Nonlinear Free and Forced Vibration Behavior of Shear-Deformable Composite Beams with Shape Memory Alloy Fibers
The nonlinear free and forced vibration of the composite beams embedded with shape memory alloy (SMA) fibers are investigated based on first-order shear deformation beam theory and the von Kármán type nonlinear strain-displacement equation. A thermomechanical constitutive equation of SMA proposed by...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2016/1056087 |
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| _version_ | 1832554150392496128 |
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| author | Ren Yongsheng Du Chenggang Shi Yuyan |
| author_facet | Ren Yongsheng Du Chenggang Shi Yuyan |
| author_sort | Ren Yongsheng |
| collection | DOAJ |
| description | The nonlinear free and forced vibration of the composite beams embedded with shape memory alloy (SMA) fibers are investigated based on first-order shear deformation beam theory and the von Kármán type nonlinear strain-displacement equation. A thermomechanical constitutive equation of SMA proposed by Brinson is used to calculate the recovery stress of the constrained SMA fibers. The equations of motion are derived by using Hamilton’s principle. The approximate solution is obtained for vibration analysis of the composite beams based on the Galerkin approach. The parametric study is carried out to display the effect of the actuation temperature, the volume fraction, the initial strain of SMA fibers, and the length-to-thickness ratio. The shear deformation is shown to have a significant contribution to nonlinear vibration behavior of the composite beams with SMA fibers. |
| format | Article |
| id | doaj-art-5c20bd62f4dd42f0a64c6e59f713c2f4 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-5c20bd62f4dd42f0a64c6e59f713c2f42025-02-03T05:52:16ZengWileyShock and Vibration1070-96221875-92032016-01-01201610.1155/2016/10560871056087Nonlinear Free and Forced Vibration Behavior of Shear-Deformable Composite Beams with Shape Memory Alloy FibersRen Yongsheng0Du Chenggang1Shi Yuyan2College of Mechanical and Electronic Engineering, Shandong University of Science and Technology, Qingdao 266510, ChinaCollege of Mechanical and Electronic Engineering, Shandong University of Science and Technology, Qingdao 266510, ChinaCollege of Mechanical and Electronic Engineering, Shandong University of Science and Technology, Qingdao 266510, ChinaThe nonlinear free and forced vibration of the composite beams embedded with shape memory alloy (SMA) fibers are investigated based on first-order shear deformation beam theory and the von Kármán type nonlinear strain-displacement equation. A thermomechanical constitutive equation of SMA proposed by Brinson is used to calculate the recovery stress of the constrained SMA fibers. The equations of motion are derived by using Hamilton’s principle. The approximate solution is obtained for vibration analysis of the composite beams based on the Galerkin approach. The parametric study is carried out to display the effect of the actuation temperature, the volume fraction, the initial strain of SMA fibers, and the length-to-thickness ratio. The shear deformation is shown to have a significant contribution to nonlinear vibration behavior of the composite beams with SMA fibers.http://dx.doi.org/10.1155/2016/1056087 |
| spellingShingle | Ren Yongsheng Du Chenggang Shi Yuyan Nonlinear Free and Forced Vibration Behavior of Shear-Deformable Composite Beams with Shape Memory Alloy Fibers Shock and Vibration |
| title | Nonlinear Free and Forced Vibration Behavior of Shear-Deformable Composite Beams with Shape Memory Alloy Fibers |
| title_full | Nonlinear Free and Forced Vibration Behavior of Shear-Deformable Composite Beams with Shape Memory Alloy Fibers |
| title_fullStr | Nonlinear Free and Forced Vibration Behavior of Shear-Deformable Composite Beams with Shape Memory Alloy Fibers |
| title_full_unstemmed | Nonlinear Free and Forced Vibration Behavior of Shear-Deformable Composite Beams with Shape Memory Alloy Fibers |
| title_short | Nonlinear Free and Forced Vibration Behavior of Shear-Deformable Composite Beams with Shape Memory Alloy Fibers |
| title_sort | nonlinear free and forced vibration behavior of shear deformable composite beams with shape memory alloy fibers |
| url | http://dx.doi.org/10.1155/2016/1056087 |
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