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# Inverse identification of time-harmonic loads acting on thin plates using approximated Green’s functions, Inverse Problems in Science and Engineering, 2016

In this paper, a non-iterative technique is proposed for the transverse

load identification on Kirchhoff plates using approximate Green’s

functions (AGFs). In this way, we firstly employ the recently introduced

meshless method to construct the AGFs, as the combination of a

series of Trefftz basis, i.e. Exponential basis functions (EBFs), and the

fundamental solutions of the governing equation. As will be explained,

using a proper set of EBFs, as well as a collocation technique, enables

us to construct the AGFs for different types of domain shape and

boundary conditions. In the second step, a set of artificially generated

results, in the absence of realistic experimental results, are used to

express the plate’s response field, i.e. deflection or velocity fields, as

a series of AGFs through a collocation technique. It will be shown

how the constant coefficients of the response series are related to

the intensity of the reconstructed force at a set of selected points. The

proposed method is capable of constructing both distributed and

concentrated loads with desirable accuracy. This ability is shown in

the solution of three sample problems of the static and time-harmonic

Journal Papers

Month/Season:

January

Year:

2016