Free Vibration Analysis of Rotating Euler–Bernoulli Beam with Exponentially Varying Cross-Section by Differential Transform Method
Year
: 2018
Abstract: In this paper, the free vibration analysis of non-uniform rotating Euler–Bernoulli beam is
carried out. It is assumed that the beam has exponentially decaying circular cross-section.
In order to solve the problem, the differential transform method (DTM) is utilized. Based on our
knowledge, we claim that the recurrence relation presented herein is an elaborate recurrence
relation which has been obtained for ordinary differential equations. Non-dimensional natural
frequencies of the beam are obtained and tabulated for different values of the beam parameters
such as taper ratio and rotating speed. Furthermore, the finite element method (FEM) is
employed to solve the problem. Comparison of the results obtained by DTM and FEM indicates
the accuracy of proposed solutions.
carried out. It is assumed that the beam has exponentially decaying circular cross-section.
In order to solve the problem, the differential transform method (DTM) is utilized. Based on our
knowledge, we claim that the recurrence relation presented herein is an elaborate recurrence
relation which has been obtained for ordinary differential equations. Non-dimensional natural
frequencies of the beam are obtained and tabulated for different values of the beam parameters
such as taper ratio and rotating speed. Furthermore, the finite element method (FEM) is
employed to solve the problem. Comparison of the results obtained by DTM and FEM indicates
the accuracy of proposed solutions.
Keyword(s): Euler–Bernoulli beam,rotating beam,differential transform method,exponentially
tapered,non-dimensional natural frequency
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Free Vibration Analysis of Rotating Euler–Bernoulli Beam with Exponentially Varying Cross-Section by Differential Transform Method
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| contributor author | M. Nourifar | en |
| contributor author | A. Keyhani | en |
| contributor author | احمد آفتابی ثانی | en |
| contributor author | Ahmad Aftabi sani | fa |
| date accessioned | 2020-06-06T13:35:46Z | |
| date available | 2020-06-06T13:35:46Z | |
| date issued | 2018 | |
| identifier uri | https://libsearch.um.ac.ir:443/fum/handle/fum/3361301?locale-attribute=en | |
| description abstract | In this paper, the free vibration analysis of non-uniform rotating Euler–Bernoulli beam is carried out. It is assumed that the beam has exponentially decaying circular cross-section. In order to solve the problem, the differential transform method (DTM) is utilized. Based on our knowledge, we claim that the recurrence relation presented herein is an elaborate recurrence relation which has been obtained for ordinary differential equations. Non-dimensional natural frequencies of the beam are obtained and tabulated for different values of the beam parameters such as taper ratio and rotating speed. Furthermore, the finite element method (FEM) is employed to solve the problem. Comparison of the results obtained by DTM and FEM indicates the accuracy of proposed solutions. | en |
| language | English | |
| title | Free Vibration Analysis of Rotating Euler–Bernoulli Beam with Exponentially Varying Cross-Section by Differential Transform Method | en |
| type | Journal Paper | |
| contenttype | External Fulltext | |
| subject keywords | Euler–Bernoulli beam | en |
| subject keywords | rotating beam | en |
| subject keywords | differential transform method | en |
| subject keywords | exponentially tapered | en |
| subject keywords | non-dimensional natural frequency | en |
| journal title | International Journal of Structural Stability and Dynamics | fa |
| pages | 1850024-1850024 | |
| journal volume | 18 | |
| journal issue | 2 | |
| identifier link | https://profdoc.um.ac.ir/paper-abstract-1063655.html | |
| identifier articleid | 1063655 |