Concentrated Load Impulse Response of a Sandwich Beam/Wide Plate: Dynamic Elasticity and Extended High Order Sandwich Panel Theory Solutions

Abstract

The linear dynamic response of a simply supported orthotropic sandwich beam/wide panel subjected to a concentrated blast load is studied. The point-wise load is expressed as a Fourier sinusoidal series, i.e., a summation of distributed loads over the beam span, for which closed-form elasticity solutions can be derived. For the elasticity, the Laplace transform is used on the dynamic elasticity equations, and as a result, a closed-form solution is obtained in the Laplace domain. Then the numerical inverse Laplace transform and, in particular, the Euler method, is applied to obtain the time domain solution. The simply supported solution of the dynamic Extended High order Sandwich Panel Theory (EHSAPT) is also obtained for the terms of the load Fourier series and on the basis of the superposition principle, and the results are compared with the dynamic elasticity solution. Results are presented on both the deformation and stress fields at the transient phase of blast. The dynamic EHSAPT shows very good agreement with the dynamic elasticity and provides useful insight on the sandwich core failure mechanisms.