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Tensor Analysis of Finite Rotations: Applications to Aircraft Manoeuvres, Variable Sweep Wings, Retractable Undercarriages

Aircraft Engineering and Aerospace Technology

ISSN: 0002-2667

Article publication date: 1 May 1958

57

Abstract

The orientation of a rigid body is described by a position‐tensor, composed of three unit vector axes fixed in the body; rotation is effected by tensor transformations in which a rotational operator is a Cartesian matrix, formed from the co‐ordinates of the pivot axis and components of the angle of rotation; rotational sequences are represented by matrix products. Three practical applications are discussed: sequences of aircraft manoeuvres, which include composite rotations of roll and pitch, or roll, pitch and yaw, applied simultaneously; the variation of sweep, incidence and dihedral of a wing moving on any axis fixed in the aircraft; the direction of the pivot axis and the angle of rotation in the motion of a retractable undercarriage between two specified positions.

Citation

Bateman, E.H. (1958), "Tensor Analysis of Finite Rotations: Applications to Aircraft Manoeuvres, Variable Sweep Wings, Retractable Undercarriages", Aircraft Engineering and Aerospace Technology, Vol. 30 No. 5, pp. 126-130. https://doi.org/10.1108/eb032963

Publisher

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MCB UP Ltd

Copyright © 1958, MCB UP Limited

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