Static and free vibration analysis of anisotropic doubly-curved shells with general boundary conditions

Static and free vibration analysis of anisotropic doubly-curved shells with general boundary conditions

Francesco TORNABENE, Matteo VISCOTI, Rossana DIMITRI

download PDF

Abstract. In the present work, a two-dimensional model based on a higher order Layer-Wise (LW) approach is presented for the static and dynamic analysis of doubly-curved anisotropic shell structures. The Equivalent Single Layer (ESL) methodology is also obtained as particular case of LW. Each lamina of the stacking sequence is modelled as an anisotropic continuum. The fundamental equations account for both surface and concentrated loads, as well as the effects of the Winkler-Pasternak foundation. Moreover, non-conventional boundary conditions are introduced, and the numerical solution is assessed from the Generalized Differential Quadrature (GDQ) method. The proposed formulation is validated with respect to refined three-dimensional simulations, pointing out its accuracy and computational efficiency.

Keywords
Higher Order Theories, GDQ Method, General Boundary Conditions

Published online 3/17/2022, 6 pages
Copyright © 2023 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA

Citation: Francesco TORNABENE, Matteo VISCOTI, Rossana DIMITRI, Static and free vibration analysis of anisotropic doubly-curved shells with general boundary conditions, Materials Research Proceedings, Vol. 26, pp 121-126, 2023

DOI: https://doi.org/10.21741/9781644902431-20

The article was published as article 20 of the book Theoretical and Applied Mechanics

Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

References
[1] F. Tornabene, M. Viscoti, R. Dimitri, Generalized higher order layerwise theory for the dynamic study of anisotropic doubly-curved shells with a mapped geometry, Eng. Anal. Bound. Elem. 134 (2022) 147–183. https://doi.org/10.1016/j.enganabound.2021.09.017
[2] F. Tornabene, M. Viscoti, R. Dimitri, J.N. Reddy, Higher order theories for the vibration study of doubly-curved anisotropic shells with a variable thickness and isogeometric mapped geometry, Compos. Struct. 267 (2021) 113829. https://doi.org/10.1016/j.compstruct.2021.113829
[3] F. Tornabene, M. Viscoti, R. Dimitri, Equivalent single layer higher order theory based on a weak formulation for the dynamic analysis of anisotropic doubly-curved shells with arbitrary geometry and variable thickness, Thin-Walled Struct. 174 (2022) 109119. https://doi.org/10.1016/j.tws.2022.109119
[4] F. Tornabene F., and Bacciocchi M., Anisotropic Doubly-Curved Shells. Higher-Order Strong and Weak Formulations for Arbitrarily Shaped Shell Structures, Esculapio (Ed.), Bologna, 2018. https://doi.org/10.15651/978-88-938-5080-3
[5] F. Tornabene, M. Viscoti, R. Dimitri, Static analysis of anisotropic doubly-curved shells with arbitrary geometry and variable thickness resting on a Winkler-Pasternak support and subjected to general loads, Eng. Anal. Bound. Elem. 140 (2022) 618–673. https://doi.org/10.1016/j.enganabound.2022.02.021