Title page for etd-0831109-040114


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URN etd-0831109-040114
Author Yen-huei Lee
Author's Email Address pepper@mail2000.com.tw
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Department Marine Environment and Engineering
Year 2008
Semester 2
Degree Master
Type of Document
Language zh-TW.Big5 Chinese
Title Applications of VFIFE method to the Timoshenko beam analysis
Date of Defense 2009-07-24
Page Count 105
Keyword
  • Timoshenko
  • deep beam
  • Abstract In this study, a vector form intrinsic finite element (VFIFE) is derived and applied to study both the static and dynamic responses of deep short beams under dynamic loadings. It is already known that the application of classical beam theory known as Euler’s beam theory to beams with large ratio of D/L (depth/span larger than 1/4), a short-deep beam, may not necessarily obtain satisfactory results for the stress analysis of the beam. One of the main presumptions from the classical Euler’s beam theory is that the plane of the cross-section remains plane and normal to the neutral axis of the beam after deformation. This presumption is no more true when the beam subject to loadings is a short-deep beam because the bending stress is no longer a dominant stress while the other secondary effects may have more severe influences on the mechanical behavior of the beam. This study by utilizing the vector form intrinsic finite element method (VFIFE) to derive a new element for the Timoshenko beam provides an alternative method for the analysis of a short-deep beam, particularly, subject to dynamic loadings. By taking the advantage of the VFIFE that is a time-saving scheme for the dynamic analysis, the element of Timoshenko-beam is derived along with the dynamic solution procedure. The motions in transverse direction and the rotation at each node of the beam are calculated and presented into figures. The results from numerical analysis are also verified with theoretical solution (exact analytical solution) and further compared to the results obtained from traditional finite element method.
    Advisory Committee
  • Ching-tung Cheng - chair
  • Sheng-fu Peng - co-chair
  • Hsien-hua Lee - advisor
  • Files
  • etd-0831109-040114.pdf
  • indicate in-campus access immediately and off_campus access in a year
    Date of Submission 2009-08-31

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