A rigid body is an idealized model of an object that does not deform or change shape. A rigid body, (RB), is by definition an object with the property that the distance between every pair of points of the body is constant: $$\\\forall \\\,\\\,\\\,A,B \\\in (RB)\\\Longri...
PLANAR RIGID BODY MOTION (continued) Section 12.2 Rigid-body Motion: Translation The positions of two points A and B on a translating body can be related by rB = rA + rB/A where rA & rB are the absolute position vectors defined from the fixed x-y coordinate system, and rB/A is the...
Kinematics of a Rigid Body and Rigid Body Systemsdoi:10.1016/B978-1-78548-231-1.50004-7Dominique P. ChevallierJean LerbetMulti-Body Kinematics and Dynamics with Lie Groups
1.3 that the radius R of the wheel and the length L of the hinged rod did not vary with time. These are typical examples of rigid bodies whose motions will be investigated in this chapter. The kinematics of a rigid body in general motion in space will be studied. The main objective ...
of the relation existing between the forces acting on a body, the mass distribution of the body, and the motion of the body. It is used to predict the motion caused by given forces or to determine the forces required to produce a given motion. Rigid Body Dynamics K. Craig 5 Basic ...
bodies: relations between time and the positions, velocities, and accelerations of the particles forming a rigid body. rectilinear translation translation: curvilinear translation Classification of rigid body motions: rotation about a fixed axis general plane motion motion about a fixed point general ...
as observed in the laboratory during rotation. The stretching of this line (which may coincide with a metric standard) implies a nonstatic metric of the rotating body. From hypothesized group properties of angular velocity TAKENO (3) infers a similar result with a : ?89 and ROSEN (1) and...
of two major disciplines, first recognized as separate entities by Euler∗ in 1765 [2]:† The investigation of the motion of a rigid body may be conveniently separated into two parts, one,geometrical, and the other mechanical. In the first part, the transference of the body from a ...
Sample problems Determine the degrees of freedom of the following mechanisms. In the spatial system, the configuration of a rigid body is identified 2 Dynamic Analysis of Mechanical Systems Kinematics The Diamond robot The bicept robot The A3 head 3 Dynamic Analysis of Mechanical Systems Kinematics ...
According to the principle of rigid body kinematics three-dimensional motion of light marks were calculated and the kinematic characteristics of the whole lumbar spine were obtain. 通过平行光测量系统,将每个椎体上三个标志点的运动投影到光屏上,以摄象机动态记录并输入计算机图象处理系统进行数据处理,同时运...