Terapabkajornded Y.Orankitjaroen S.Licht C.Weller T.Mahidol University2024-07-092024-07-092024-01-01Comptes Rendus - Mecanique Vol.352 (2024) , 201-22216310721https://repository.li.mahidol.ac.th/handle/20.500.14594/99587A dimension reduction problem is tackled using Trotter’s theory of convergence of semi-groups of operators acting on variable spaces [1, 2]. We show that this framework makes it possible to perform the asymptotic analysis for both viscoelastic thin plates and slender beams in a unifying manner. Several models are provided for the dynamic behavior of such structures in bilateral contact with a rigid body on a part of their boundaries with Norton or Tresca friction.Materials ScienceEngineeringArticleSCOPUS10.5802/crmeca.2522-s2.0-8519728561718737234