Analytical research on dynamic buckling of thin cylindrical shells with thickness variation under axial pressure
This paper focuses on the dynamic buckling of thin cylindrical shells with arbitrary axisymmetric thickness variation under time dependent axial pressure. Based on the derivation of stability and compatibility equations of variable thickness cylindrical shells under dynamic external pressure by Akso...
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| Published in | Thin-walled structures Vol. 101; pp. 213 - 221 |
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| Main Authors | , , , , , |
| Format | Journal Article |
| Language | English |
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Elsevier Ltd
01.04.2016
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| Abstract | This paper focuses on the dynamic buckling of thin cylindrical shells with arbitrary axisymmetric thickness variation under time dependent axial pressure. Based on the derivation of stability and compatibility equations of variable thickness cylindrical shells under dynamic external pressure by Aksogan and Sofiyev, the corresponding stability and compatibility equations of thin cylindrical shells with arbitrary axisymmetric thickness variation under dynamic axial pressure are obtained and expressed in nondimensional form. Combining the small parameter perturbation method, Fourier series expansion and the Sachenkov–Baktieva method, analytical formulas of the critical buckling load of thin cylindrical shells with arbitrary axisymmetric thickness variation under axial pressure that varies as a power function of time are obtained. Two cases of thickness variation are introduced to research the critical dynamic buckling load with the present formulas. Effects of thickness variation parameters and loading speed of dynamic axial pressure on the critical buckling load are discussed. The method is also applied to determine the critical dynamic buckling load of thin cylindrical shells with a classical cosine form thickness variation. Results revel that the thickness variation and pressure parameters play a major role in dictating the buckling capacity of thin cylindrical shells under dynamic axial pressure.
•Formulas of critical dynamic buckling load of thickness variation cylindrical shells.•We examine changes of critical dynamic buckling load with thickness variation.•We examine changes of critical dynamic buckling load with pressure coefficients.•Buckling capacity of cylindrical shell relies on thickness variation and pressure form. |
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| AbstractList | This paper focuses on the dynamic buckling of thin cylindrical shells with arbitrary axisymmetric thickness variation under time dependent axial pressure. Based on the derivation of stability and compatibility equations of variable thickness cylindrical shells under dynamic external pressure by Aksogan and Sofiyev, the corresponding stability and compatibility equations of thin cylindrical shells with arbitrary axisymmetric thickness variation under dynamic axial pressure are obtained and expressed in nondimensional form. Combining the small parameter perturbation method, Fourier series expansion and the Sachenkov-Baktieva method, analytical formulas of the critical buckling load of thin cylindrical shells with arbitrary axisymmetric thickness variation under axial pressure that varies as a power function of time are obtained. Two cases of thickness variation are introduced to research the critical dynamic buckling load with the present formulas. Effects of thickness variation parameters and loading speed of dynamic axial pressure on the critical buckling load are discussed. The method is also applied to determine the critical dynamic buckling load of thin cylindrical shells with a classical cosine form thickness variation. Results revel that the thickness variation and pressure parameters play a major role in dictating the buckling capacity of thin cylindrical shells under dynamic axial pressure. This paper focuses on the dynamic buckling of thin cylindrical shells with arbitrary axisymmetric thickness variation under time dependent axial pressure. Based on the derivation of stability and compatibility equations of variable thickness cylindrical shells under dynamic external pressure by Aksogan and Sofiyev, the corresponding stability and compatibility equations of thin cylindrical shells with arbitrary axisymmetric thickness variation under dynamic axial pressure are obtained and expressed in nondimensional form. Combining the small parameter perturbation method, Fourier series expansion and the Sachenkov–Baktieva method, analytical formulas of the critical buckling load of thin cylindrical shells with arbitrary axisymmetric thickness variation under axial pressure that varies as a power function of time are obtained. Two cases of thickness variation are introduced to research the critical dynamic buckling load with the present formulas. Effects of thickness variation parameters and loading speed of dynamic axial pressure on the critical buckling load are discussed. The method is also applied to determine the critical dynamic buckling load of thin cylindrical shells with a classical cosine form thickness variation. Results revel that the thickness variation and pressure parameters play a major role in dictating the buckling capacity of thin cylindrical shells under dynamic axial pressure. •Formulas of critical dynamic buckling load of thickness variation cylindrical shells.•We examine changes of critical dynamic buckling load with thickness variation.•We examine changes of critical dynamic buckling load with pressure coefficients.•Buckling capacity of cylindrical shell relies on thickness variation and pressure form. |
| Author | Huang, Song Fan, Haigui Cheng, Jian Liu, Lige Feng, Wenzhuo Chen, Zhiping |
| Author_xml | – sequence: 1 givenname: Haigui surname: Fan fullname: Fan, Haigui – sequence: 2 givenname: Zhiping surname: Chen fullname: Chen, Zhiping email: zhiping@zju.edu.cn – sequence: 3 givenname: Jian surname: Cheng fullname: Cheng, Jian – sequence: 4 givenname: Song surname: Huang fullname: Huang, Song – sequence: 5 givenname: Wenzhuo surname: Feng fullname: Feng, Wenzhuo – sequence: 6 givenname: Lige surname: Liu fullname: Liu, Lige |
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| SubjectTerms | Analytical formula Axisymmetric Buckling Compatibility Critical buckling load Cylindrical shells Dynamic axial pressure Dynamics Loads (forces) Mathematical analysis Stability Thickness variation Thin cylindrical shell |
| Title | Analytical research on dynamic buckling of thin cylindrical shells with thickness variation under axial pressure |
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