Flexural-Torsional Vibration of Thin-Walled Beams Subjected to Combined Initial Axial Load and End Bending Moment: Application to the Design of Saw Tooth Blades
The present paper analyzes the vibration issue of thin-walled beams under combined initial axial load and end moment in two cases with different boundary conditions, specifically the simply supported-end and the laterally fixed-end boundary conditions. The analytical expressions for the first natura...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2019/4509630 |
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| _version_ | 1841524411651325952 |
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| author | Van Binh Phung Anh Tuan Nguyen Hoang Minh Dang Thanh-Phong Dao V. N. Duc |
| author_facet | Van Binh Phung Anh Tuan Nguyen Hoang Minh Dang Thanh-Phong Dao V. N. Duc |
| author_sort | Van Binh Phung |
| collection | DOAJ |
| description | The present paper analyzes the vibration issue of thin-walled beams under combined initial axial load and end moment in two cases with different boundary conditions, specifically the simply supported-end and the laterally fixed-end boundary conditions. The analytical expressions for the first natural frequencies of thin-walled beams were derived by two methods that are a method based on the existence of the roots theorem of differential equation systems and the Rayleigh method. In particular, the stability boundary of a beam can be determined directly from its first natural frequency expression. The analytical results are in good agreement with those from the finite element analysis software ANSYS Mechanical APDL. The research results obtained here are useful for those creating tooth blade designs of innovative frame saw machines. |
| format | Article |
| id | doaj-art-ae2d5e6d248e4b05831e2b50a4089bf0 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-ae2d5e6d248e4b05831e2b50a4089bf02025-02-03T05:53:23ZengWileyShock and Vibration1070-96221875-92032019-01-01201910.1155/2019/45096304509630Flexural-Torsional Vibration of Thin-Walled Beams Subjected to Combined Initial Axial Load and End Bending Moment: Application to the Design of Saw Tooth BladesVan Binh Phung0Anh Tuan Nguyen1Hoang Minh Dang2Thanh-Phong Dao3V. N. Duc4Le Quy Don Technical University, Hanoi, VietnamLe Quy Don Technical University, Hanoi, VietnamIndustrial University of Ho Chi Minh City, Ho Chi Minh City, VietnamDivision of Computational Mechatronics, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, VietnamDivision of Construction Computation, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, VietnamThe present paper analyzes the vibration issue of thin-walled beams under combined initial axial load and end moment in two cases with different boundary conditions, specifically the simply supported-end and the laterally fixed-end boundary conditions. The analytical expressions for the first natural frequencies of thin-walled beams were derived by two methods that are a method based on the existence of the roots theorem of differential equation systems and the Rayleigh method. In particular, the stability boundary of a beam can be determined directly from its first natural frequency expression. The analytical results are in good agreement with those from the finite element analysis software ANSYS Mechanical APDL. The research results obtained here are useful for those creating tooth blade designs of innovative frame saw machines.http://dx.doi.org/10.1155/2019/4509630 |
| spellingShingle | Van Binh Phung Anh Tuan Nguyen Hoang Minh Dang Thanh-Phong Dao V. N. Duc Flexural-Torsional Vibration of Thin-Walled Beams Subjected to Combined Initial Axial Load and End Bending Moment: Application to the Design of Saw Tooth Blades Shock and Vibration |
| title | Flexural-Torsional Vibration of Thin-Walled Beams Subjected to Combined Initial Axial Load and End Bending Moment: Application to the Design of Saw Tooth Blades |
| title_full | Flexural-Torsional Vibration of Thin-Walled Beams Subjected to Combined Initial Axial Load and End Bending Moment: Application to the Design of Saw Tooth Blades |
| title_fullStr | Flexural-Torsional Vibration of Thin-Walled Beams Subjected to Combined Initial Axial Load and End Bending Moment: Application to the Design of Saw Tooth Blades |
| title_full_unstemmed | Flexural-Torsional Vibration of Thin-Walled Beams Subjected to Combined Initial Axial Load and End Bending Moment: Application to the Design of Saw Tooth Blades |
| title_short | Flexural-Torsional Vibration of Thin-Walled Beams Subjected to Combined Initial Axial Load and End Bending Moment: Application to the Design of Saw Tooth Blades |
| title_sort | flexural torsional vibration of thin walled beams subjected to combined initial axial load and end bending moment application to the design of saw tooth blades |
| url | http://dx.doi.org/10.1155/2019/4509630 |
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