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2015 | OriginalPaper | Chapter

4. Euler Angles, Bryant Angles and Euler Parameters

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Abstract

This chapter deals with the different approaches for describing the rotational coordinates in spatial multibody systems. In this process, Euler angles and Bryant angles are briefly characterized. Particular emphasis is given to Euler parameters, which are utilized to describe the rotational coordinates in the present work. In addition, for all the types of coordinates considered in this chapter, a characterization of the transformation matrix is fully described.

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Literature
go back to reference Goldstein H (1980) Classical mechanics, 2nd edn. Addison-Wesley, Reading Goldstein H (1980) Classical mechanics, 2nd edn. Addison-Wesley, Reading
go back to reference Landau LD, Lifschitz EM (1976) Mechanics, 3rd edn. Pergamon Press, Oxford Landau LD, Lifschitz EM (1976) Mechanics, 3rd edn. Pergamon Press, Oxford
go back to reference Nikravesh PE (1988) Computer-aided analysis of mechanical systems. Prentice Hall, Englewood Cliffs, New Jersey Nikravesh PE (1988) Computer-aided analysis of mechanical systems. Prentice Hall, Englewood Cliffs, New Jersey
go back to reference Schiehlen W (1990) Multibody systems handbook. Springer, Berlin Schiehlen W (1990) Multibody systems handbook. Springer, Berlin
go back to reference Shabana AA (1989) Dynamics of multibody systems. Wiley, New York Shabana AA (1989) Dynamics of multibody systems. Wiley, New York
Metadata
Title
Euler Angles, Bryant Angles and Euler Parameters
Author
Paulo Flores
Copyright Year
2015
DOI
https://doi.org/10.1007/978-3-319-16190-7_4

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