On linear vibrational systems with one dimensional damping. II

DOI10.1007/BF01198923zbMath0723.70020MaRDI QIDQ757111

Krešimir Veselić

Publication date: 1990

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

quadratic eigenvalue problemdamped oscillationsLjapunov equationone-dimensional damping matrix

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (18)

Optimal direct velocity feedback ⋮ An efficient algorithm for damper optimization for linear vibrating systems using Lyapunov equation ⋮ Inverse problem for a damped Stieltjes string from parts of spectra ⋮ On small vibrations of a damped Stieltjes string ⋮ Bounds on the trace of a solution to the Lyapunov equation with a general stable matrix ⋮ Non-self-adjoint Jacobi matrices with a rank-one imaginary part ⋮ An inverse spectral problem for a nonnormal first order differential operator ⋮ Pseudospectra for the wave equation with an absorbing boundary ⋮ Inverse eigenvalue problems for a damped Stieltjes string with mixed data ⋮ Damping optimization of the excited mechanical system using dimension reduction ⋮ Damped star graphs of Stieltjes strings ⋮ Mixed control of vibrational systems ⋮ On the relationship between the multiplicities of eigenvalues in finite- and infinite-dimensional problems on graphs ⋮ Optimizing a damped system – a case study ⋮ Approximation of damped quadratic eigenvalue problem by dimension reduction ⋮ Lyapunov optimization of a damped system ⋮ Direct and inverse spectral problems for a star graph of Stieltjes strings damped at a pendant vertex ⋮ Inverse problem for a Stieltjes string damped at an interior point

Uses Software

• Algorithm 432

Cites Work

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• Unnamed Item
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• Quadratic matrix polynomials with a parameter
• Selective perturbation of spectral properties of vibrating systems using feedback
• Inverse eigenvalue problems for damped vibrating systems
• On linear vibrational systems with one dimensional damping
• Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]
• Die Abbildung eines allgemeinen Schwingungssystems auf eine einfache Schwingerkette

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