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。     

发动机高速动平衡的振动相位分析

针对发动机转子高速动平衡转速波动、无法保证振动信号同步整周期采样的特点,提出了一种基于转速脉冲的振动信号重构技术,大大提高了相量测量的准确度和稳定性。经试验验证,这项技术是有效、可行的。     

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.     

一种基于正弦图的工业CT系统转台旋转中心自动确定方法

构建一个工业CT成像系统,转台旋转中心的确定是非常关键的步骤,其定位误差会引起CT图像上的伪影。本文在详细分析了现存旋转中心确定方法不足的基础上,提出了一种新方法,该方法利用隐含在正弦图中的对称投影信息,并根据经过旋转中心的射线束在两个对称投影视角下透过的物体路径相同这一规律来定位旋转中心。相对现有算法,该方法适用于射线源与旋转中心的连线不严格垂直于探测器的情形,无需使用模体,亦无需知晓任何几何参数,实时且基本不受随机噪声影响。实验数据验证了该方法的有效性。     

直升机旋翼桨叶的弹性碰撞动力学建模

建立了直升机旋翼桨叶弹性正碰撞的动力学模型,采用有限转动梁理论处理桨叶的弹性变形,利用Hertz接触理论处理局部弹性变形,引入位移协调方程识别弹性碰撞载荷,运用Hamilton原理建立了桨叶正碰撞的动力学方程.通过与Timoshenko算例的对比表明了该方法的正确性,且对集中质量与直升机桨叶的弹性正碰撞问题进行了研究.