An exact model for free vibration of structures coupled by arbitrarily shaped plates

DOI10.1007/S11012-023-01740-8OpenAlexW4389919076MaRDI QIDQ6124654

Yuyu Song

Publication date: 28 March 2024

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11012-023-01740-8

zbMATH Keywords

penalty methodfree vibrationarbitrary boundary conditionsarbitrary shapeGram-Schmidt orthogonalization processcoupled plate structures

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20)

Cites Work

• Optimal penalty parameters for symmetric discontinuous Galerkin discretisations of the time-harmonic Maxwell equations
• The role of the penalty in the local discontinuous Galerkin method for Maxwell's eigenvalue problem
• Eigenfrequencies of rectangular plate assemblies
• Introducing the use of positive and negative inertial functions in asymptotic modelling
• Variational methods for the solution of problems of equilibrium and vibrations

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