Abstract

In general, bending waves transfer the largest portion of shock energy in a plate-like structure. This study proposes a new shock reduction method using an elastic patch designed to defocus the bending waves through the refraction of the waves so that it is possible to effectively reduce the propagating shock for a certain target area. Elastic patches of three different shapes were considered. The shock reduction performance of these patches was analytically, numerically, and experimentally investigated and compared. All results consistently showed that attached patches can effectively reduce passing waves for areas behind patches. Therefore, utilizing the proposed methods, we can reduce the transient shock response at certain target areas of various practical structures without degradation of structural stiffness or strength simply by bonding with an elastic patch.

Highlights

  • Erefore, utilizing the proposed methods, we can reduce the transient shock response at certain target areas of various practical structures without degradation of structural stiffness or strength by bonding with an elastic patch

  • Introduction ere have been many efforts to reduce structural shocks propagating as elastic waves in various engineering applications, including aerospace structures in which thin platelike structures are often used as basic elements. e application of shock absorbers is the most common method to reduce shock propagation

  • Since 2000, many investigations have been conducted to manipulate elastic waves in plates. ere are various wave manipulation methods, such as the use of an acoustic black hole (ABH) or of metastructures. e acoustic black hole effect, introduced by Mironov [6], can achieve almost perfect absorption of the incident wave energy. e main principle is a linear or higher-order power-law decrease in the velocity of the incident wave. e ABH effect has been investigated mainly for bending waves in thin plates [7]. e ABH technique shows good performance in absorbing wave energy; there is a difficulty in that the already thinplate structure needs to be made thinner or needs cut-out

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Summary

Incident wave

As a preliminary study on the wave refraction by the elastic patch, theoretical, numerical, and experimental studies were conducted to identify the effect of patch thickness on the bending wave propagation in the laminated plates combined by adhesives. E location of the neutral axis, e, from the bottom surface of the host plate defined as z 0, is given by the coordinate system for which the first moment of area is zero when integrated over the entire cross section [21]:. Zp, za, and zh are the locations of the neutral axis of the patch, adhesive, and host plate, respectively. E effective bending stiffness of the plate assembly shown in Figure 3 can be explained using the sandwich plate theory [21] Where E and ] are Young’s modulus and Poisson’s ratio. e subscripts p, a, and h, respectively, denote the patch, the adhesive, and the host plate. zp, za, and zh are the locations of the neutral axis of the patch, adhesive, and host plate, respectively. e effective bending stiffness of the plate assembly shown in Figure 3 can be explained using the sandwich plate theory [21]

Neutral axis ws w wb x
Patch Adhesive Host plate
FEA Analytical Experimental
Reached to the defined length of the ray?
Normalized ray density
Repeat until the stage reach to the final position
Normalized acceleration
Reduction ratio
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