Free vibrations of finite periodic structures in pass- and stop-bands of the counterpart infinite waveguides. (7th July 2015)

• Record Type: Journal Article
• Authors: Hvatov, Alexander; Sorokin, Sergey
• Is Part Of: Journal of sound and vibration. Volume 347(2015)
• Page Start: 200
• Page End: 217
• Publication Date: 2015-07-07
• Subjects: Sound -- Periodicals; Vibration -- Periodicals; Son -- Périodiques; Vibration -- Périodiques; Sound; Vibration; Periodicals; Electronic journals; 620.205
• DOI: 10.1016/j.jsv.2015.03.003
• Languages: English
• ISSNs: 0022-460X

Abstract

Abstract: 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 comparison of the eigenfrequency spectra of finite periodic structures with location of stop-bands for their infinite counterparts. A hierarchy of four mathematical models is considered. In each case, special attention is paid to eigenfrequencies and eigenmodes of a single periodicity cell with appropriate boundary conditions. The influence of the amount of periodicity cells in a finite compound structure on its eigenfrequency spectrum is analyzed. Several features common for the considered models are found and discussed in the context of the existing knowledge on the subject.