Euler Parameters in Computational Kinematics and Dynamics. Part 1

1985 ◽  
Vol 107 (3) ◽  
pp. 358-365 ◽  
Author(s):  
P. E. Nikravesh ◽  
R. A. Wehage ◽  
O. K. Kwon

This paper presents useful and interesting identities between Euler parameters and their time derivatives. Using these identities, kinematic constraints and equations of motion for constrained mechanical systems are derived. These equations can be developed into a computer program to systematically generate all of the necessary equations to model mechanical systems. The compact form of these equations makes it possible to develop a general-purpose computer program for dynamic analysis of mechanical systems suitable for operation on small computers with limited memory space.

AIAA Journal ◽  
1973 ◽  
Vol 11 (3) ◽  
pp. 278-282 ◽  
Author(s):  
GEORGE DAILEY ◽  
WILLIAM C. CAYWOOD ◽  
JAMES S. O'CONNOR

Author(s):  
S. R. Shapiro ◽  
M. J. Caddy

A general purpose computer program is described which permits rapid design point and off-design performance analyses of air breathing engines. The modular approach used in building the over-all program allows analysis of many engine configurations including multi-stream, multi-nozzle, augmented engines, shaft engines and ramjets. The program may be operated with or without component maps. The result is a computational tool that can be used to perform independent analyses of an engine manufacturer’s product as well as provide engine performance data for use in engine-airframe design and integration studies.


1985 ◽  
Vol 107 (4) ◽  
pp. 488-492 ◽  
Author(s):  
C. O. Chang ◽  
P. E. Nikravesh

The transient dynamic analysis of equations of motion for constrained mechanical systems requires the solution of a mixed set of algebraic and differential equations. A constraint violation stabilization method, based on feedback control theory of linear systems, has been suggested by some researchers for solving these equations. However, since the value of damping parameters for this method are uncertain, the method is to some extent unattractive for general-purpose use. This paper presents an adaptive mechanism for determining the damping parameters. The results of the simulation for two examples illustrate the improvement in reducing the constraint violations when using this method.


Author(s):  
D. N. I. Ibbetson

The requirements to be fulfilled by the equipment used to control letter coding and sorting equipment in a modern sorting office are summarized and a method of using a general purpose computer for these purposes is described. Emphasis is given to the use of a magnetic drum to reduce the cost of core store and to the method of organizing the computer program. The ability of the computer to undertake secondary tasks and the constraints imposed by the requirement of high reliability are mentioned.


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