Longitudinal wave propagation. Part I—Comparison of rod theories

• Published in: Journal of sound and vibration Vol. 295; no. 3; pp. 461 - 478
• Main Authors: Krawczuk, Marek, Grabowska, Joanna, Palacz, Magdalena
• Format: Journal Article
• Language: English
• Published: London Elsevier Ltd 22-08-2006; Elsevier
• Subjects: Exact sciences and technology; Fundamental areas of phenomenology (including applications); Physics; Solid mechanics; Structural and continuum mechanics; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Difference frequency; Harmonic generator; Mindlin model; Spectral element method; Longitudinal wave; High frequency; Modeling; Spectral analysis
• ISSN: 0022-460X; 1095-8568
• DOI: 10.1016/j.jsv.2005.12.048

The paper introduces new four spectral elements for analysis of longitudinal wave propagation in structures. The developed elements are based on the elementary, Love, Mindlin–Herrmann and three-mode theories. Certain differences in wave propagation behaviour are observed for the analysed models. For lower excitation frequencies the results obtained for all models are similar and from a practical point of view the spectral element based on the Love theory is adequate. For high frequency excitation these differences are considerable and only the Mindlin–Herrmann or three-mode models give correct results.