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     A NEW EXPLANATION OF THE RIGID BODY'S MOTION ON THE PLANE
     一类刚体在平面上运动问题新解
短句来源
     New Explanation for Inclined Plane Motion of A Rigid Body & Judgment on Its Movement Conditions
     一类刚体斜面运动新解及其运动状态判定
短句来源
     1). Aimed at a particular variety of satellites with rigid bodies, the control model of the satellites has been given based on Euler method and quaternion and the control law for zero momentum satellites based on the control model has been studied in this paper.
     1) 论文针对一类刚体卫星利用欧拉角法和四元数法进行了建模,给出了这类卫星的控制模型,并针对控制模型进行了零动量卫星姿态控制律的研究,给出了基于工程上成功应用的PID控制律。
短句来源
     In this paper, on the ground of introducing the concepts of locally generalized connected domains and controllable surfaces, we studied some geometric characteristics of rigid domains and quasi-spheres in three space, and discussed some questions of the existence and extension of quasi-isometric mappings in R~n(n≥2).
     在引入广义局部连通性以及可控曲面等概念的基础上,本文研究了空间一类刚体区域的几何特征,并由此导出了拟球面的一个必要条件. 此外对R~n(n≥2)中拟等距映照的扩充及存在性等问题进行了讨论.
短句来源
     This paper deals with the theorem of moment of momentum of relative instantaneous center in planar motion of rigid bodies and it is proved to be highl in certain conditions, thus resulting in the convenience for calculating a kind of problem of planar motion of rigid bodies.
     本文研究了刚体平面运动的相对瞬心的动量矩定理,并论证了在什么条件下它是成立的,从而为求解一类刚体平面运动问题带来方便。
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     C.
     C
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     Application of comparision method in rigid body’s moving teaching
     比法在刚体运动教学中的运用
短句来源
     CC;
     CC
短句来源
     A simple calculation of rotational inertia of a kind of uniform body
     巧算一均质刚体的转动惯量
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     Movement of Rigid Body
     刚体的运动
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  quasi-rigid body
Variational Characterization of a Quasi-rigid Body
      
Thus, although the final deformation is the same for both the rigid body and the rigidly constrained elastic body, the latter corresponds to a richer model and, to emphasize this distinction, we refer to it as a quasi-rigid body.
      
While in equilibrium the pseudo-stress field of a quasi-rigid body will satisfy equations identical to the equilibrium equations for the stress field in the elastic parent theory, such equations are not, in general, sufficient to assure uniqueness.
      
A quasi-rigid body can swim on a manifold with intrinsic curvature through cyclic deformations of shape.
      
Cyclic changes in the shape of a quasi-rigid body on a curved manifold can lead to net translation and/or rotation of the body.
      
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This paper treats of the interesting phenomeon and useful rule of Three Centers'Line in the planar mofion of rigid bodies. It then develops into three methods梩he methods of proportion,of perpendicular and of double circles.A detailed argument on the establishment of a dimensionless rotational parameter A and its unnegligible influences on planar kinematics and dynamics. An elementary discussion on its influence on the spacial dynamics of rigid bodies.(seeappendix)

本文提出了某一类刚体运动中的三心线规律,探讨了此法之某种启示并推证出比例、垂足及双园三种方法。较全面地探讨了设立无量纲转动参数λ的意义,在附录中并附有λ对空间刚体动力学的影响初探。阐述了奠基于本文公式的平刚体各点加速度求法。讨论了有关计算机程序问题。文中联系到此法与惯性力计算及有限元动态分析的关系。与传统法相互对照的两个计算实例相当满意地验证了本文有关结论。三心线法从理论上讲与传统法有很大的区别,其主导精神及核心部份并不倚重在运动学上占据重要位置且渗透到各个方面的复合运动原理而是运用了一种特别的“复合”关系,方便地求出了瞬加心。

In this paper, on the ground of introducing the concepts of locally generalized connected domains and controllable surfaces, we studied some geometric characteristics of rigid domains and quasi-spheres in three space, and discussed some questions of the existence and extension of quasi-isometric mappings in R~n(n≥2).

在引入广义局部连通性以及可控曲面等概念的基础上,本文研究了空间一类刚体区域的几何特征,并由此导出了拟球面的一个必要条件.此外对R~n(n≥2)中拟等距映照的扩充及存在性等问题进行了讨论.

This paper deals with the theorem of moment of momentum of relative instantaneous center in planar motion of rigid bodies and it is proved to be highl in certain conditions, thus resulting in the convenience for calculating a kind of problem of planar motion of rigid bodies.

本文研究了刚体平面运动的相对瞬心的动量矩定理,并论证了在什么条件下它是成立的,从而为求解一类刚体平面运动问题带来方便。

 
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