Open AccessOptimization and software-numerical implementation of miller's algorithm on a four-frequency model of solid vibration movement
Author(s) -
Irina Homozkova,
Yuriy Аndriyovych Plaksiy
Publication year - 2021
Publication title -
vestnik nacionalʹnogo tehničeskogo universiteta "hpi". dinamika i pročnostʹ mašin
Language(s) - English
Resource type - Journals
ISSN - 2078-9130
DOI - 10.20998/2078-9130.2021.2.244088
Subject(s) - quaternion , orientation (vector space) , algorithm , basis (linear algebra) , representation (politics) , software , set (abstract data type) , vibration , motion (physics) , conical surface , trajectory , mathematics , computer science , geometry , physics , acoustics , computer vision , astronomy , politics , political science , law , programming language
On the basis of a programmed-numerical approach, new values of the coefficients in the Miller orientation algorithm are obtained. For this, an analytical reference model of the angular motion of a rigid body was applied in the form of a four-frequency representation of the orientation quaternion.The numerical implementation of the reference model for a given set of frequencies is presented in the form of constructed trajectories in the configuration space of orientation parameters. A software-numerical implementation of Miller's algorithm is carried out for different values of the coefficients and the values of the coefficients are obtained, which optimize the error of the accumulated drift. It is shown that for the presented reference model of angular motion, Miller's algorithm with a new set of coefficients provides a lower computational drift error compared to with the classic Miller algorithm and the Ignagni modification, which are optimized for conical motion.