Evaluation of numerical integration methods in elastodynamics

From MaRDI portal
Publication:2558792

DOI10.1016/0045-7825(73)90023-6zbMath0255.73085OpenAlexW2070921548MaRDI QIDQ2558792

G. L. Goudreau, Robert L. Taylor

Publication date: 1973

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(73)90023-6




Related Items (51)

A Petrov-Galerkin formulation for the alpha interpolation of FEM and FDM stencils: Applications to the Helmholtz equationA superconvergent isogeometric formulation for eigenvalue computation of three dimensional wave equation\(\eta\) method of numerical integrationImplicit-explicit finite elements in nonlinear transient analysisSpectral variational multiscale model for transient dynamics of phononic crystals and acoustic metamaterialsMulti-time-step explicit-implicit method for non-linear structural dynamicsFully coupled thermomechanical behaviour of viscoelastic solids treated with finite elementsExplicit and implicit methods for shear band modeling at high strain ratesAccuracy of string element mass matrixGrid dispersion analysis of plane square biquadratic serendipity finite elements in transient elastodynamicsA general technique to improve stability property for a structure-dependent integration methodA novel design of an isochronous integration [iIntegration framework for first/second order multidisciplinary transient systems] ⋮ A NURBS-based finite element model applied to geometrically nonlinear elastodynamics using a corotational approachTemporal-spatial dispersion and stability analysis of finite element method in explicit elastodynamicsA re‐evaluation of overshooting in time integration schemes: The neglected effect of physical damping in the starting procedureLoad aliasing—A new additional test concept for effective control of nonhomogeneous high‐frequency behavior in linear multistep methodsA monolithic finite element formulation for the hydroelastic analysis of very large floating structuresNonlinear dynamic analysis of space trussesNonlinear dynamic analysis of curved beamsComparisons of Structure-Dependent Explicit Methods for Time IntegrationStatic and dynamic stability of nonlinear elastic systems under nonconservative forces - natural approachAn element-by-element solution algorithm for problems of structural and solid mechanicsNonlinear finite element analysis of elastic systems under nonconservative loading - natural formulation. II. Dynamic problemsAn explicit dynamics extended finite element method. II: Element-by-element stable-explicit/explicit dynamic schemeMixed interpretation and extensions of the equivalent mass matrix approach for elastodynamics with contactThe influence of the mass matrix on the dispersive nature of the semi-discrete, second-order wave equationSuperconvergent isogeometric analysis of natural frequencies for elastic continua with quadratic splinesA unified quadrature-based superconvergent finite element formulation for eigenvalue computation of wave equationsSynchronous and Concurrent Multidomain Computing Method for Cloud Computing PlatformsMultiphysics and thermodynamic formulations for equilibrium and non-equilibrium interactions: non-linear finite elements applied to multi-coupled active materialsOn the performance of GFEM with trigonometric enrichment in bidimensional dynamic elastoplastic modellingNon‐linear dynamic analysis by three‐dimensional ordinary differential equationsConvergence of the space-time element method with rectangular elementsStability analysis of linear multistep methods for classical elastodynamicsAnalysis of some fully-discrete algorithms for the one-dimensional heat equationInvestigation of WBZ‐α method for solving nonlinear systemsA finite element method for a class of contact-impact problemsStability and accuracy of DQ-based step-by-step integration methods for structural dynamicsAn analysis of an implicit finite element algorithm for geometrically nonlinear problems of structural dynamics. I: StabilityNumerical solution of transient nonlinear problemsStructure-dependent improved Wilson-\(\theta\) method with higher order of accuracy and controllable amplitude decayA quadrature-based superconvergent isogeometric frequency analysis with macro-integration cells and quadratic splinesAn unusual amplitude growth property and its remedy for structure-dependent integration methodsA direct integration method for analysis of a certain class of non-linear dynamic problemsNon-linear oscillations using the finite element techniqueA family of noniterative integration methods with desired numerical dissipationDevelopment of rotationally consistent diagonal mass matrices for plate and beam elementsConsistent discontinuous finite elements in elastodynamicsAn automatic time-stepping algorithm for dynamic problemsTime discretized operators. I: Towards the theoretical design of a new generation of a generalized family of unconditionally stable implicit and explicit representations of arbitrary order for computational dynamics.A fourth-order compact scheme for the Helmholtz equation: Alpha-interpolation of FEM and FDM stencils



Cites Work


This page was built for publication: Evaluation of numerical integration methods in elastodynamics