Relaxed representations and improving stability in time-stepping analysis of three-dimensional structural nonlinear dynamics
type: Item
instance of: scholarly article
title: Relaxed representations and improving stability in time-stepping analysis of three-dimensional structural nonlinear dynamics
zbMATH Open document ID: 1298.74098
author: Salvatore Lopez
published in: Nonlinear Dynamics
publication date: 2013-01-04T00:00:00Z
Mathematics Subject Classification ID: 74H15
Mathematics Subject Classification ID: 74S05
zbMATH DE Number: 6122195
zbMATH Keywords: numerical stability
zbMATH Keywords: time relaxed representation
zbMATH Keywords: three-dimensional beam element
zbMATH Keywords: Newmark approximation
MaRDI profile type: Publication
full work available at URL: s11071-011-0298-6
OpenAlex ID: W2124901528
cites work: Finite-Element Methods for Nonlinear Elastodynamics Which Conserve Energy
cites work: The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics
cites work: A new energy and momentum conserving algorithm for the non‐linear dynamics of shells
cites work: Generalized energy-momentum method for nonlinear adaptive shell dynamics
cites work: Development of an implicit method with numerical dissipation from a generalized single-step algorithm for structural dynamics
cites work: A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
cites work: A unified set of single step algorithms. Part 1: General formulation and applications
cites work: Q4109239
cites work: Q4512883
cites work: Changing the representation and improving stability in time-stepping analysis of structural nonlinear dynamics
cites work: ODE Methods for the Solution of Differential/Algebraic Systems
cites work: Index Reduction in Differential-Algebraic Equations Using Dummy Derivatives
cites work: Non‐linear transient finite element analysis with convected co‐ordinates
cites work: An excursion into large rotations
cites work: The use of projectors to improve finite element performance
cites work: A beam finite element non-linear theory with finite rotations
cites work: A consistent co-rotational formulation for nonlinear, three-dimensional, beam-elements
cites work: On the role of geometrically exact and second-order theories in buckling and post-buckling analysis of three-dimensional beam structures
cites work: Constrained integration of rigid body dynamics
cites work: Constrained dynamics of geometrically exact beams
cites work: Q3953228
cites work: On the stability of symplectic and energy-momentum algorithms for nonlinear Hamiltonian systems with symmetry
cites work: Constraint energy momentum algorithm and its application to nonlinear dynamics of shells
DOI: 10.1007/S11071-011-0298-6
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description: scientific article; zbMATH DE number 6122195