Derivation of the coupled equations of motion for a circular ring rotating about an axis in the plane of the ring

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The coupled equations of motion for a circular ring or circular ring segment are developed for the case where the ring is rotating about an axis in its plane and subjected to an angular velocity as well as an angular acceleration. Coupling results from bending in and out of the plane of the ring as well as from extension and torsion of the ring. These equations are then applied to special cases to determine the coupled equations of motion for a ring, beam and cable rotating at a constant angular speed. Coupled equations of motion for a non-rotating circular ring ... continued below

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74 p.

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Benedetti, G.A. March 1, 1996.

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This report is part of the collection entitled: Office of Scientific & Technical Information Technical Reports and was provided by UNT Libraries Government Documents Department to Digital Library, a digital repository hosted by the UNT Libraries. It has been viewed 31 times , with 5 in the last month . More information about this report can be viewed below.

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The coupled equations of motion for a circular ring or circular ring segment are developed for the case where the ring is rotating about an axis in its plane and subjected to an angular velocity as well as an angular acceleration. Coupling results from bending in and out of the plane of the ring as well as from extension and torsion of the ring. These equations are then applied to special cases to determine the coupled equations of motion for a ring, beam and cable rotating at a constant angular speed. Coupled equations of motion for a non-rotating circular ring or circular ring segment are developed for the cases of extensional motion and inextensional motion. These equations are subsequently linearized and uncoupled for extensional and inextensional motion in the plane of the ring as well as for uncoupled motion out of the plane of the ring. The critical angular speed for lateral dynamic instability is determined for a rotating circular shaft which supports several rotating circular ring segments.

Physical Description

74 p.

Notes

OSTI as DE96006555

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  • Other Information: PBD: [1996]

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  • Other: DE96006555
  • Report No.: SAND--96-8210
  • Grant Number: AC04-94AL85000
  • DOI: 10.2172/204264 | External Link
  • Office of Scientific & Technical Information Report Number: 204264
  • Archival Resource Key: ark:/67531/metadc669059

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

Office of Scientific and Technical Information (OSTI) is the Department of Energy (DOE) office that collects, preserves, and disseminates DOE-sponsored research and development (R&D) results that are the outcomes of R&D projects or other funded activities at DOE labs and facilities nationwide and grantees at universities and other institutions.

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  • March 1, 1996

Added to The UNT Digital Library

  • June 29, 2015, 9:42 p.m.

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  • Nov. 30, 2015, 7:04 p.m.

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Benedetti, G.A. Derivation of the coupled equations of motion for a circular ring rotating about an axis in the plane of the ring, report, March 1, 1996; United States. (digital.library.unt.edu/ark:/67531/metadc669059/: accessed November 24, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.