Abstract
This article is the first to classify the phenomenon of trapped modes initiation in elastic systems with mass–spring inclusions. Necessary and sufficient conditions for low- and high-frequency trapped modes were found. It is shown then that in elastic systems (beams, plates, shells) which are bounded by a continuous spectrum displaced from 0 and have mass inclusions, a discrete spectrum of natural frequencies occurs before the first boundary frequency. Trapping modes of oscillation corresponding to those frequencies possess a particularly pronounced local character in the inclusions region. The discrete spectrum displacement to the continuous spectrum axis and initiation of high-frequency trapped modes are accompanied by a phenomenon of traveling waves damping (antiresonance).
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
