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Eight definitions for spatial rotations and their implications in the second-order analysis of space frames

Report


Type Of Work

  • Report

Abstract

  • Although it is widely recognised by structural researchers that sequential rotations about axes fixed in space are not commutative, there prevails confusion in the literature about different definitions of rotations and different rotational parameters employed in handling compound spatial rotations. Different definitions of rotations or different parameters have been referred to by the same name and vice versa, and computation algorithms that are valid for certain types of rotation have been applied indiscriminately. Some researchers misunderstand the relationships between rotations and moments in space, and others fail to grasp the implications of certain types of rotation in the second-order analysis of space frames. The present work describes eight definitions for spatial rotations and points out their implications in the second-order analysis of space frames subjected to conservative loads. A redefinition of semi-tangential rotations as vectorial rotations is also proposed.

Publication Date

  • 1996

Citation

  • Teh, L. H., & Clarke, M. J. (1996). Eight definitions for spatial rotations and their implications in the second-order analysis of space frames: Research Report - University of Sydney, School of Civil and Mining Engineering.

Scopus Eid

  • 2-s2.0-0030173981

Web Of Science Accession Number

Book Title

  • Research Report - University of Sydney, School of Civil and Mining Engineering

Start Page

  • 1

End Page

  • 37

Issue

  • 726

Type Of Work

  • Report

Abstract

  • Although it is widely recognised by structural researchers that sequential rotations about axes fixed in space are not commutative, there prevails confusion in the literature about different definitions of rotations and different rotational parameters employed in handling compound spatial rotations. Different definitions of rotations or different parameters have been referred to by the same name and vice versa, and computation algorithms that are valid for certain types of rotation have been applied indiscriminately. Some researchers misunderstand the relationships between rotations and moments in space, and others fail to grasp the implications of certain types of rotation in the second-order analysis of space frames. The present work describes eight definitions for spatial rotations and points out their implications in the second-order analysis of space frames subjected to conservative loads. A redefinition of semi-tangential rotations as vectorial rotations is also proposed.

Publication Date

  • 1996

Citation

  • Teh, L. H., & Clarke, M. J. (1996). Eight definitions for spatial rotations and their implications in the second-order analysis of space frames: Research Report - University of Sydney, School of Civil and Mining Engineering.

Scopus Eid

  • 2-s2.0-0030173981

Web Of Science Accession Number

Book Title

  • Research Report - University of Sydney, School of Civil and Mining Engineering

Start Page

  • 1

End Page

  • 37

Issue

  • 726