Semianalytical modeling of plate flexural waves generated by laser-initiated air shock waves

Abstract

shapes of the generated flexural wave pulses have been calculated for different values of laser pulse energy and for different heights of the laser beam focusing above the plate surface. The obtained theoretical results have been compared with the results of the reduced-scale model experiments on shock wave interaction with the ground in which large plastic and wooden plates have been used to represent the ground surface. The comparison shows that the obtained semi-analytical results are in good agreement with the experimental ones.

Generation of flexural waves in plates by laser-initiated airborne shock waves

“…Some of the results of this paper have been presented at the UK Institute of Acoustics Spring Conference 2008 in Reading [12] and at the conference 'Acoustics -08' in Paris [13].…”

“…The well-known analytical expressions for air particle velocity and pressure in the front of a shock wave are used to describe this surface force as a function of time and distance from the epicentre. The shock wave pressure behind the front is approximated as a combination of two exponential functions in order to model positive and negative phases of a shock wave typical for larger distances between the shock wave origin and the point of observation (see also [12,13]). The problem is then solved using the Green's function method applied to an infinite plate.…”

Generation of Rayleigh-type Waves on Plate Edges by Laser-initiated Airborne Shock Waves

“…In that investigation, a semi-analytical method to describe interaction of air shock waves with an elastic half space was developed. More recently, the generation of flexural waves in thin plates due to laser-induced airborne shock waves has been studied by the present authors both theoretically and experimentally [11,12].…”

“…Using the expressions (1) and (2) valid for the shock wave front, the entire pressure pulse due to the air shock wave will be approximated by the two exponential functions [11,12]. This reflects the fact that for medium and large distances, which are of main interest for the experiments to be described below, the shock wave pressure initially undergoes a discontinuous jump above the atmospheric pressure.…”