High Frequency Waves Propagating in Octagonal Bars: a Low Cost Computation Algorithm

Abstract

In this paper a hybrid semi-analytical Finite Element formulation is proposed to efficiently calculate the time dependent response due to stress waves propagating in a slender solid with uniform cross-section when excited by impulsive forces. The formulation takes advantage of the direct and inverse Fourier transform to formulate and solve the governing wave equation. The framework is applied to an octagonal viscoelastic isotropic steel bar.

Keywords

• Semi-analytical finite element
• time-transient response
• guided ultrasonic waves
• octagonal waveguides
• material absorption
• structural health monitoring