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090			_aB-17227
245	1	0	_aAn excursion into large rotations
490	0		_vComputer Methods in Applied Mechanics and Engineering, 32(1-3), p.85-155, 1982
520	3		_aThe present discourse develops an enlarged exploration of the matrix formulation of finite rotations in space initiated in [1]. It is shown how a consistent but subtle matrix calculus inevitably leads to a number of elegant expressions for the transformation or rotation matrix T appertaining to a rotation about an arbitrary axis. Also analysed is the case of multiple rotations about fixed or follower axes. Particular attention is paid to an explicit derivation of a single compound rotation vector equivalent to two consecutive arbitrary rotations. This theme is discussed in some detail for a number of cases. Semitangential rotations-for which commutativity holds-first proposed in [2, 3]are also considered. Furthermore, an elementary geometrical analysis of large rotations is also given. Finally, we deduce in an appendix, using a judicious reformulation of quarternions, the compound pseudovector representing the combined effect of n rotations. In the author's opinion the present approach appears preferable to a pure vectorial scheme-and even more so to an indicial formulation- and is computationally more convenient.
650	1	4	_aDYNAMICS
700	1	2	_aArgyris, J.
856	4	0	_uhttps://drive.google.com/file/d/1bl8jrMJ--qWfbto9sgYEYut5RNInygVP/view?usp=drivesdk _zPara ver el documento ingresa a Google con tu cuenta: @cicy.edu.mx
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