Dynamic stability of a beam on an elastic foundation including stress wave effects
This paper examines the dynamic stability of an elastic beam on the elastic foundation, in which the stress wave effect is taken into account. Based on Euler–Bernoulli beam theory, the dynamic response of the elastic beam on the elastic foundation to a small transverse perturbation is analyzed. By c...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2013
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/101439 http://hdl.handle.net/10220/16851 |
| _version_ | 1811695514343702528 |
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| author | Liu, Ying. Lu, G. |
| author2 | School of Mechanical and Aerospace Engineering |
| author_facet | School of Mechanical and Aerospace Engineering Liu, Ying. Lu, G. |
| author_sort | Liu, Ying. |
| collection | NTU |
| description | This paper examines the dynamic stability of an elastic beam on the elastic foundation, in which the stress wave effect is taken into account. Based on Euler–Bernoulli beam theory, the dynamic response of the elastic beam on the elastic foundation to a small transverse perturbation is analyzed. By considering the stress wave propagation in the beam and the constraint of the elastic foundation, the critical bifurcation condition of elastic beam is derived, and the critical axial load of the elastic beam is predicted. Furthermore, the effects of the elastic foundation and the beam length on buckling condition are discussed by using numeric examples. Finally, an approximate solution of critical axial load for elastic beam on the elastic foundation is provided, which may be used to investigate elastic beam buckling problem. |
| first_indexed | 2024-10-01T07:24:41Z |
| format | Journal Article |
| id | ntu-10356/101439 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T07:24:41Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | ntu-10356/1014392020-03-07T13:22:19Z Dynamic stability of a beam on an elastic foundation including stress wave effects Liu, Ying. Lu, G. School of Mechanical and Aerospace Engineering DRNTU::Engineering::Mechanical engineering This paper examines the dynamic stability of an elastic beam on the elastic foundation, in which the stress wave effect is taken into account. Based on Euler–Bernoulli beam theory, the dynamic response of the elastic beam on the elastic foundation to a small transverse perturbation is analyzed. By considering the stress wave propagation in the beam and the constraint of the elastic foundation, the critical bifurcation condition of elastic beam is derived, and the critical axial load of the elastic beam is predicted. Furthermore, the effects of the elastic foundation and the beam length on buckling condition are discussed by using numeric examples. Finally, an approximate solution of critical axial load for elastic beam on the elastic foundation is provided, which may be used to investigate elastic beam buckling problem. 2013-10-24T09:14:14Z 2019-12-06T20:38:46Z 2013-10-24T09:14:14Z 2019-12-06T20:38:46Z 2012 2012 Journal Article Liu, Y., & Lu, G. (2012). Dynamic stability of a beam on an elastic foundation including stress wave effects. International journal of applied mechanics, 4(2), 1250017-. https://hdl.handle.net/10356/101439 http://hdl.handle.net/10220/16851 10.1142/S1758825112500172 en International journal of applied mechanics |
| spellingShingle | DRNTU::Engineering::Mechanical engineering Liu, Ying. Lu, G. Dynamic stability of a beam on an elastic foundation including stress wave effects |
| title | Dynamic stability of a beam on an elastic foundation including stress wave effects |
| title_full | Dynamic stability of a beam on an elastic foundation including stress wave effects |
| title_fullStr | Dynamic stability of a beam on an elastic foundation including stress wave effects |
| title_full_unstemmed | Dynamic stability of a beam on an elastic foundation including stress wave effects |
| title_short | Dynamic stability of a beam on an elastic foundation including stress wave effects |
| title_sort | dynamic stability of a beam on an elastic foundation including stress wave effects |
| topic | DRNTU::Engineering::Mechanical engineering |
| url | https://hdl.handle.net/10356/101439 http://hdl.handle.net/10220/16851 |
| work_keys_str_mv | AT liuying dynamicstabilityofabeamonanelasticfoundationincludingstresswaveeffects AT lug dynamicstabilityofabeamonanelasticfoundationincludingstresswaveeffects |