Convergence of iterative methods for nonclassically damped dynamic systems

DOI10.1016/0096-3003(94)90146-5zbMath0810.73034OpenAlexW2157558856WikidataQ126409541 ScholiaQ126409541MaRDI QIDQ1320121

Ravi Kumar, Firdaus E. Udwadia

Publication date: 6 June 1994

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(94)90146-5

zbMATH Keywords

numerical examplesdamping matrixlinear second order differential equationsreal general matrix

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Vibrations in dynamical problems in solid mechanics (74H45) Linear vibration theory (70J99)

Related Items (2)

Fast stochastic analysis for non-proportionally damped system ⋮ Convergence of iterative methods for nonclassically damped dynamic systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A simple method to generate test matrices of known eigenvalue or singular value spectra
• Some convergence results related to the JOR iterative method for symmetric, positive-definite matrices
• Convergence of iterative methods for nonclassically damped dynamic systems
• Large errors in approximate decoupling of nonclassically damped linear second-order systems under harmonic excitations
• On Uncoupling and Solving the Equations of Motion of Vibrating Linear Discrete Systems
• Classical Normal Modes in Damped Linear Dynamic Systems
• Nonclassically Damped Dynamic Systems: An Iterative Approach
• Closeness of the Solutions of Approximately Decoupled Damped Linear Systems to Their Exact Solutions

This page was built for publication: Convergence of iterative methods for nonclassically damped dynamic systems