On stability domains of nonconservative systems under small parametric excitation

DOI10.1007/BF01170696zbMath1027.70028MaRDI QIDQ1862788

Alexei A. Mailybaev

Publication date: 19 March 2003

Published in: Acta Mechanica (Search for Journal in Brave)

zbMATH Keywords

zero eigenvalueparameter spacesystem matricesstability domainautonomous systemperiodic parametric excitationimaginary eigenvalueslinear multi-parameter nonconservative systempipe with pulsating fluid

Mathematics Subject Classification ID

Stability for problems in linear vibration theory (70J25) Parametric resonances in linear vibration theory (70J40)

Related Items (2)

Averaging in vibration suppression by parametric stiffness excitation ⋮ General parametric stiffness excitation -- anti-resonance frequency and symmetry

Cites Work

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• Stability analysis for multi-parameter linear periodic systems
• On the boundaries of the parametric resonance domain
• Dynamic stability of pipes conveying pulsating fluid
• Perturbation method for the floquet eigenvalues and stability boundary of periodic linear systems
• THE SOLUTION OF SOME PERTURBATION PROBLEMS FOR MATRICES AND SELFADJOINT OR NON-SELFADJOINT DIFFERENTIAL EQUATIONS I
• Zur korrekten Modellbildung in der Dynamik diskreter Systeme
• Response and Stability of Linear Dynamic Systems With Many Degrees of Freedom Subjected to Nonconservative and Harmonic Forces
• Parametric and Combination Resonances of a Pipe Conveying Pulsating Fluid
• On Singularities of a Boundary of the Stability Domain
• Transformation of Families of Matrices to Normal Forms and its Application to Stability Theory
• A GENERALIZED BOLOTIN'S METHOD FOR STABILITY LIMIT DETERMINATION OF PARAMETRICALLY EXCITED SYSTEMS
• MULTI-PARAMETER LINEAR PERIODIC SYSTEMS: SENSITIVITY ANALYSIS AND APPLICATIONS
• Stability of solution of systems of linear differential equations with harmonic coefficients.

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