Optimizing the spring constants of forced, damped and circular spring-mass systems—characterization of the discrete and periodic bi-Laplacian operator

DOI10.1093/imamat/hxab021zbMath1491.70016OpenAlexW3178713223MaRDI QIDQ5158578

L. L. A. de Oliveira, Marcos Vinicio Travaglia

Publication date: 25 October 2021

Published in: IMA Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imamat/hxab021

zbMATH Keywords

stiffness matrix circulant matrices minimization problem involving matrices force transmissibility negative stiffness inverse vibration problem eigenpair periodically forced oscillators asymptotic limit for matrices circular spring-mass systems one-dimensional discrete bi-harmonic operator trace Jansen inequality

Mathematics Subject Classification ID

Optimization of other properties in solid mechanics (74P10) Linear vibration theory (70J99) Relaxation oscillations for ordinary differential equations (34C26)

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