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SUMMARY:Wiener-Hopf kernels versus lattice Green's functions in the analys
 is of wave propagation in semi-infinite discrete systems of elastic resona
 tors - Alexander Movchan (University of Liverpool)\, Natasha Movchan (Univ
 ersity of Liverpool)
DTSTART:20240705T083000Z
DTEND:20240705T091500Z
UID:TALK214966@talks.cam.ac.uk
DESCRIPTION:This is the joint talk with N.V. Movchan\n&nbsp\;\nThe lecture
  addresses Wiener-Hopf formulations for mathematical models which describe
  wave propagation in discrete semi-infinite elastic systems\, containing r
 esonators. The dynamic response of resonators\, attached to the main waveg
 uide\, appears in the governing equations as the inertial input\, which ma
 y be positive or negative&nbsp\; depending on the phase shift of a resonat
 or relative to the supporting structure.\n&nbsp\;\nWhen the structure is s
 emi-infinite\, the Wiener-Hopf approach provides an elegant model for a ti
 me-harmonic wave propagation\, and the corresponding functional equation i
 ncludes the kernel function\, which is linked to the lattice Green's funct
 ion of a periodic lattice. This connection is exploited here to discuss di
 fferent dynamic regimes for semi-infinite structured waveguides.\n&nbsp\;\
 nExamples and applications are discussed for flexural elastic waves in str
 uctured plates and beams\, including modelling of waves induced by a movin
 g load.&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
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