Inverse problems of identifying the unknown transverse shear force in the Euler-Bernoulli beam with Kelvin-Voigt damping

DOI10.1515/jiip-2022-0053arXiv2301.07931MaRDI QIDQ6192053

Sakthivel Kumarasamy, Anjuna Dileep, Alemdar Hasanov

Publication date: 12 February 2024

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.07931

zbMATH Keywords

Euler-Bernoulli beambending momentLipschitz stabilityKelvin-Voigt dampingshear force identification

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence theories for optimal control problems involving partial differential equations (49J20) Initial-boundary value problems for higher-order hyperbolic equations (35L35)

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Determination of unknown shear force in transverse dynamic force microscopy from measured final data ⋮ Inverting mechanical and variable-order parameters of the Euler-Bernoulli beam on viscoelastic foundation

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