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Quaternions – alternative for Euler angles in kinematic analysis of machine mechanisms

Data publikacji: 13.01.2016

Czasopismo Techniczne, 2015, Mechanika Zeszyt 2-M (7) 2015, s. 19 - 26

Autorzy

Tadeusz Czyżewski
Institute of Applied Informatics, Faculty of Mechanical Engineering, Cracow University of Technology
Wszystkie publikacje autora →

Tytuły

Quaternions – alternative for Euler angles in kinematic analysis of machine mechanisms

Abstrakt

The article presents some types of problems that can occur during solving the inverse kinematics and the steps to prevent them. These problems concern the numerical singularities which occur when Euler angles are used to describe the orientation of the mechanism links in space. This paper proposes to eliminate the mentioned numerical singularities by replacing Euler angles with quaternions. The discussed issues were shown on the example of a backhoe excavator equipment system.

Bibliografia

[1] Sariyildiz E., Temeltas H., Solution of inverse kinematic problem for serial robot using quaterninons, Proceedings of the 2009 IEEE International Conference on Mechatronics and Automation, 26-31.

[2] Aydin Y., Kucuk S., Quaternion based inverse kinematics for industrial robot manipulators with Euler wrist, Proceedings of the 2003 IEEE 3rd International Conference on Mechatronics, 581-583.

[3] Wojtyra M., Frączek J., Kinematyka układów wieloczłonowych, Wydawnictwa Naukowo-Techniczne, Warszawa 2008.

[4] Shabana A.A., Computational Dynamics 3rd, John Wiley & Sons Ltd., United Kingdom 2010. [5] Haug E.J., Computer aided kinematics and dynamics of mechanical systems. Volume I: Basic methods, Allyn and Bacon, Massachusetts 1989.

[6] Nikravesh P.E., Computer aided analysis of mechanical systems, Prentice-Hall Inc., New Jersey 1988.

[8] Hamilton W.R., Lectures on quaternions, Hodges and Smith, Dublin 1853.

Informacje

Informacje: Czasopismo Techniczne, 2015, Mechanika Zeszyt 2-M (7) 2015, s. 19 - 26

Typ artykułu: Oryginalny artykuł naukowy

Tytuły:

Polski:

Quaternions – alternative for Euler angles in kinematic analysis of machine mechanisms

Angielski:

Quaternions – alternative for Euler angles in kinematic analysis of machine mechanisms

Autorzy

Institute of Applied Informatics, Faculty of Mechanical Engineering, Cracow University of Technology

Publikacja: 13.01.2016

Status artykułu: Otwarte __T_UNLOCK

Licencja: Żadna

Udział procentowy autorów:

Tadeusz Czyżewski (Autor) - 100%

Korekty artykułu:

-

Języki publikacji:

Angielski

Liczba wyświetleń: 1559

Liczba pobrań: 1982