Load identification in a plate-beam lattice from interior dynamic data.
Alexandre Kawano
Universidade de São Paulo (Brésil)
Date(s) : 17/12/2024 iCal
11h00 - 12h00
In this talk, we address the inverse problem of determining transverse dynamic loads on a clamped plate reinforced by two orthogonal sets of beams. Under the assumption of infinitesimal deformation – meaning that linear elasticity theory applies – a homogeneous isotropic material, and negligible beam torsional stiffness, we demonstrate that measuring the transverse response over a small region of the mid-plane and during a brief time interval uniquely identifies the spatial component of the load. This result extends to multiple asynchronous loads and underpins a reconstruction procedure, validated through numerical simulations. The main tools are almost periodic distributions and spherical means properties.
Emplacement
Saint-Charles - FRUMAM (2ème étage)
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