Detecting a Prey in a Spider Orb-Web from In-Plane Vibration

DOI10.1137/20M1372792zbMath1478.35239OpenAlexW3210831342WikidataQ115525526 ScholiaQ115525526MaRDI QIDQ5164713

Alexandre Kawano, R. Zaera, Antonino Morassi

Publication date: 12 November 2021

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/20m1372792

zbMATH Keywords

inverse problemsmembraneidentification of sourcesinfinitesimal vibrationspider orb-web model

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Inverse problems for PDEs (35R30) PDEs in connection with mechanics of deformable solids (35Q74) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (3)

Determination of the prey impact region in a spider orb-web from in-plane vibration ⋮ Inverse load identification in vibrating nanoplates ⋮ On completeness of weak eigenfunctions for multi-interval Sturm-Liouville equations with boundary-interface conditions

Cites Work

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• Almost Periodic Oscillations and Waves
• Inverse Sturm-Liouville problems with a singularity at zero
• UNIQUENESS ALONG A LINE FOR AN INVERSE WAVE SOURCE PROBLEM
• Stability, reconstruction formula and regularization for an inverse source hyperbolic problem by a control method
• Detecting a Prey in a Spider Orb Web
• Asymptotic formulas for the eigenvalues of the Timoshenko beam

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