Acquiring elastic properties of thin composite structure from vibrational testing data

DOI10.1515/jiip-2022-0081zbMath1542.6514MaRDI QIDQ6554746

Katerina A. Beklemysheva, Aleksey V. Vasyukov, Vitaly Aksenov

Publication date: 13 June 2024

zbMATH Keywords

optimizationinverse problemautomatic differentiationcomposite materialsnon-destructive testing

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Classical linear elasticity (74B05) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Composite and mixture properties (74E30) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical differentiation (65D25) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) PDEs in connection with mechanics of deformable solids (35Q74)

Cites Work

• Unnamed Item
• A trust-region-based BFGS method with line search technique for symmetric nonlinear equations
• Differential evolution -- a simple and efficient heuristic for global optimization over continuous spaces
• Mathematical and numerical modeling of plate dynamics with rotational inertia
• Elastic characterization of isotropic plates of any shape via dynamic tests: theoretical aspects and numerical simulations
• Deep autoencoder based energy method for the bending, vibration, and buckling analysis of Kirchhoff plates with transfer learning
• An energy approach to the solution of partial differential equations in computational mechanics via machine learning: concepts, implementation and applications

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