柯尼希定理的实验研究

介绍了刚体平面平行运动中的柯尼希定理的验证实验,并用三种不同形状的刚体验证了柯尼希定理。     

利用刚体的平面平行运动证明平行轴定理

平行轴定理是刚体转动部分的重要知识点,从刚体的平面平行运动模型出发,通过分析刚体运动的总动能的形式,给出了平行轴定理的一种新的证明思路.     

刚体转动实验新测量方法的研究

本实验是用转动惯量实验仪和电脑计时、计速仪来测量数据，用转动定律和平行移动轴定理推导新的线性方程，再用方程中的自变量和变量关系进行画图，成一条斜直线，从而间接地验证了转动定律和平行移轴定理成立，计算出转动惯量的大小。这种测量方法可达到国内较高的测量水平。与原来的测量方法相比，可消除较大部分系统误差和偶然误差，使数据接近真值，测量方便，重复性好，节省时间，效率高，可实现设备资源共享，可以解决实际问题。     

柯尼希定理运用于两体问题的讨论

本文特别指明,应用柯尼希定理处理系统动能时,首要意义是将系统动能分为系统整体的质心动能和系统内部的有效动能,在这样的认识下运用柯尼希定理,其方法意义才得以充分体现.     

用扭摆验证转动惯量平行轴定理的新方法

提出利用扭摆验证转动惯量平行轴定理的两种简单易行的新方法,并通过实验证明了该方法的可行性.     

扭摆法验证平行轴定理实验的改进

转动惯量是物体定轴转动中的重要物理量,物体的转动惯量测量的常用方法有三线摆法与扭摆法。扭摆法通常测量物体通过质心转轴的转动惯量,所以用扭摆法验证平行轴定理一直不怎么直观,本文就是在已有的基础上进行一些改进,已达到更好、更直观验证平行轴定理。     

转动惯量平行轴定理验证实验的改进方案

本文介绍了一种刚体转动惯量平行轴定理验证实验的改进方案.该方案通过调节对称放置在承物台上的两个钢柱到仪器转轴的距离来改变系统的转动惯量,使得总转动惯量可以在较大的范围内改变,并且始终保持了系统质量的对称性分布,从而有效地减小了实验的相对误差,提高了实验结果的可信度.     

用三线摆研究垂直轴定理

用三线摆对刚体薄圆盘绕不同轴转动时的转动惯量进行测量,通过实验与数据分析,验证了反映刚体转动惯量重要性质的垂直轴定理,从而实现了对刚体转动惯量实验内容的扩充.     

用推广的Maxwell速度分布律证明转动、振动方式能均分定理

将描述分子平动速度分布的Maxwell速度分布律推广到转动和振动方式,并用推广的Maxwell分布律成功地证明了转动、振动方式的能均分定理．     

Time evolution of average rotation axis directions and mean rotation angles of pressurized liquid methyl iodide by molecular dynamics simulation

The rotational motion of liquid methyl iodide has been modelled by molecular dynamics simulations under input parameters optimized from literature values to yield the experimental enthalpy of vaporization and permanent dipole moment of the molecule. First, it is shown that results describing the correlation function of the tumbling motion of the molecules agree reasonably well with some corresponding findings from a spectroscopic Raman study. Second, the rotational motion involving the spinning component around the molecule's symmetry axis was simulated, an effect inaccessible by experiment. Third, and most relevant to the author's interests, a group-theoretical formalism was used that generates the time evolution of the average direction of the average rotation axis as well as the mean rotation angle around it. This approach allowed a more realistic understanding of the effects of density and temperature on molecular rotational motion, as well as a better quantification of the influence of short-time inertial decay, than the common approach of studying orientational correlation data along permanently molecule-fixed axis directions. Fourth, site–site radial distribution functions between neighbouring molecules were simulated, establishing a shielding effect that prevents a carbon atom from approaching any other site by their closest distance.     

也谈转动和振动的概率分布与能均分定理的证明

严格推导出分子转动角速度、振动位移概率分布,指明三种概率分布并不局限于近独立子系,它们适用于有相互作用的很多系统。     

切变模量和转动惯量实验的改进

设计了一种基于垂直轴定理的新型吊钩,对切变模量和转动惯量实验进行了改进,使之成为既可测定金属丝切变模量和环、柱等刚体的转动惯量,又可验证反映转动惯量重要性质的平行轴定理及垂直轴定理的多功能实验仪.     

Characteristics of Friedel pairs and diffraction contrast tomography with non‐perpendicular rotation axis

The characteristics of Friedel pairs in diffraction contrast tomography (DCT) are studied in the condition that the rotation axis of the sample is not exactly perpendicular to the incident X‐ray direction. For the rotation axis approximately aligned along the vertical direction, the Friedel pairs close to the horizontal plane are insensitive to the non‐perpendicularity of the rotation axis, and can be used to refine the sample‐to‐detector distance and X‐ray energy, while the Friedel pairs close to the vertical direction are sensitive to the non‐perpendicularity of the rotation axis, and can be used to determine the rotation axis orientation. The correct matching proportion of Friedel pairs decreases with increasing non‐perpendicularity of the rotation axis. A method of data processing considering rotation axis misalignment is proposed, which significantly increases the correct matching and indexing proportions of the diffraction spots. A pure aluminium polycrystalline sample is investigated using DCT at beamline 4W1A of Beijing Synchrotron Radiation Facility. Based on the analysis of Friedel pairs, the sample‐to‐detector distance and X‐ray energy are refined to be 8.67 mm and 20.04 keV, respectively. The non‐perpendicular angle of the rotation axis is calculated to be 0.10°. With these refined geometric parameters, the matching proportion of the spatial position of diffraction spots is 90.62%. Three‐dimensional reconstruction of the sample with 13 grains is realised using the algebraic reconstruction technique. It is demonstrated that the precise correction of the orientation of the sample rotation axis is effective in DCT suffering from rotation axis misalignment, and the higher accuracy in determining the rotation axis is expected to improve the reconstruction precision of grains.     

等效原理和互易性定理在两个相邻球形目标电磁散射中的应用

基于等效原理和互易性定理研究了两个相邻目标的电磁散射问题，给出了这一复合电磁散射模型的二阶散射结果. 通常平面入射波的一阶散射结果容易求解，但由于耦合效应的复杂性，很难给出二阶散射结果的解析形式. 应用互易性定理给出了求解任意相邻导体/介质目标二阶电磁散射场的公式，并利用等效原理将求解散射场公式中的体积分简化为面积分的形式，从而降低了求解难度. 同时还推导了两个目标的二次散射场之间的关系. 最后应用给出的公式，求解了两相邻球形目标的复合散射场，对双站散射结果进行了讨论，同时与应用时域积分方程法求得的结果进行了比较. 关键词： 等效原理 互易性定理 电磁散射 相邻圆球     

磁旋光增强效应与旋光增强器特性分析

根据法拉第磁光效应的非互易性,分析了旋光反射腔的光强输出特性,表明这种反射腔具有旋光增强效应.在此基础上提出了用于检测微小旋转角的旋光增强法,并对旋光增强器的特性进行了理论分析和仿真计算.给出了测量灵敏度随器件反射率、样品吸收因素及一次旋光角变化的关系,讨论了角度测量工作点、测量范围以及相对灵敏度理论极限问题.旋光增强器有望应用于微流控系统的旋光检测以及实现磁旋光仪器的小型化和微型化. 关键词： 法拉第磁光效应 磁旋光增强 微小旋光角检测 微流控系统