Optimal damping of selected eigenfrequencies using dimension reduction
From MaRDI portal
Publication:5397299
DOI10.1002/nla.833zbMath1289.70028OpenAlexW2146355424WikidataQ115224031 ScholiaQ115224031MaRDI QIDQ5397299
Zoran Tomljanović, Ninoslav Truhar, Peter Benner
Publication date: 19 February 2014
Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/nla.833
Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Modal analysis in linear vibration theory (70J10) Multifrequency systems of ordinary differential equations (34C46)
Related Items (15)
Damping optimization over the arbitrary time of the excited mechanical system ⋮ Optimal direct velocity feedback ⋮ An improved numerical method for balanced truncation for symmetric second-order systems ⋮ Semi‐active damping optimization of vibrational systems using the parametric dominant pole algorithm ⋮ Damping optimization of the excited mechanical system using dimension reduction ⋮ Mixed control of vibrational systems ⋮ Damping optimization in mechanical systems with external force ⋮ Fast optimization of viscosities for frequency‐weighted damping of second‐order systems ⋮ Optimization of material with modal damping ⋮ Damping optimization of parameter dependent mechanical systems by rational interpolation ⋮ Approximation of damped quadratic eigenvalue problem by dimension reduction ⋮ Sampling-free model reduction of systems with low-rank parameterization ⋮ Perturbation theory for Hermitian quadratic eigenvalue problem -- damped and simultaneously diagonalizable systems ⋮ A new framework for H2-optimal model reduction ⋮ On the benefits of the \(L D L^T\) factorization for large-scale differential matrix equation solvers
Uses Software
Cites Work
- Unnamed Item
- An error estimate for matrix equations
- An efficient algorithm for damper optimization for linear vibrating systems using Lyapunov equation
- Dimension reduction of large-scale systems. Proceedings of a workshop, Oberwolfach, Germany, October 19--25, 2003.
- Second-order balanced truncation
- Structure-preserving model reduction using a Krylov subspace projection formulation
- Bounds on the trace of a solution to the Lyapunov equation with a general stable matrix
- The Quadratic Eigenvalue Problem
- Efficient balancing-based MOR for large-scale second-order systems
- Dimension reduction for damping optimization in linear vibrating systems
- Templates for the Solution of Algebraic Eigenvalue Problems
- Advanced Structural Dynamics and Active Control of Structures
- An Efficient Method for Estimating the Optimal Dampers' Viscosity for Linear Vibrating Systems Using Lyapunov Equation
- SOAR: A Second-order Arnoldi Method for the Solution of the Quadratic Eigenvalue Problem
- Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]
- A Simplex Method for Function Minimization
- Balancing and model reduction for second-order form linear systems
- Approximation of Large-Scale Dynamical Systems
This page was built for publication: Optimal damping of selected eigenfrequencies using dimension reduction
