On the Principle of Transference In Three-Dimensional Kinematics

1981 ◽  
Vol 103 (3) ◽  
pp. 652-656 ◽  
Author(s):  
L. M. Hsia ◽  
A. T. Yang
Keyword(s):  
Rigid Body ◽  
Three Dimensional ◽  
Rigid Body Motion ◽  
Body Motion ◽  
Intrinsic Properties ◽  
Numerical Examples ◽  
Systematic Procedure ◽  
Point Trajectories

In this paper, the principle of transference is developed and applied to the establishment of a systematic procedure for the determination, via screw calculus, of a prescribed rigid body motion. This is an essential first step toward the study of the intrinsic properties of point trajectories in three-dimensional kinematics. Two numerical examples are presented for illustrative purposes.

Optimizing spherical navigator echoes for three-dimensional rigid-body motion detection

2005 ◽  
Vol 53 (5) ◽  
pp. 1080-1087 ◽  
Author(s):  
Daniel W. Petrie ◽  
Andreu F. Costa ◽  
Atsushi Takahashi ◽  
Yi-Fen Yen ◽  
Maria Drangova
Keyword(s):  
Rigid Body ◽  
Motion Detection ◽  
Three Dimensional ◽  
Rigid Body Motion ◽  
Body Motion

scholarly journals Three-dimensional phase field sintering simulations accounting for the rigid-body motion of individual grains

2021 ◽  
Vol 186 ◽  
pp. 109963
Author(s):  
Robert Termuhlen ◽  
Xanthippi Chatzistavrou ◽  
Jason D. Nicholas ◽  
Hui-Chia Yu
Keyword(s):  
Rigid Body ◽  
Phase Field ◽  
Three Dimensional ◽  
Rigid Body Motion ◽  
Body Motion ◽  
Individual Grains

scholarly journals Estimation of the Rigid-Body Motion From Three-Dimensional Images Using a Generalized Center-of-Mass Points Approach

2006 ◽  
Vol 53 (5) ◽  
pp. 2712-2718 ◽  
Author(s):  
B. Feng ◽  
P.P. Bruyant ◽  
P.H. Pretorius ◽  
R.D. Beach ◽  
H.C. Gifford ◽  
...  
Keyword(s):  
Rigid Body ◽  
Center Of Mass ◽  
Three Dimensional ◽  
Rigid Body Motion ◽  
Body Motion ◽  
Three Dimensional Images ◽  
Generalized Center

Application of Instantaneous Invariants to the Analysis and Synthesis of Mechanisms

1977 ◽  
Vol 99 (1) ◽  
pp. 97-103 ◽  
Author(s):  
B. Roth ◽  
A. T. Yang
Keyword(s):  
Problem Solving ◽  
Rigid Body ◽  
Rigid Body Motion ◽  
Geometric Constraint ◽  
Body Motion ◽  
Kinematic Synthesis ◽  
Systematic Procedure ◽  
Synthesis Of Mechanisms ◽  
Analysis And Synthesis ◽  
Kinematic Properties

The objective of this paper is to make instantaneous invariants a more accessible tool for problem solving in the field of kinematics. We present a systematic procedure to determine the instantaneous invariants of a rigid body under geometric constraint, develop a process by which kinematic properties of rigid body motion can be expressed in terms of instantaneous invariants, and apply instantaneous invariants to solve typical kinematic synthesis problems. Four examples are given in detail for illustrative purposes.

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