Nonlinear finite element analysis of elastic systems under nonconservative loading - natural formulation. II. Dynamic problems

DOI10.1016/0045-7825(81)90107-9zbMath0489.73070OpenAlexW2089324932MaRDI QIDQ1166982

Sp. Symeonidis, K. Straub, J. H. Argyris

Publication date: 1981

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(81)90107-9

zbMATH Keywords

nonlinear finite element analysiscirculatory (follower) typedirect integration of equations of motiondynamic post-flutter responseimplicit unconditionally stable schemeNewmark temporal operatornon- conservative external forces

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Stability of dynamical problems in solid mechanics (74H55) Bifurcation and buckling (74G60)

Related Items

On the dynamics in space of rods undergoing large motions - A geometrically exact approach ⋮ Flutter of a cantilever rod with a relocatable lumped mass ⋮ Damping effects on the dynamic stability of a rod subjected to intermediate follower loads ⋮ On the stability of elastic structures subjected to follower forces ⋮ Static and dynamic stability of nonlinear elastic systems under nonconservative forces - natural approach ⋮ Extended variational formulations and F.E. models for nonlinear beams under nonconservative loading

Cites Work

• On the large strain inelastic analysis in natural formulation. II. Dynamic problems
• Nonlinear finite element analysis of elastic systems under nonconservative loading - natural formulation. Part I. Quasistatic problems
• A sequel to: Nonlinear finite element analysis of elastic systems under nonconservative loading - natural formulation. I. Quasistatic problems
• On the stability of approximation operators in problems of structural dynamics
• Evaluation of numerical integration methods in elastodynamics
• Non-linear oscillations using the finite element technique
• Applications of finite elements in space and time
• Unconditional Stability in Numerical Time Integration Methods
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