https://doi.org/10.1140/epjp/s13360-024-05160-9
Regular Article
Coupled 3D-flexibility theory and wave propagation approach for vibration analysis of the sandwich structures: introducing deep neural networks to predict vibration problem
1
Lishui Vocational & Technical College, Lishui, China
2
Lishui University, Lishui, China
3
Industrial Engineering Department, College of Engineering, King Saud University, 11421, Riyadh, Saudi Arabia
Received:
14
February
2024
Accepted:
5
April
2024
Published online:
6
May
2024
Due to its high specific power, versatility, and affordable manufacturing, the sandwich structure, which has the potential to enter the space market disruptively, has captured the interest of both the scientific community and the aerospace industry. The functionally graded metal layer reinforced with graphene platelets has been added as an improvement against impact with the purpose of decreasing structural weight while enhancing the sandwich structure's blast-carrying capability. For modeling the sandwich structure in a real situation, three-dimensional elasticity theory (3D-elasticity theory) considering all strain–stress effects is presented. In this work for the first time, three-dimensional elasticity theory considering the surface boundary conditions in the top and bottom layers for relative phase velocity analysis of the improved sandwich structure is investigated. For solving the obtained 3D equations, in the longitude and transverse directions, a harmonic solution procedure is used, while in the thickness direction, the differential quadrature method for considering all surface conditions is presented. Subsequently, in order to reduce the computational expense of the present study, a deep neural networks (DNN) algorithm is introduced to address the existing vibration issue. The validity of the findings may be confirmed by comparing them with the results obtained from the DNN algorithm and another published paper. Finally, the results show that in the beginning of the wave number’s range (smaller than 1000), the panel with infinitive curvature factor along with y direction (Ry/b) has maximum values of phase velocity, while for wave numbers higher than 1000 the dependency of phase velocity to size effect for all values of Ry/b is the same. The current work’s outputs can be used in the improvement of the stability of sandwich structures in complex situations for future handbooks of cell energy fields.
Copyright comment Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
