Dynamics of a layered elastic system

Alexander F. Vakakis, Michael El Raheb, Cetin Cetinkaya

Research output: Contribution to journalConference articlepeer-review


The free and forced motions of ordered and disordered layered systems are analyzed. The structure of propagation and attenuation zones (PZs and AZs) of the infinite system depends on two nondimensional parameters ν and τ. Parameter ν is the ratio of the wave propagation durations at phase velocity through the two layers, whereas parameter τ is the ratio of mechanical impedances of the materials forming the two layers. Systems with finite values of ν and large or small values of τ, are weakly coupled and possess narrow PZs and wide AZs. For small or large values of τ, the finite periodic system includes dense `clusters' of natural frequencies; when forced by a trapezoidal pulse, the maximum compressional force of the first arrival of the stress wave is localized close to the point of application of the excitation. For values of τ of order unity this localization is eliminated. The effect on the free and forced response of disorder is then investigated.

Original languageEnglish (US)
Pages (from-to)663-672
Number of pages10
JournalCollection of Technical Papers - AIAA/ASME Structures, Structural Dynamics and Materials Conference
Issue numberpt 2
StatePublished - 1993
Event34th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference - La Jolla, CA, USA
Duration: Apr 19 1993Apr 22 1993

ASJC Scopus subject areas

  • Architecture
  • General Materials Science
  • Aerospace Engineering
  • Mechanics of Materials
  • Mechanical Engineering


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