PublicaciĂłn: EXISTENCE OF SOLUTION AND UNIFORM DECAY FOR A CONTACT PROBLEM IN LAMINATED BEAM

Fecha
2023
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APPLIED MATHEMATICAL MODELLING
Resumen
IN THIS PAPER, WE STUDY SIGNORINI?S PROBLEM FOR A LAMINATED TIMOSHENKO BEAM WITH INTERFACIAL SLIP. WE ASSUME THAT THE TRANSVERSE DISPLACEMENTS AT THE END OF THE BEAM ARE IN THE PRESENCE OF TWO RIGID OBSTACLES (SIGNORINI CONDITIONS). WE PROVE THE EXISTENCE OF SOLUTION AND ANALYZE THE ASYMPTOTIC BEHAVIOR OF THE SYSTEM. WE USE THE HYBRID-PENALIZED METHOD TO SHOW THE GLOBAL EXISTENCE OF AT LEAST ONE SOLUTION TO SIGNORINI?S PROBLEM AND FINALLY, NUMERICAL EXPERIMENTS VERIFY THE THEORETICAL RESULTS.
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Numerical experiments, Laminated beams, Dynamic vibrations, Contact problem Signorinis problem, Asymptotic behavior