The Location of Pass and Stop Bands of an Infinite Periodic Structure Versus the Eigenfrequencies of Its Finite Segment Consisting of Several "Periodicity Cells"
Abstract eng: On the classical example of a rod (membrane, string) with periodically located inertial inclusions, it is proved that all eigenfrequencies of a finite periodic structure fall into pass-bands of corresponding infinite system in the symmetrical case. In the unsymmetrical case, some eigenfrequencies may not follow this rule. The exact equations for eigenfrequencies and the explicit expressions for power flow are obtained. The asymptotic analysis of power flow in an infinite periodic structure is carried out and the structure of pass- and stop-bands is explored. The modes of free vibrations of a finite periodic structure are analyzed with the special attention to edge effects.
Publisher:
National Technical University of Athens, 2013
Conference Title:
Conference Title:
COMPDYN 2013 - 4th International Thematic Conference
Conference Venue:
Island of Kos (GR)
Conference Dates:
2013-06-12 / 2013-06-14
Rights:
Text je chráněný podle autorského zákona č. 121/2000 Sb.
Record appears in:
Record created 2016-11-15, last modified 2016-11-15
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