A family of second-order fully explicit time integration schemes
type: Item
instance of: scholarly article
title: A family of second-order fully explicit time integration schemes
zbMATH Open document ID: 1432.65092
author: Mohammad Rezaiee-Pajand
author: Mahdi Karimi-Rad
published in: Computational and Applied Mathematics
publication date: 2018-11-05T00:00:00Z
review text: Following their earlier work on numerical solution of equations of motion in nonlinear structural dynamics [Int. J. Struct. Stab. Dyn. 16, No. 9, Article ID 1550054, 26 p. (2016; Zbl 1359.65117)], the authors propose a new family of fully explicit time-integration methods. These have second-order accuracy for structures with or without damping. Using a diagonal mass matrix, the scheme remains fully explicit for structures with a non-diagonal damping matrix, and also when the internal force vector is a nonlinear function of velocity. The algorithm is self-starting and has an acceptable domain of stability. Numerical dissipation is used to suppress high-frequency spurious modes without affecting lower modes too much. The method is tested on several numerical examples coming from applications.
reviewed by: Alan L. Andrew
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 65L12
Mathematics Subject Classification ID: 74S05
zbMATH DE Number: 6973271
zbMATH Keywords: explicit time integration
zbMATH Keywords: second-order accuracy
zbMATH Keywords: numerical dissipation
zbMATH Keywords: nonlinear structural dynamics
zbMATH Keywords: numerical dispersion
MaRDI profile type: Publication
full work available at URL: s40314-017-0520-3
OpenAlex ID: W2766241857
cites work: Q3453948
cites work: A family of noniterative integration methods with desired numerical dissipation
cites work: A new family of explicit time integration methods for linear and non‐linear structural dynamics
cites work: Q4133280
cites work: Comparative research on semi-active control strategies for magneto-rheological suspension
cites work: Analysis and design of the force and displacement transmissibility of nonlinear viscous damper based vibration isolation systems
cites work: A modified Euler method for dynamic analyses
cites work: Q3773481
cites work: Discontinuity-capturing operators for elastodynamics
cites work: Explicit time integration algorithms for structural dynamics with optimal numerical dissipation
cites work: Benchmark problems for wave propagation in elastic materials
cites work: Numerical damping of spurious oscillations: a comparison between the bulk viscosity method and the explicit dissipative Tchamwa-Wielgosz scheme
cites work: Energy conserving balance of explicit time steps to combine implicit and explicit algorithms in structural dynamics
cites work: Numerical time integration for dynamic analysis using a new higher order predictor‐corrector method
cites work: Time Integration Method Based on Discrete Transfer Function
cites work: A New Explicit Time Integration Scheme for Nonlinear Dynamic Analysis
cites work: Comparative study of numerical explicit time integration algorithms
cites work: A simple and effective new family of time marching procedures for dynamics
cites work: A survey of direct time-integration methods in computational structural dynamics—II. Implicit methods
cites work: Q3995634
cites work: A NEW EXPLICIT TIME INTEGRATION METHOD FOR STRUCTURAL DYNAMICS
cites work: Q4355323
DOI: 10.1007/S40314-017-0520-3
description: scientific article; zbMATH DE number 6973271