Uniform boundary stabilization of nonlinear spherical shells by using two controls only: Analysis and numerical computations

DOI10.1016/S0377-0427(99)00296-4zbMath0969.74045MaRDI QIDQ1970396

Rich Marchand

Publication date: 21 March 2000

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

uniform stabilizationelastic thin shallow spherical shellsemidiscrete finite element approximations of eigenvaluestwo boundary controls

Mathematics Subject Classification ID

Control, switches and devices (``smart materials) in solid mechanics (74M05) Finite element methods applied to problems in solid mechanics (74S05) Stability of dynamical problems in solid mechanics (74H55) Shells (74K25)

Related Items (1)

Finite element linear and nonlinear, static and dynamic analysis of structural elements, an addendum

Cites Work

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• Numerical analysis for eversion in elastic spherical caps equilibrium
• Compact sets in the space \(L^ p(0,T;B)\)
• Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping
• Global stabilization of a dynamic von Kármán plate with nonlinear boundary feedback
• Uniform stabilization of spherical shells by boundary dissipation
• Uniform boundary stabilization of a nonlinear shallow and thin elastic spherical cap
• Equilibrium of an Elastic Spherical Cap Pulled at the Rim
• Axisymmetric buckling of hollow spheres and hemispheres

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