Dynamic analysis of a spinning Timoshenko beam by the differential quadrature method

Siu Tong Choi, Jiunn Der Wu, Yu Tuan Chou

Research output: Contribution to journalConference article

Abstract

In this paper, the dynamic characteristics of spinning Timoshenko beams are investigated by using the differential quadrature method (DQM). The beams are subject to any combination of free, simply supported, clamped and elastically supported boundary conditions. The weighting matrices in the differential quadrature formulation are modified to incorporate boundary conditions of the beams. Numerical results of spinning Timoshenko beams obtained by the DQM are compared with the exact solutions or results obtained by the finite element method. The results show the high accuracy and efficiency of the differential quadrature method.

Original languageEnglish
Pages (from-to)1699-1706
Number of pages8
JournalCollection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
Volume3
Publication statusPublished - 1999 Jan 1
EventProceedings of the 1999 AIAA/ASME/ASCE/AHS/ASC Structrures, Structural Dynamics, and Materials Conference and Exhibit - St. Louis, MO, USA
Duration: 1999 Apr 121999 Apr 15

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Dynamic analysis
Boundary conditions
Finite element method

All Science Journal Classification (ASJC) codes

  • Architecture
  • Materials Science(all)
  • Aerospace Engineering
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

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abstract = "In this paper, the dynamic characteristics of spinning Timoshenko beams are investigated by using the differential quadrature method (DQM). The beams are subject to any combination of free, simply supported, clamped and elastically supported boundary conditions. The weighting matrices in the differential quadrature formulation are modified to incorporate boundary conditions of the beams. Numerical results of spinning Timoshenko beams obtained by the DQM are compared with the exact solutions or results obtained by the finite element method. The results show the high accuracy and efficiency of the differential quadrature method.",
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AU - Choi, Siu Tong

AU - Wu, Jiunn Der

AU - Chou, Yu Tuan

PY - 1999/1/1

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N2 - In this paper, the dynamic characteristics of spinning Timoshenko beams are investigated by using the differential quadrature method (DQM). The beams are subject to any combination of free, simply supported, clamped and elastically supported boundary conditions. The weighting matrices in the differential quadrature formulation are modified to incorporate boundary conditions of the beams. Numerical results of spinning Timoshenko beams obtained by the DQM are compared with the exact solutions or results obtained by the finite element method. The results show the high accuracy and efficiency of the differential quadrature method.

AB - In this paper, the dynamic characteristics of spinning Timoshenko beams are investigated by using the differential quadrature method (DQM). The beams are subject to any combination of free, simply supported, clamped and elastically supported boundary conditions. The weighting matrices in the differential quadrature formulation are modified to incorporate boundary conditions of the beams. Numerical results of spinning Timoshenko beams obtained by the DQM are compared with the exact solutions or results obtained by the finite element method. The results show the high accuracy and efficiency of the differential quadrature method.

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