Periodicity effects of axial waves in elastic compound rods

R. B. Nielsen, S. V. Sorokin

Research output: Contribution to journalJournal articleResearchpeer-review

20 Citations (Scopus)


Floquet analysis is applied to the Bernoulli-Euler model for axial waves in a periodic rod. Explicit asymptotic formulae for the stop band borders are given and the topology of the stop band pattern is explained. Eigenfrequencies of the symmetric unit cell are determined by the Phase-closure Principle, and their correspondence with stop band formation is shown. Steady-state and transient dynamics of a periodic rod of finite length are analysed numerically and the difference in structural response when excitation is done in either stop- or pass bands is demonstrated. A physical interpretation of the underlying mechanisms of stop bands is proposed.

Original languageEnglish
JournalJournal of Sound and Vibration
Pages (from-to)135-149
Publication statusPublished - 2015

Fingerprint Dive into the research topics of 'Periodicity effects of axial waves in elastic compound rods'. Together they form a unique fingerprint.

Cite this