Free Vibration and Hardening Behavior of Truss Core Sandwich Beam
The dynamic characteristics of simply supported pyramidal truss core sandwich beam are investigated. The nonlinear governing equation of motion for the beam is obtained by using a Zig-Zag theory. The averaged equations of the beam with primary, subharmonic, and superharmonic resonances are derived b...
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| Main Authors: | , , , |
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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/10.1155/2016/7348518 |
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| _version_ | 1832549613897252864 |
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| author | J. E. Chen W. Zhang M. Sun M. H. Yao |
| author_facet | J. E. Chen W. Zhang M. Sun M. H. Yao |
| author_sort | J. E. Chen |
| collection | DOAJ |
| description | The dynamic characteristics of simply supported pyramidal truss core sandwich beam are investigated. The nonlinear governing equation of motion for the beam is obtained by using a Zig-Zag theory. The averaged equations of the beam with primary, subharmonic, and superharmonic resonances are derived by using the method of multiple scales and then the corresponding frequency response equations are obtained. The influences of strut radius and core height on the linear natural frequencies and hardening behaviors of the beam are studied. It is illustrated that the first-order natural frequency decreases continuously and the second-order and third-order natural frequencies initially increase and then decrease with the increase of strut radius, and the first three natural frequencies all increase with the rise of the core height. Furthermore, the results indicate that the hardening behaviors of the beam become weaker with the increase of the rise of strut radius and core height. The mechanisms of variations in hardening behavior of the sandwich beam with the three types of resonances are detailed and discussed. |
| format | Article |
| id | doaj-art-cd03bc9d5e6b44c69af0f3ae5180ae51 |
| 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-cd03bc9d5e6b44c69af0f3ae5180ae512025-02-03T06:10:57ZengWileyShock and Vibration1070-96221875-92032016-01-01201610.1155/2016/73485187348518Free Vibration and Hardening Behavior of Truss Core Sandwich BeamJ. E. Chen0W. Zhang1M. Sun2M. H. Yao3Tianjin Key Laboratory of the Design and Intelligent Control of the Advanced Mechatronical System, Tianjin University of Technology, Tianjin 300384, ChinaCollege of Mechanical Engineering, Beijing University of Technology, Beijing 100124, ChinaSchool of Science, Tianjin Chengjian University, Tianjin 300384, ChinaCollege of Mechanical Engineering, Beijing University of Technology, Beijing 100124, ChinaThe dynamic characteristics of simply supported pyramidal truss core sandwich beam are investigated. The nonlinear governing equation of motion for the beam is obtained by using a Zig-Zag theory. The averaged equations of the beam with primary, subharmonic, and superharmonic resonances are derived by using the method of multiple scales and then the corresponding frequency response equations are obtained. The influences of strut radius and core height on the linear natural frequencies and hardening behaviors of the beam are studied. It is illustrated that the first-order natural frequency decreases continuously and the second-order and third-order natural frequencies initially increase and then decrease with the increase of strut radius, and the first three natural frequencies all increase with the rise of the core height. Furthermore, the results indicate that the hardening behaviors of the beam become weaker with the increase of the rise of strut radius and core height. The mechanisms of variations in hardening behavior of the sandwich beam with the three types of resonances are detailed and discussed.http://dx.doi.org/10.1155/2016/7348518 |
| spellingShingle | J. E. Chen W. Zhang M. Sun M. H. Yao Free Vibration and Hardening Behavior of Truss Core Sandwich Beam Shock and Vibration |
| title | Free Vibration and Hardening Behavior of Truss Core Sandwich Beam |
| title_full | Free Vibration and Hardening Behavior of Truss Core Sandwich Beam |
| title_fullStr | Free Vibration and Hardening Behavior of Truss Core Sandwich Beam |
| title_full_unstemmed | Free Vibration and Hardening Behavior of Truss Core Sandwich Beam |
| title_short | Free Vibration and Hardening Behavior of Truss Core Sandwich Beam |
| title_sort | free vibration and hardening behavior of truss core sandwich beam |
| url | http://dx.doi.org/10.1155/2016/7348518 |
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