Lower bounds to eigenvalues for vibrations and buckling of structures by analytical applications of a priori known qualitative information

DOI10.1016/S0960-0779(98)00243-4zbMath0969.74031OpenAlexW1602473788MaRDI QIDQ1125170

David Pnueli

Publication date: 29 November 1999

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(98)00243-4

zbMATH Keywords

lower bounds for eigenvaluesvibration problemsmass redistributiona priori information on eigenfunctionsauxiliary eigenvalue problemsquick estimates

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Bifurcation and buckling (74G60) Estimates of eigenvalues in context of PDEs (35P15) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (1)

A selective review of direct, semi-inverse and inverse eigenvalue problems for structures described by differential equations with variable coefficients

Cites Work

• Two shift theorems leading to lower bounds to eigenvalues
• Unnamed Item

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