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

doi:10.3390/a2010227

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Algorithms 2009, 2(1), 227-246; doi:10.3390/a2010227

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

Alessandro Marzani ¹^,* and Ivan Bartoli ²

¹ Dipartimento di Ingegneria delle Strutture, dei Trasporti, delle Acque, del Rilevamento, del Territorio-DISTART, Università degli Studi di Bologna, Viale Risorgimento 2, 40136 Bologna, Italy ² NDE & Structural Health Monitoring Laboratory, Department of Structural Engineering, University of California, San Diego, 9500 Gilman Drive, La Jolla, CA 92093-0085, USA

* Author to whom correspondence should be addressed.

Received: 3 December 2008; in revised form: 23 January 2009 / Accepted: 11 February 2009 / Published: 17 February 2009

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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

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MDPI and ACS Style

Marzani, A.; Bartoli, I. High Frequency Waves Propagating in Octagonal Bars: a Low Cost Computation Algorithm. Algorithms 2009, 2, 227-246.

AMA Style

Marzani A., Bartoli I. High Frequency Waves Propagating in Octagonal Bars: a Low Cost Computation Algorithm. Algorithms. 2009; 2(1):227-246.

Chicago/Turabian Style

Marzani, Alessandro; Bartoli, Ivan. 2009. "High Frequency Waves Propagating in Octagonal Bars: a Low Cost Computation Algorithm." Algorithms 2, no. 1: 227-246.

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