We study the transient response of a linearly elastic shallow shell in bilateral contact with a rigid body along part of its lateral boundary, with either Norton or Tresca friction. This analysis is carried out using the Trotter theory for the convergence of semigroups of operators acting on varying spaces. Depending on the relative magnitudes of the physical and geometrical parameters of the problem—formulated in Cartesian coordinates—the asymptotic analysis leads to different limit models, whose properties are described in detail below.
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