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Ιδρυματικό Αποθετήριο [SANDBOX]
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| URI | http://purl.tuc.gr/dl/dias/C91BF192-D932-46F2-B31C-C409CDC91DD9 | - |
| Αναγνωριστικό | https://doi.org/10.1016/j.cnsns.2005.09.001 | - |
| Γλώσσα | en | - |
| Μέγεθος | 20 pages | en |
| Τίτλος | The projective–iterative method and neural network estimation for buckling of elastic plates in nonlinear theory | en |
| Δημιουργός | Stavroulakis Georgios | en |
| Δημιουργός | Σταυρουλακης Γεωργιος | el |
| Δημιουργός | Aliki D. Muradova | en |
| Εκδότης | Elsevier | en |
| Περίληψη | The paper deals with a nonlinear buckling problem for von Karman elastic plates in bending. The simply supported and partially clamped plates are considered. A variational-projective approach with an iterative scheme is suggested for the calculation of eigenfunctions and the buckling loads for the studied problem. The convergence of the projective–iterative method is investigated. The bifurcation scenario is demonstrated by examples. Numerical results show the effectiveness of the proposed method. Prediction of the eigenvalues (which are the bifurcation points of the nonlinear problem) of the linearized problem with different sizes of the plate can also be done by an approximately trained neural network, as it is briefly demonstrated in this work. | en |
| Τύπος | Peer-Reviewed Journal Publication | en |
| Τύπος | Δημοσίευση σε Περιοδικό με Κριτές | el |
| Άδεια Χρήσης | http://creativecommons.org/licenses/by/4.0/ | en |
| Ημερομηνία | 2015-10-12 | - |
| Ημερομηνία Δημοσίευσης | 2007 | - |
| Θεματική Κατηγορία | Applied mechanics | en |
| Θεματική Κατηγορία | Engineering, Mechanical | en |
| Θεματική Κατηγορία | mechanics applied | en |
| Θεματική Κατηγορία | applied mechanics | en |
| Θεματική Κατηγορία | engineering mechanical | en |
| Βιβλιογραφική Αναφορά | Aliki D. Muradova, Georgios E. Stavroulakis, "The projective–iterative method and neural network estimation for buckling of elastic plates in nonlinear theory," Commun. in Nonlinear Sc. and Numerical Simul. ,vol. 12, no.6, pp. 1068–1088, Sept. 2007. | en |
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