刚体力学

This course introduces basic knowledge of Analytical Mechanics and theory of movement stability, and focuses on dynamics knowledge related tightly with engineering technique such as orbit moment in central gravitation field, electromechanical coupling dynamics, rigid-body dynamics, gyroscopic dynamics, manipulator dynamics et al.

本课程较系统地叙述了分析力学和运动稳定性理论的基础知识，着重介绍与工程技术密切相关的动力学知识，如中心引力场中的轨道运动、机电耦合系统动力学、刚体动力学与陀螺力学、机械臂的动力学分析方法。

The collisions of rigid bodies is a classical problem, however, the coefficient of restitution is used in the conventional researches to study this problem. The authors present a new way for this kind of problem. A theory of the collision between two rigid bodies in two dimensions, taking account of friction, is proposed according the Newton first law. And the shortages of former researchers are justified.

刚体碰撞是力学上的一个经典问题，但目前大都采用给定恢复系数进行分析的方法，本文则直接从两刚体碰撞时Newton第二定律出发，建立了计及摩擦的两刚体碰撞基本理论，并指出了以往研究通过给定恢复系数方法的错误之处。

The method and step of physical movement simulation of rigid body in real time are stated with geostatics and computer technology.

将刚体力学与计算机技术相结合，介绍了对刚体约物理运动进行实时模拟的方法和步骤。

The family of quaternions plays a role in quantum physics, geostatics, control theory and peg-top technology. It is important to know and research quaternions as the development of quaternions. Thus the real representation of quaternion matrices has been appeared.

近年来，四元数矩阵在刚体力学，量子力学，控制理论和陀螺技术中的应用日趋重要和广泛，随着上述四元数力学的不断发展，对四元数矩阵的进一步认识和研究就显得越来越重要。

And the conservation laws of moment and momentum are obtained by the combining the tiny element analysis method in continua mechanics with variation principle in analytical mechanics.

论文摘要：本文在建立时变边界挠性体的动力学方程时，将并入的质量对挠性体的作用当作时变边界上的表面力，并将连续介质力学中的微元分析法和分析力学中的变分原理相结合，导出了时变边界的变质量刚体的动量和动量矩矩方程。

According to the combination of the classical friction theory based on Newton geostatic and Eulers formula and modern dynamics analyses of belt conveyor, this paper put up particular mechanics analyzing toward unsteady predicament of belt conveyor.

本文基于牛顿刚体力学、欧拉公式为基础的经典摩擦传动理论和现代输送机动态分析相结合的方法，对于带式输送机的非稳定状态进行了详细的力学分析。

Matrices, Vector and Vector Calculus, Newtonian Mechanics-single Particle, Oscillations, Nonlinear Oscillations and Chaos, Gravitation, Some Methods in the Calculus of Variations, Hamilton's Principles Lagrangian and Hamiltonian Dynamics, Central-Force Motion, Dynamics of a System of Particles, Motion in a Noninertia Reference Frame, Dynamics of Rigid Body.

矩阵和向量的计算、单一质点的牛顿力学、线性与非线性的振动运动、重力、微积分上的变分法介绍、哈密顿原理、拉氏及哈氏力学、连心力下的运动、质点系的运动力学、在非惯性坐标中的运动、刚体的运动。

Because of Its wide-ranging connection with many applied science, such as the quantum physics, geostatic, the figure and pattern recognition and the space telemetry and so forth, the research in quaternion algebra is valuabe.

四元数在众多的应用问题中存在广泛的联系，如四元数在量子力学，刚体力学方面的应用，在计算机图形图像处理和识别方面的应用，在空间定位方面的应用等。

But the rigid body limit equilibrium method can not reflect the process of progressive instability and mechanical mechanism on failure for rock mass while the nonlinear finite element method is difficult to solve the displacement discontinuity of weak structural plane.

重力坝的深层抗滑稳定分析多采用刚体极限平衡分析方法和非线性有限元法，但通常的刚体极限平衡法不能反映坝基岩体渐近失稳过程和破坏的力学机制，非线性有限元法则难以解决坝基中软弱结构面位移不连续问题。

The basis of static, flat汇交system of forces, torque and couple Department of plane, plane general system of forces, center of gravity and centroid, the internal force and internal force diagram, tension and compression, torsion, bending, stress analysis and strength of the theory of the stability bar , the point of movement, the basic rigid-body movement, points of complex, rigid body planar motion, the movement of particle differential equations, dynamic general theorem, static and dynamic method.

静力学基础、平面汇交力系、力矩与平面力偶系、平面一般力系、重心和形心、内力和内力图、拉伸和压缩、扭转、弯曲、应力状态分析和强度理论、压杆的稳定性、点的运动、刚体的基本运动、点的复合运动、刚体的平面运动、质点的运动微分方程、动力学普遍定理、动静法。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷