Transient Vibration Analysis of Arbitrary Thin Plates Subjected to Air-Blast Load

Abstract

We can find the application of plated structures in the different fields of engineering like mechanical, civil, naval, and aerospace. These structures may be sometimes subjected to time-dependent loads like air-blast. In this paper, we use a superparametric element to analyze the thin plates of arbitrary geometries. We use cubic serendipity shape function to represent the plate geometry and an ACM plate bending element along with in-plane displacements to define the displacement field. The element can accommodate different arbitrary geometries, and there is no shearlocking problems as observed in isoparametric elements. We apply Newmark $$\beta$$ scheme with Newton–Raphson iteration technique to solve the nonlinear governing equation. We present different examples for linear and nonlinear transient vibration analyses to prove the efficacy of the numerical formulation.