Identification of dynamic loading on a bending plate using the Virtual Fields Method

Practical implementation of the corrected force analysis technique to identify the structural parameter and load distributions

“…The noise on the denominator of Eq. (11) (for FAT) and (14) (for CFAT) is therefore much higher than the noise on the numerator, which leads to very small values of the structural parameter. At higher frequencies, the results obtained by FAT and CFAT strongly differ.…”

Inverse identification of time-harmonic loads acting on thin plates using approximated Green’s functions

“…concentrated or distributed loads, is reconstructed using the measured response of the plate. The plate's response can be measured experimentally using different techniques such as optical defelctometry [11,21] or Laser Doppler velocimetry (LDV). [11] Practically, the measured parameters, including the velocity field in LDV or the local slopes along x and y in optical deflectometry, can be converted to other desired response data, such as deflection or curvature fields, using time integration or spatial derivatives of the measured response.…”

“…[11] Practically, the measured parameters, including the velocity field in LDV or the local slopes along x and y in optical deflectometry, can be converted to other desired response data, such as deflection or curvature fields, using time integration or spatial derivatives of the measured response. [21] A survey in the literature shows that different types of response data have so far been used in the previous studies depending on the formulation employed. For instance, in the Force Analysis Technique, the source function is identified from the deflection response at a proper number of internal points.…”

“…[15][16][17] The problem of inverse source identification on thin plates is also another interesting topic which has been investigated in numerous studies. [18][19][20][21][22] Recently, a notable review of force reconstruction techniques has been performed by Sanchez and Benaroya. [23] They have classified available techniques of force recovery into three categories, i.e.…”

To Estimate Non-Stationary Stochastic Distributed Load on a Beam Structure From Response Samples

“…The acoustic holography and the force analysis technique were adopted by Pezerat et al [11] to identify vibration sources from radiated noise measurements. The Virtual Fields Method was adopted by Berry et al [12] to identify both mechanical point load excitation and distributed acoustic excitation of a bending panel.…”