Flutter Instability of Timoshenko Cantilever Beam Carrying Concentrated Mass on Various Locations
Abstract This paper presents effects of shear deformation on flutter instability of cantilever beam subject to a concentrated follower force. The discrete form of equation of motion is formulated based on the Lagrange. In the presented formulation, the beam is modeled using Timoshenko beam theory, a...
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| Format: | Article |
| Language: | English |
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Marcílio Alves
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| Series: | Latin American Journal of Solids and Structures |
| Subjects: | |
| Online Access: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252016001603005&lng=en&tlng=en |
| _version_ | 1818412848443817984 |
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| author | Majid Sohrabian Hamid Ahmadian Reza Fathi |
| author_facet | Majid Sohrabian Hamid Ahmadian Reza Fathi |
| author_sort | Majid Sohrabian |
| collection | DOAJ |
| description | Abstract This paper presents effects of shear deformation on flutter instability of cantilever beam subject to a concentrated follower force. The discrete form of equation of motion is formulated based on the Lagrange. In the presented formulation, the beam is modeled using Timoshenko beam theory, and constant shear distribution through the thickness of the beam is considered. Consistent interpolation scheme is adopted to avoid the shear locking for thin beams. Consequently, convergence of the finite element simulation is enhanced. The effect of rotary inertial term is considered in the flutter study, which has significant influence on the beam behavior as the beam thickness increases. The axial degrees of freedom are taken into account in energy expressions, to improve the accuracy of the results. Results presented for different beam geometries. The numerical results show high efficiency and good convergence characteristic. The effect of concentrated mass on the flutter instability of beam is considered and results are presented for various locations and values of concentrated masses. Furthermore, the shear effects are highlighted in this study by comparing the results obtained from the Euler-Bernoulli with those obtained from the Timoshenko beam model. |
| first_indexed | 2024-12-14T10:53:50Z |
| format | Article |
| id | doaj.art-41379f3c9019405082bae46237055022 |
| institution | Directory Open Access Journal |
| issn | 1679-7825 |
| language | English |
| last_indexed | 2024-12-14T10:53:50Z |
| publisher | Marcílio Alves |
| record_format | Article |
| series | Latin American Journal of Solids and Structures |
| spelling | doaj.art-41379f3c9019405082bae462370550222022-12-21T23:05:03ZengMarcílio AlvesLatin American Journal of Solids and Structures1679-782513163005302110.1590/1679-78252946S1679-78252016001603005Flutter Instability of Timoshenko Cantilever Beam Carrying Concentrated Mass on Various LocationsMajid SohrabianHamid AhmadianReza FathiAbstract This paper presents effects of shear deformation on flutter instability of cantilever beam subject to a concentrated follower force. The discrete form of equation of motion is formulated based on the Lagrange. In the presented formulation, the beam is modeled using Timoshenko beam theory, and constant shear distribution through the thickness of the beam is considered. Consistent interpolation scheme is adopted to avoid the shear locking for thin beams. Consequently, convergence of the finite element simulation is enhanced. The effect of rotary inertial term is considered in the flutter study, which has significant influence on the beam behavior as the beam thickness increases. The axial degrees of freedom are taken into account in energy expressions, to improve the accuracy of the results. Results presented for different beam geometries. The numerical results show high efficiency and good convergence characteristic. The effect of concentrated mass on the flutter instability of beam is considered and results are presented for various locations and values of concentrated masses. Furthermore, the shear effects are highlighted in this study by comparing the results obtained from the Euler-Bernoulli with those obtained from the Timoshenko beam model.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252016001603005&lng=en&tlng=enFollower ForceFlutter InstabilityNon-conservative ForceTimoshenko TheoryCantilever BeamFinite Element Method |
| spellingShingle | Majid Sohrabian Hamid Ahmadian Reza Fathi Flutter Instability of Timoshenko Cantilever Beam Carrying Concentrated Mass on Various Locations Latin American Journal of Solids and Structures Follower Force Flutter Instability Non-conservative Force Timoshenko Theory Cantilever Beam Finite Element Method |
| title | Flutter Instability of Timoshenko Cantilever Beam Carrying Concentrated Mass on Various Locations |
| title_full | Flutter Instability of Timoshenko Cantilever Beam Carrying Concentrated Mass on Various Locations |
| title_fullStr | Flutter Instability of Timoshenko Cantilever Beam Carrying Concentrated Mass on Various Locations |
| title_full_unstemmed | Flutter Instability of Timoshenko Cantilever Beam Carrying Concentrated Mass on Various Locations |
| title_short | Flutter Instability of Timoshenko Cantilever Beam Carrying Concentrated Mass on Various Locations |
| title_sort | flutter instability of timoshenko cantilever beam carrying concentrated mass on various locations |
| topic | Follower Force Flutter Instability Non-conservative Force Timoshenko Theory Cantilever Beam Finite Element Method |
| url | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252016001603005&lng=en&tlng=en |
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