Vibrations of Spatially Curved and Twisted Beams by Using Finite Element Method
碩士 === 大同工學院 === 機械工程學系 === 84 === In the thesis, the governing equations for the spatially curved and twistedbeam are derived in terms of the displacement functions of three translationaland three rotation degrees of freedom. The equili...
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ndltd-TW-084TTIT04890122016-02-03T04:32:08Z http://ndltd.ncl.edu.tw/handle/77616875565727874403 Vibrations of Spatially Curved and Twisted Beams by Using Finite Element Method 應用有限元素法分析空間具有扭率彎樑之振動 Lee, Yuan-Yu 李元煜 碩士 大同工學院 機械工程學系 84 In the thesis, the governing equations for the spatially curved and twistedbeam are derived in terms of the displacement functions of three translationaland three rotation degrees of freedom. The equilibrium equation and the linearstrain- displacement relations are employed to establish the system of linear partial differential equations for the spatially curved and twisted beam. The time-independence of the displacement functions are assumed in the exponentialform. The systems of linear partial differential equations are thus reduced to be ordinary equations of eigenvalue problem for vibration frequencies. Consi-dering the restriction of boundary condition, a galerkin finite-element methodis used to solve the governing equations for the computation of the natural frequencies. The effects of the torsion and curvature which are in the geome- trically permissible region on the natural frequencies of the spatially curvedand twisted beams are studied. The result shows that the natural frequencies of the curved and twisted beam increase as either the value of torsion or curvature increases in general. Yaw-Dong Shih 史耀東 1996 學位論文 ; thesis 57 zh-TW |
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碩士 === 大同工學院 === 機械工程學系 === 84 === In the thesis, the governing equations for the spatially
curved and twistedbeam are derived in terms of the displacement
functions of three translationaland three rotation degrees of
freedom. The equilibrium equation and the linearstrain-
displacement relations are employed to establish the system of
linear partial differential equations for the spatially curved
and twisted beam. The time-independence of the displacement
functions are assumed in the exponentialform. The systems of
linear partial differential equations are thus reduced to be
ordinary equations of eigenvalue problem for vibration
frequencies. Consi-dering the restriction of boundary condition,
a galerkin finite-element methodis used to solve the governing
equations for the computation of the natural frequencies. The
effects of the torsion and curvature which are in the geome-
trically permissible region on the natural frequencies of the
spatially curvedand twisted beams are studied. The result shows
that the natural frequencies of the curved and twisted beam
increase as either the value of torsion or curvature increases
in general.
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author2 |
Yaw-Dong Shih |
author_facet |
Yaw-Dong Shih Lee, Yuan-Yu 李元煜 |
author |
Lee, Yuan-Yu 李元煜 |
spellingShingle |
Lee, Yuan-Yu 李元煜 Vibrations of Spatially Curved and Twisted Beams by Using Finite Element Method |
author_sort |
Lee, Yuan-Yu |
title |
Vibrations of Spatially Curved and Twisted Beams by Using Finite Element Method |
title_short |
Vibrations of Spatially Curved and Twisted Beams by Using Finite Element Method |
title_full |
Vibrations of Spatially Curved and Twisted Beams by Using Finite Element Method |
title_fullStr |
Vibrations of Spatially Curved and Twisted Beams by Using Finite Element Method |
title_full_unstemmed |
Vibrations of Spatially Curved and Twisted Beams by Using Finite Element Method |
title_sort |
vibrations of spatially curved and twisted beams by using finite element method |
publishDate |
1996 |
url |
http://ndltd.ncl.edu.tw/handle/77616875565727874403 |
work_keys_str_mv |
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