Static and dynamic stability of nonlinear elastic systems under nonconservative forces - natural approach

DOI10.1016/0045-7825(82)90068-8zbMath0478.73054OpenAlexW1970530972MaRDI QIDQ1161344

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

Publication date: 1982

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(82)90068-8

zbMATH Keywords

coalescencelarge displacement-small strainnatural mode techniqueacceleration-dependentdisplacement-dependentsingle mode flutterstationary as well as instationaryvelocity- dependent

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) 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)

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Cites Work

• 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
• Nonlinear finite element analysis of elastic systems under nonconservative loading - natural formulation. II. Dynamic problems
• On configuration-dependent loading
• On the stability of approximation operators in problems of structural dynamics
• Evaluation of numerical integration methods in elastodynamics
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• General theory of elastic stability
• Stability of elastic rods via Liapunov's second method
• On an extension of Hamilton's variational principle to nonconservative systems which are conservative in a higher sense
• On the stability of equilibrium of continuous systems
• Applications of finite elements in space and time
• Potential flow analysis by finite elements
• Unconditional Stability in Numerical Time Integration Methods
• On large displacement-small strain analysis of structures with rotational degrees of freedom
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