Alternative integration methods for problems in structural dynamics

DOI10.1016/0045-7825(94)00717-2zbMath0851.73076OpenAlexW2019618327MaRDI QIDQ1913255

Brynjulf Owren, H. H. Simonsen

Publication date: 22 May 1996

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(94)00717-2

zbMATH Keywords

parameternumerical dissipationalpha dampingNewmark methodssingly-diagonally-implicit Runge-Kutta methods

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Finite difference methods applied to problems in solid mechanics (74S20)

Related Items

Vibrations of a beam between stops: Numerical simulations and comparison of several numerical schemes, Unnamed Item, Performance of implicit A-stable time integration methods for multibody system dynamics, An adaptive scalable fully implicit algorithm based on stabilized finite element for reduced visco-resistive MHD, Large-scale contact/impact simulation and sensitivity analysis on distributed-memory computers, Runge-Kutta-Nyström methods with maximized stability domain in structural dynamics, Positive numerical integration methods for chemical kinetic systems, The TR-BDF2 method for second order problems in structural mechanics, Runge-Kutta research in Trondheim, Order reduction of stiff solvers at elastic multibody systems, Homogenization of a multiscale viscoelastic model with nonlocal damping, application to the human lungs, Numerical analysis of dynamic problems: an alternative integration

Uses Software

• RODAS

Cites Work

• Phase properties of high order, almost P-stable formulae
• Diagonally Implicit Runge-Kutta Formulae with Error Estimates
• Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s
• Unnamed Item
• Unnamed Item
• Unnamed Item