Eigen-transitions in cantilever cylindrical shells subjected to vertical edge loads
A thin cantilever cylindrical shell subjected to a transverse shear force at the free end can experience two distinct modes of buckling, depending on its relative thickness and length. If the former parameter is fixed then a short cylinder buckles in a diffuse manner, while the eigenmodal deformatio...
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| Format: | Article |
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SAGE
2018
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| Online Access: | https://eprints.nottingham.ac.uk/48968/ |
| _version_ | 1848797890808381440 |
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| author | Coman, Ciprian D. Bassom, Andrew P. |
| author_facet | Coman, Ciprian D. Bassom, Andrew P. |
| author_sort | Coman, Ciprian D. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | A thin cantilever cylindrical shell subjected to a transverse shear force at the free end can experience two distinct modes of buckling, depending on its relative thickness and length. If the former parameter is fixed then a short cylinder buckles in a diffuse manner, while the eigenmodal deformation of a moderately long shell is localised, both axially and circumferentially, near its fixed end. Donnelltype buckling equations for cylindrical shells are here coupled with a non-symmetric membrane basic state to produce a linear boundary-value problem that is shown to capture the transition between the aforementioned instability modes. The main interest lies in exploring the approximate asymptotic separation of the independent variables in the corresponding stability equations, when the eigen-deformation is doubly localised. Comparisons with direct numerical simulations of the full buckling problem provide further insight into the accuracy and limitations of our approximations. |
| first_indexed | 2025-11-14T20:11:04Z |
| format | Article |
| id | nottingham-48968 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T20:11:04Z |
| publishDate | 2018 |
| publisher | SAGE |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-489682020-05-04T19:31:49Z https://eprints.nottingham.ac.uk/48968/ Eigen-transitions in cantilever cylindrical shells subjected to vertical edge loads Coman, Ciprian D. Bassom, Andrew P. A thin cantilever cylindrical shell subjected to a transverse shear force at the free end can experience two distinct modes of buckling, depending on its relative thickness and length. If the former parameter is fixed then a short cylinder buckles in a diffuse manner, while the eigenmodal deformation of a moderately long shell is localised, both axially and circumferentially, near its fixed end. Donnelltype buckling equations for cylindrical shells are here coupled with a non-symmetric membrane basic state to produce a linear boundary-value problem that is shown to capture the transition between the aforementioned instability modes. The main interest lies in exploring the approximate asymptotic separation of the independent variables in the corresponding stability equations, when the eigen-deformation is doubly localised. Comparisons with direct numerical simulations of the full buckling problem provide further insight into the accuracy and limitations of our approximations. SAGE 2018-02-12 Article PeerReviewed Coman, Ciprian D. and Bassom, Andrew P. (2018) Eigen-transitions in cantilever cylindrical shells subjected to vertical edge loads. Mathematics and Mechanics of Solids . ISSN 1741-3028 cylindrical shells localised buckling shallow shell equations multiple-scale asymptotics http://journals.sagepub.com/doi/full/10.1177/1081286517754133 doi:10.1177/1081286517754133 doi:10.1177/1081286517754133 |
| spellingShingle | cylindrical shells localised buckling shallow shell equations multiple-scale asymptotics Coman, Ciprian D. Bassom, Andrew P. Eigen-transitions in cantilever cylindrical shells subjected to vertical edge loads |
| title | Eigen-transitions in cantilever cylindrical shells subjected to vertical edge loads |
| title_full | Eigen-transitions in cantilever cylindrical shells subjected to vertical edge loads |
| title_fullStr | Eigen-transitions in cantilever cylindrical shells subjected to vertical edge loads |
| title_full_unstemmed | Eigen-transitions in cantilever cylindrical shells subjected to vertical edge loads |
| title_short | Eigen-transitions in cantilever cylindrical shells subjected to vertical edge loads |
| title_sort | eigen-transitions in cantilever cylindrical shells subjected to vertical edge loads |
| topic | cylindrical shells localised buckling shallow shell equations multiple-scale asymptotics |
| url | https://eprints.nottingham.ac.uk/48968/ https://eprints.nottingham.ac.uk/48968/ https://eprints.nottingham.ac.uk/48968/ |