Multi-step numerical integrators for time-dependent vibrating systems
type: Item
instance of: scholarly article
title: Multi-step numerical integrators for time-dependent vibrating systems
zbMATH Open document ID: 0631.73068
DOI: 10.1016/0045-7825(88)90165-X
author: Xiaochun Gao
author: Qixian Zhang
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1988-01-01T00:00:00Z
review text: By means of the weighted residual method a general form of linear multistep methods is developed for time-dependent vibrating systems and a feasible two-step method is then obtained. Finally two examples are analyzed to show its applications to the initial value problems of time- dependent systems and the steady-state solution of periodically time- dependent ones. To the authors' knowledge, this is the first time that numerical methods for direct integration of the motion equations of time- dependent vibrating systems have been deeply investigated.
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 65K10
zbMATH DE Number: 4026958
zbMATH Keywords: weighted residual method
zbMATH Keywords: linear multistep methods
zbMATH Keywords: time-dependent vibrating systems
zbMATH Keywords: feasible two-step method
zbMATH Keywords: initial value problems
zbMATH Keywords: steady-state solution
zbMATH Keywords: periodically time-dependent
MaRDI profile type: Publication
cites work: A Pre´cis of Developments in Computational Methods for Transient Analysis
cites work: A further look at Newmark, Houbolt, etc., time-stepping formulae
description: scientific article; zbMATH DE number 4026958