An Improved Beam Element for Beams with Variable Axial Parameters
The traditional beam element was improved to consider the variable axial parameters. The variable axial parameters were formulated in terms of a power series, and the general forms of elementary mass and stiffness matrices which depend on the power order were derived. The mass and stiffness matrices...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.3233/SAV-130771 |
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| _version_ | 1832554794853597184 |
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| author | Peng He Zhansheng Liu Chun Li |
| author_facet | Peng He Zhansheng Liu Chun Li |
| author_sort | Peng He |
| collection | DOAJ |
| description | The traditional beam element was improved to consider the variable axial parameters. The variable axial parameters were formulated in terms of a power series, and the general forms of elementary mass and stiffness matrices which depend on the power order were derived. The mass and stiffness matrices of the improved beam element were obtained in terms of an elementary matrix series. The beam elements for various tapered beams and a beam under linearly axial temperature distribution were derived. The vibrations of the beams with various taper shapes were studied and the variations of natural frequencies and modal shapes were investigated. A uniform beam under linearly axial temperature distribution was modeled and studied. The influences of axial temperature difference on the natural frequencies and modal shapes were investigated. Results show that the improved beam element could consider the variable axial parameters of beam conveniently. |
| format | Article |
| id | doaj-art-b2b593dd2297405bb4c521ae3dc8d8dc |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-b2b593dd2297405bb4c521ae3dc8d8dc2025-02-03T05:50:30ZengWileyShock and Vibration1070-96221875-92032013-01-0120460161710.3233/SAV-130771An Improved Beam Element for Beams with Variable Axial ParametersPeng He0Zhansheng Liu1Chun Li2School of Energy Science and Engineering, Harbin Institute of Technology, Harbin, Heilongjiang, ChinaSchool of Energy Science and Engineering, Harbin Institute of Technology, Harbin, Heilongjiang, ChinaSchool of Energy Science and Engineering, Harbin Institute of Technology, Harbin, Heilongjiang, ChinaThe traditional beam element was improved to consider the variable axial parameters. The variable axial parameters were formulated in terms of a power series, and the general forms of elementary mass and stiffness matrices which depend on the power order were derived. The mass and stiffness matrices of the improved beam element were obtained in terms of an elementary matrix series. The beam elements for various tapered beams and a beam under linearly axial temperature distribution were derived. The vibrations of the beams with various taper shapes were studied and the variations of natural frequencies and modal shapes were investigated. A uniform beam under linearly axial temperature distribution was modeled and studied. The influences of axial temperature difference on the natural frequencies and modal shapes were investigated. Results show that the improved beam element could consider the variable axial parameters of beam conveniently.http://dx.doi.org/10.3233/SAV-130771 |
| spellingShingle | Peng He Zhansheng Liu Chun Li An Improved Beam Element for Beams with Variable Axial Parameters Shock and Vibration |
| title | An Improved Beam Element for Beams with Variable Axial Parameters |
| title_full | An Improved Beam Element for Beams with Variable Axial Parameters |
| title_fullStr | An Improved Beam Element for Beams with Variable Axial Parameters |
| title_full_unstemmed | An Improved Beam Element for Beams with Variable Axial Parameters |
| title_short | An Improved Beam Element for Beams with Variable Axial Parameters |
| title_sort | improved beam element for beams with variable axial parameters |
| url | http://dx.doi.org/10.3233/SAV-130771 |
| work_keys_str_mv | AT penghe animprovedbeamelementforbeamswithvariableaxialparameters AT zhanshengliu animprovedbeamelementforbeamswithvariableaxialparameters AT chunli animprovedbeamelementforbeamswithvariableaxialparameters AT penghe improvedbeamelementforbeamswithvariableaxialparameters AT zhanshengliu improvedbeamelementforbeamswithvariableaxialparameters AT chunli improvedbeamelementforbeamswithvariableaxialparameters |