New upper bounds for free linear and nonlinear vibration systems with applications of the differential calculus of norms

DOI10.1016/j.apm.2003.08.004zbMath1312.70022OpenAlexW1964077710MaRDI QIDQ1433339

Ludwig Kohaupt

Publication date: 15 June 2004

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2003.08.004

zbMATH Keywords

optimal upper boundlinear and nonlinear differential equationsdifferential calculus of normsinitial and asymptotic behaviouroverdamped motionvibration systems

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Forced motions for nonlinear problems in mechanics (70K40) Linear ordinary differential equations and systems (34A30) Systems arising from the discretization of structural vibration problems (70J50)

Related Items

Computing the maximum transient energy growth ⋮ Solution of the matrix eigenvalue problem \(VA+A^{*}V=\mu V\) with applications to the study of free linear dynamical systems ⋮ New upper bounds for excited vibration systems with applications of the differential calculus of norms ⋮ Two-sided bounds on some output-related quantities in linear stochastically excited vibration systems with application of the differential calculus of norms ⋮ Two-sided bounds for the asymptotic behaviour of free nonlinear vibration systems with application of the differential calculus of norms

Cites Work

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• [https://portal.mardi4nfdi.de/wiki/Publication:3692935 Linearisierung der Differentialgleichung des Einmassenschwingers f�r beliebige, eindeutige Kennlinien mit Anwendungen im Automobilbau]
• Logarithmic Norms for Matrix Pencils
• Second Logarithmic Derivative of a Complex Matrix in the Chebyshev Norm
• Differential calculus for some \(p\)-norms of the fundamental matrix with applications
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