Asymptotic modelling theorems for the static analysis of linear elastic structures

DOI10.1098/rspa.2005.1519zbMath1370.74023OpenAlexW2122137172MaRDI QIDQ5428320

Sinniah Ilanko

Publication date: 21 November 2007

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2005.1519

zbMATH Keywords

structural analysisnegative stiffnessasymptotic modellingartificial restraintnegative penalty parameter

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Thin bodies, structures (74K99) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Elastic materials (74B99)

Related Items (5)

Bipenalty method from a frequency domain perspective ⋮ Tyings in linear systems of equations modelled with positive and negative penalty functions ⋮ The use of negative penalty functions in linear systems of equations ⋮ Wittrick–Williams algorithm proof of bracketing and convergence theorems for eigenvalues of constrained structures with positive and negative penalty parameters ⋮ The use of pseudo-inertia in asymptotic modelling of constraints in boundary value problems

Cites Work

• Unnamed Item
• Some observations on the enforcement of constraint equations in the EFG method
• EXISTENCE OF NATURAL FREQUENCIES OF SYSTEMS WITH ARTIFICIAL RESTRAINTS AND THEIR CONVERGENCE IN ASYMPTOTIC MODELLING
• ASYMPTOTIC MODELLING OF RIGID BOUNDARIES AND CONNECTIONS IN THE RAYLEIGH–RITZ METHOD
• Natural frequencies of circular and annular plates with radial or circumferential cracks
• The use of negative penalty functions in constrained variational problems
• Variational methods for the solution of problems of equilibrium and vibrations

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