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Euler Orientation Cosine Matrix and its Application in Mechanical Engineering

Junyan Zhao

Abstract

Some conceptions and the correspoinding equation is put forward,such as Euler vector,Euler orientation cosine matrix and Euler switch orientation cosine matrix.Finally examples of its application in the mechanical engineering calculation is given,compared with the traditional orientation cosine matrix Euler Orientation Cosine Matrix is simple in calculative course.

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Available abstract

Key concepts: Trigonometric functions, Direction cosine, Orientation (vector space), Euler's formula, Euler angles, Discrete cosine transform, Matrix (chemical analysis), Mathematics