Perturbed rigid body motions of an elastic rectangle

DOI10.1007/S00033-020-01390-WzbMath1462.74022OpenAlexW3083531254MaRDI QIDQ2023295

Onur Şahin, Julius D. Kaplunov

Publication date: 3 May 2021

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-020-01390-w

zbMATH Keywords

linear elasticitybiharmonic equationFourier series solutionlow-frequency perturbation

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Vibrations in dynamical problems in solid mechanics (74H45) Perturbation methods for rigid body dynamics (70E20)

Cites Work

• Unnamed Item
• Decaying states of plane strain in a semi-infinite strip and boundary conditions for plate theory
• On the exact solutions of the biharmonic problem of the theory of elasticity in a half-strip
• Low–frequency decay conditions for a semi–infinite elastic strip
• Infinite systems for a biharmonic problem in a rectangle: further discussion
• On modifications of Newton's second law and linear continuum elastodynamics

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