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Dynamic response of spinning tapered Timoshenko beams using modal reduction

Dynamic response of spinning tapered Timoshenko beams using modal reduction
Dynamic response of spinning tapered Timoshenko beams using modal reduction
A method for dynamic response analysis of spinning tapered Timoshenko beams utilizing the finite element method is developed. The equations of motion are derived to include the effects of Coriolis forces, shear deformation, rotary inertia, hub radius, taper ratios and angular setting of the beam. Modal transformations from the space of nodal coordinates to the space of modal coordinates are invoked to alleviate the problem of large dimensionality resulting from the finite element discretization. Both planar and complex modal transformations are presented and applied. The reduced order modal form of equations of motion is computer generated, integrated forward in time, and the system dynamic response is evaluated. Numerical results and comparisons with the full order model (FOM) are presented to demonstrate the accuracy of the reduced order model (ROM).
dynamic response analysis, timoshenko beams, modal reduction
0168-874X
199-219
Bazoune, A.
889b6a2a-d1da-49dd-b534-f497f39ca03f
Khulief, Y.A.
62812e4d-6846-4e03-bff5-0de5c0ebff2f
Stephen, N.G.
af39d0e9-b190-421d-86fe-28b793d5bca3
Mohiuddin, M.A.
59d8106a-d229-46bd-9309-a5d4d86341fb
Bazoune, A.
889b6a2a-d1da-49dd-b534-f497f39ca03f
Khulief, Y.A.
62812e4d-6846-4e03-bff5-0de5c0ebff2f
Stephen, N.G.
af39d0e9-b190-421d-86fe-28b793d5bca3
Mohiuddin, M.A.
59d8106a-d229-46bd-9309-a5d4d86341fb

Bazoune, A., Khulief, Y.A., Stephen, N.G. and Mohiuddin, M.A. (2001) Dynamic response of spinning tapered Timoshenko beams using modal reduction. Finite Elements in Analysis and Design, 37 (3), 199-219. (doi:10.1016/S0168-874X(00)00030-5).

Record type: Article

Abstract

A method for dynamic response analysis of spinning tapered Timoshenko beams utilizing the finite element method is developed. The equations of motion are derived to include the effects of Coriolis forces, shear deformation, rotary inertia, hub radius, taper ratios and angular setting of the beam. Modal transformations from the space of nodal coordinates to the space of modal coordinates are invoked to alleviate the problem of large dimensionality resulting from the finite element discretization. Both planar and complex modal transformations are presented and applied. The reduced order modal form of equations of motion is computer generated, integrated forward in time, and the system dynamic response is evaluated. Numerical results and comparisons with the full order model (FOM) are presented to demonstrate the accuracy of the reduced order model (ROM).

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Published date: 2001
Keywords: dynamic response analysis, timoshenko beams, modal reduction

Identifiers

Local EPrints ID: 21833
URI: https://eprints.soton.ac.uk/id/eprint/21833
ISSN: 0168-874X
PURE UUID: 35d8d1bd-e2f3-4d15-96af-9b0be5e4afad

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Date deposited: 14 Mar 2006
Last modified: 19 Jul 2019 19:12

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Contributors

Author: A. Bazoune
Author: Y.A. Khulief
Author: N.G. Stephen
Author: M.A. Mohiuddin

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