Nonlocal dynamic Kirchhoff plate formulation based on nonlocal operator method
- In this study, we propose a nonlocal operator method (NOM) for the dynamic analysis of (thin) Kirchhoff plates. The nonlocal Hessian operator is derived based on a second-order Taylor series expansion. The NOM does not require any shape functions and associated derivatives as ’classical’ approaches such as FEM, drastically facilitating the implementation. Furthermore, NOM is higher orderIn this study, we propose a nonlocal operator method (NOM) for the dynamic analysis of (thin) Kirchhoff plates. The nonlocal Hessian operator is derived based on a second-order Taylor series expansion. The NOM does not require any shape functions and associated derivatives as ’classical’ approaches such as FEM, drastically facilitating the implementation. Furthermore, NOM is higher order continuous, which is exploited for thin plate analysis that requires C1 continuity. The nonlocal dynamic governing formulation and operator energy functional for Kirchhoff plates are derived from a variational principle. The Verlet-velocity algorithm is used for the time discretization. After confirming the accuracy of the nonlocal Hessian operator, several numerical examples are simulated by the nonlocal dynamic Kirchhoff plate formulation.…
Dokumentart: | Artikel (Wissenschaftlicher) |
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Verfasserangaben: | Yongzheng Zhang |
DOI (Zitierlink): | https://doi.org/10.1007/s00366-021-01587-1Zitierlink |
URN (Zitierlink): | https://nbn-resolving.org/urn:nbn:de:gbv:wim2-20220209-45849Zitierlink |
URL: | https://link.springer.com/article/10.1007/s00366-021-01587-1 |
Titel des übergeordneten Werkes (Englisch): | Engineering with Computers |
Verlag: | Springer |
Verlagsort: | London |
Sprache: | Englisch |
Datum der Veröffentlichung (online): | 07.02.2022 |
Datum der Erstveröffentlichung: | 25.01.2022 |
Datum der Freischaltung: | 09.02.2022 |
Veröffentlichende Institution: | Bauhaus-Universität Weimar |
Institute und Partnereinrichtugen: | Fakultät Bauingenieurwesen / Institut für Strukturmechanik (ISM) |
Jahrgang: | 2022 |
Seitenzahl: | 35 |
Erste Seite: | 1 |
Letzte Seite: | 35 |
Freies Schlagwort / Tag: | dual-support; nonlocal Hessian operator; nonlocal operator method; operator energy functional; variational principle |
GND-Schlagwort: | Angewandte Mathematik |
DDC-Klassifikation: | 500 Naturwissenschaften und Mathematik |
BKL-Klassifikation: | 31 Mathematik / 31.80 Angewandte Mathematik |
56 Bauwesen / 56.03 Methoden im Bauingenieurwesen | |
Lizenz (Deutsch): | Creative Commons 4.0 - Namensnennung (CC BY 4.0) |