differential rotation of the large-scale magnetic elements for the solar activity cycles 20 and 21

The differential rotation of the patterns of the large-scale solar magnetic field during solar activity cycles 20 and 21 is investigated. Compact magnetic elements with the polarity of the general solar magnetic field have larger speed of rotation than the elements with the opposite polarity. The surface of the Sun was divided by 10°-zones. In all of them the average rotation rate of the magnetic elements with negative polarity is little higher than that of the magnetic elements with positive polarity, except for 50°-zone of the south hemisphere and at the 10° latitude of the north hemisphere.

The rates of differential rotation for large-scale magnetic elements with negative and positive polarities have similar behavior for both cycles of the solar activity.

The rotation rate varies at polarity reversal of the circumpolar magnetic fields. For the cycle No 20 in 1969–1970 the threefold reversal took place in the northern hemisphere and variations of rotation rate can be noticed for magnetic elements both with positive and negative polarity for each 10°-zone in the same hemisphere.     

一种基于误差四元数的战术导弹垂直发射姿态调转控制器

针对战术导弹垂直发射姿态调转时的快速性要求，研究了垂直发射快速姿态调转的控制问题。首先基于误差四元数并结合垂直发射的具体特点，建立了战术导弹垂直发射的非线性数学模型；然后通过李亚普诺夫第二方法进行控制系统设计，得出了基于误差四元数反馈控制器。分析了系统的稳定性和鲁棒性。该控制器实现了绕欧拉特征轴的旋转，缩短了姿态调转的时间，最后通过仿真验证其有效性。     

基于回转体CAD/CAPP结构的图形文件OpenGL处理技术研究

在计算机辅助车削加工自动编程系统中,利用CAD软件系统输入图形,并通过应用程序对其文件格式进行转化,变成CAPP模块所需的基于特征的数据结构。     

磁制动对地壳板块运动影响的理论分析与实证研究

太阳和木星的自转是不均匀的，纬度愈高，自转愈慢。据此，作者推测液态外地核的自转，也存在类似的不均匀性，而这种不均匀自转将对地壳板块运动产生影响。利用磁流体力学理论，阐明这类星球自转的不均匀性，是磁制动的不均匀性引起的。研究了磁制动对地壳板块运动影响的途径及表现方式，并举出实例证明这些表现方式的确存在，从而证明磁制动是影响地壳板块运动的一个极为重要的因素。     

关于刚体转动的角速度和角加速度的讨论

在理论力学教学中，平面运动刚体的转动与基点无关的证明过于简单，本利用矢量代数的知识，证明平面运动刚体的角度与角加速度与基点的选择无关。     

The role of motor processes in mental rotation: selective shaping of cognitive processing via specific sensorimotor experience

The involvement of motor processes in mental rotation is experience-dependent: different levels of expertise in sensorimotor interactions lead to different strategies in mental rotation. In the present study, wrestlers, gymnasts, and nonathletes physically rotated objects that were either light (wooden) or heavy (lead) but otherwise having the same sizes and shapes. They then performed a mental rotation task using photographs of these objects in which the material and therefore the weight was visible. I hypothesized that wrestlers would rely more heavily on experience-based sensorimotor strategies in performing mental rotation because during their athletic practice they not only manipulate external “objects” (i.e., their opponent) but also have to plan future actions taking into account past experience of these “objects” (for example their weight). All participants reported that lead objects were harder to physically rotate than wooden ones. However, only wrestlers mentally rotated lead objects more slowly than wooden ones—as they would if they were physically rotating them—suggesting the involvement of motor processes. These findings show that the involvement of motor processes in mental rotation depends on specific rather than mere sensorimotor experience.     

一种小天体旋转参数估计方法

小天体旋转参数是科学数据,也是小天体测绘,着陆导航的基础数据.研究一种在小天体探测接近段过程中使用的基于图像上特征点跟踪和扩展卡尔曼滤波器的小天体旋转参数估计方法.该方法首先建立小天体旋转关系模型,表示小天体在相机坐标系中的姿态变化;然后定义小天体旋转的状态方程,推到了扩展卡尔曼滤波器的计算过程.通过对观测图像序列上的特征点跟踪,利用扩展卡尔曼滤波器方法得到小天体旋转轴指向和自转角速度估计.实验中,在仿真相机与小天体相机100 km距离上,分析了相机坐标系小天体坐标系之间的四元数初值,图像上特征点跟踪精度,相机的观测指向等因素对小天体旋转参数估计精度的影响.实验结果表明,提出的基于图像特征点跟踪和扩展卡尔曼滤波器的小天体旋转参数估计方法能够得到具有较高精度的估计结果.     

飞机高升力系统扭力管旋转角度测试方法

在飞机地面模拟试验环境下需要测试高升力系统襟翼扭力管旋转角度.由于扭力管属于系统试验件,在不改变试验环境构型的情况下不可截断或更换安装用于测试扭力管旋转角度的旋转编码器.本文利用同步轮法实现了在不破坏扭力管前提下安装旋转编码器测试扭力管旋转角度,方法简单、可靠,且容易实现,很好的满足了试验大纲要求.     

一种圆锥运动条件下的等效旋转矢量算法研究

传统旋转矢量姿态算法一般采用陀螺的角增量信号来构造积分算法,当应用于输出为角速率的光纤陀螺捷联系统时,通过角速率提取角增量,算法会损失一定精度。提出了一种以陀螺角速率信号与角增量信号同时作为输入的改进旋转矢量姿态算法,进一步补偿了圆锥误差,提高了计算精度。仿真结果表明,该算法与传统二子样算法相比较,计算量相当,姿态精度、速度精度、位置精度有大幅度的提升。