Premium
A new family of explicit time integration methods for linear and non‐linear structural dynamics
Author(s) -
Chung Jintai,
Lee Jang Moo
Publication year - 1994
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620372303
Subject(s) - diagonal , damping matrix , linear system , mathematics , dissipation , mass matrix , matrix (chemical analysis) , stability (learning theory) , linear stability , diagonal matrix , dynamics (music) , mathematical analysis , control theory (sociology) , computer science , instability , physics , finite element method , geometry , structural engineering , mechanics , engineering , stiffness matrix , materials science , artificial intelligence , acoustics , control (management) , machine learning , nuclear physics , thermodynamics , neutrino , composite material
A new family of explicit single‐step time integration methods with controllable high‐frequency dissipation is presented for linear and non‐linear structural dynamic analyses. The proposed methods are second‐order accurate and completely explicit with a diagonal mass matrix, even when the damping matrix is not diagonal in the linear structural dynamics or the internal force vector is a function of velocities in the non‐linear structural dynamics. Stability and accuracy of the new explicit methods are analysed for the linear undamped/damped cases. Furthermore, the new methods are compared with other explicit methods.