Analysis of a nonlinear beam in contact with a foundation

DOI10.1007/s00033-013-0348-7zbMath1296.35095OpenAlexW2056589828MaRDI QIDQ743557

Mbagne F. Mbengue

Publication date: 25 September 2014

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-013-0348-7

zbMATH Keywords

Signorini conditionnormal compliancedynamic contactnonlinear Gao beamrigid foundation

Mathematics Subject Classification ID

Variational inequalities (49J40) Contact in solid mechanics (74M15) Existence of solutions of dynamical problems in solid mechanics (74H20) PDEs in connection with mechanics of deformable solids (35Q74) Unilateral problems for nonlinear hyperbolic equations and variational inequalities with nonlinear hyperbolic operators (35L86)

Related Items

Optimal control of vibrations of a dynamic Gao beam in contact with a reactive foundation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Compact sets in the space \(L^ p(0,T;B)\)
• A nonlinear elastic beam system with inelastic contact constraints
• Finite deformation beam models and triality theory in dynamical post-buckling analysis
• Nonlinear elastic beam theory with application in contact problems and variational approaches
• Analysis and simulations of a nonlinear elastic dynamic beam
• Vibrations of a nonlinear dynamic beam between two stops
• Global existence and decay for the semilinear thermoelastic contact problem
• The control variational method for beams in contact with deformable obstacles
• Time-dependent implicit evolution equations
• SET-VALUED PSEUDOMONOTONE MAPS AND DEGENERATE EVOLUTION INCLUSIONS