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通过对质点圆周运动与刚体定轴转动的对比研究,将刚体的转动惯量的概念引入到质点曲线运动的研究中,以简化质点曲线运动的分析和处理过程. 相似文献
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本文详细讨论了试件在空间六个自由度中产生刚体运动时所形成的云纹图特性,定量地分析了各种刚体运动形式对云纹干涉法的影响。经分析表明:在用云纹干涉法测量变形位移场时,只有当试件绕坐标轴刚体转动时才会影响所测变形位移场。 相似文献
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在紧密结合的分子动力学基础上,对具有D2h对称性的Na4团簇的热力学行为随温度的变化进行了研究。发现在T>200K时,Na4团簇产生一种新的运动模式—赝转动。通过研究赝转动时团簇系统热能的变化,提取了Na4发生赝转动的势垒为0.023eV 相似文献
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指出作定轴转动的刚体,对轴上不同的点量矩一般是不同的,进而给出了对轴上任意两点的动量矩之间的关系,并说明其应用。 相似文献
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数字剪切散班干涉术中的刚体位移补偿的新方法 总被引:1,自引:0,他引:1
给出一个数字剪切散斑干涉术中的刚体位移补偿的新方法。当刚体位移大于一个像素时,加载前后的散斑图将会由于位置的变化导致失相关。重新安排每一个像素将会克服此失相关。散斑平均、条纹重构以及迭代方法用来改善条纹质量,消除散斑噪声,最后得到可取结果。 相似文献
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Hirokazu Nishimura 《International Journal of Theoretical Physics》2002,41(6):1165-1190
Classical vector analysis is rife with geometric and physical ideas, but appears precarious from a modern viewpoint of pure mathematics. Modern vector analysis with differential forms is surely up to the contemporary standard of mathematical rigor, but geometric ideas are completely lost in the bulk of dull calculations. The main goal in this paper is to show that synthetic differential geometry, which has replenished differential geometry with nilpotent infinitesimals, can mathematically sanitize classical vector analysis by eradicating its total confusion between approximate calculations and infinitesimal calculations, thereby helping it retrieve mathematical rigor. 相似文献
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Clifford代数很值得在物理学中推广 总被引:2,自引:1,他引:1
Clifford代数(几何代数或多重矢运算)比通常数学工具诸如矢量、张量、旋量及外微分形式有很多优越性。作为介绍性章这里选取刚体转动及放置参考系作为例子,以展示此种数学工具的优越性。中基本的几何代数运算及两个例子很容易在一般力学课程中讲授。 相似文献
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介绍一种演示仪,在刚体转动瞬心位置装有绘画笔,当刚体转动时带动画笔画出空间极迹和本体极迹,而且能演示瞬心和极迹三之间的动态关系。 相似文献
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Mangilal Choudhary Roman Bergert Sandra Moritz Slobodan Mitic Markus H. Thoma 《等离子体物理论文集》2021,61(1):e202000110
The collective dynamics of an annulus dusty plasma formed between a co-centric conducting (non-conducting) disk and ring configuration is studied in a strongly magnetized radiofrequency (rf) discharge. A superconducting electromagnet is used to introduce a homogeneous magnetic field to the dusty plasma medium. In the absence of the magnetic field, the dust grains exhibit thermal motion around their equilibrium position. The dust grains start to rotate in the anticlockwise direction with increasing magnetic field (B > 0.02 T ), and the constant value of the angular frequency at various strengths of the magnetic field confirms the rigid body rotation. The angular frequency of dust grains linearly increases up to a threshold magnetic field (B > 0.6 T ) and after that its value remains nearly constant in a certain range of magnetic field. Further increase in magnetic field (B > 1 T ) lowers the angular frequency. Low value of the angular frequency is expected by reducing the width of the annulus dusty plasma or the input rf power. The azimuthal ion drag force due to the magnetic field is assumed to be the energy source which drives the rotational motion. The resultant radial electric field in the presence of a magnetic field determines the direction of rotation. The variation of floating (plasma) potential across the annular region at given magnetic field explains the rotational properties of the annulus dusty plasma in the presence of a magnetic field. 相似文献
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In this paper, we investigate codings and dynamics of the piecewise rotations belonging to a sub-class of piecewise isometries. We show that the irrational set is empty for some piecewise rational rotations under some assumptions, while a piecewise irrational rotation has at least one irrational coding by extending the definition of the coding map onto the entire phase space. We further prove that the cell corresponding to irrational coding is a single point set for a piecewise irrational rotation. 相似文献
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基于图像的三维刚体运动估计算法比较 总被引:5,自引:2,他引:5
基于图像特征点对应估计三维刚体运动是计算机视觉的一个基本问题。对四种常用的运动估计算法,包括基于三维特征点的奇异值分解法、正交分解法、单位四元数法和基于二维特征点的"8点算法",通过大量仿真实验和一个机载目标运动光测系统进行了精度,稳定性和效率的比较。结论表明,基于三维特征的算法比基于二维特征的算法精度高、稳定性好,效率高。其中在基于三维特征的算法中,奇异值分解法效率更高,单位四元数法稳定性更好,在基于二维特征的算法中采用非线性优化是必须的,而增加特征点数和降低噪声水平对四种算法都能提高精度。讨论了这些结论对解决实际问题的作用。 相似文献
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测量物体位移的数字白光散斑照相术 总被引:1,自引:1,他引:1
给出了一测量物体刚体位移的数字白光散斑照相术。数字傅里叶变换从双曝光字白光散斑图用来产生杨氏条纹。该杨氏条纹能够用数字傅里叶变换结合条纹重构进行自动分析。此外,给出一种条纹质量增强的方法。 相似文献