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

作     者：Hvatov, Alexander Sorokin, Sergey 

作者机构：State Marine Tech Univ St Petersburg Dept Math St Petersburg 190008 Russia Aalborg Univ Dept Mech & Mfg Engn DK-9220 Aalborg Denmark 

出 版 物：《JOURNAL OF SOUND AND VIBRATION》 (声音与振动杂志)

年 卷 期：2015年第347卷

页      面：200-217页

核心收录：

学科分类：07[理学] 082403[工学-水声工程] 08[工学] 070206[理学-声学] 0802[工学-机械工程] 0824[工学-船舶与海洋工程] 0801[工学-力学（可授工学、理学学位）] 0702[理学-物理学] 

主　　题：FREE vibration FINITE fields (Algebra) ENERGY bands WAVEGUIDES INFINITY (Mathematics) 

摘      要：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 *** is analyzed. Several features common for the considered models are found and discussed in the context of the existing knowledge on the subject. (C) 2015 Published by Elsevier Ltd.