1. High-order accurate transient and free-vibration analysis of plates and shells.
- Author
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Gulizzi, Vincenzo, Benedetti, Ivano, and Milazzo, Alberto
- Subjects
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TRANSIENT analysis , *DIFFERENTIAL forms , *DIFFERENTIAL equations , *COMPOSITE structures , *ANALYTICAL solutions , *ELASTODYNAMICS - Abstract
The limited availability of analytical solutions and the high cost associated with experimental testing motivate the use of computational tools to assess the dynamic behavior of load-bearing components, especially when a wide design space must be explored, as is often the case with composite structures. In this context, a novel high-order accurate discontinuous Galerkin formulation for transient and free-vibration analysis of multilayered plates and shells is presented and numerical validated. The starting point of the formulation is a generalized structural theory for multilayered shells with arbitrary curvature based on the expansion of the displacement covariant components throughout the shell thickness. The variational statement of three-dimensional elastodynamics allows deriving the strong form of the governing differential equations, which form the basis to obtain the corresponding discontinuous Galerkin weak statements. As the order of the through-the-thickness expansion and the order of the discontinuous Galerkin basis functions are free parameters, the proposed approach allows tuning the order of accuracy of the computed solution throughout both the shell thickness and the shell modeling domain. Numerical results are reported and discussed for several validation test cases in terms of h - and p -convergence analyses, demonstrating the high-order accuracy, robustness, and computational savings of the formulation. • Transient and free-vibration analysis of laminated shells with general curvature. • An Equivalent-Single-Layer theory using the covariant components of displacement. • A high-order accurate discontinuous Galerkin formulation for shell dynamics. • Numerical solutions obtained using structured and implicitly-defined meshes. • h p -convergence analyses for various plate and shell geometries. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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