Free vibrations of finite periodic structures in pass- and stop-bands of the counterpart infinite waveguides

• Published in: Journal of sound and vibration Vol. 347; pp. 200 - 217
• Main Authors: Hvatov, Alexander, Sorokin, Sergey
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 07.07.2015
• Subjects: Eigenfrequencies; Free vibration; Hierarchies; Mathematical analysis; Mathematical models; Periodic structures; Spectra; Vibration

The existence of frequency stop-bands, in which transmission of the vibro-acoustic energy is impossible, suggests that the periodic structures may be used for vibro-isolation. In any technical application, however, only a finite segment of such a structure can be used. This paper is concerned with c...