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Surface Deformation and Surface Waves in Crystal Lattices
Wave Motion in Solids with Lamellar Structuring
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antisymmetric apply approximate atoms behavior boundary conditions complex modulus components composite structure computed continuum theory corresponding cosh coshq coupling coefficient cut-off frequency damping defined deformation determined dimensionless dispersion curves displacements effective dynamic modulus elastic equations of motion excitation experimental force constants frequency band frequency equation function geometry helix angle homogeneous interactions kinetic energy laminated medium layered plate lowest mode material matrix layers mean-square velocity measurements mechanical modal density mode groups mode set nearest neighbors normalized frequencies number of layers number of modes obtained oooooooooooooooooooooooooooooooo oscillations panel phase velocity plane strain plate theory power flow predictions radial reinforcing layers relation resonant modes response semi-infinite shroud solid solutions statistical energy analysis statistical energy approach strain energy strain variation stress strain structural elements surface waves time-average uj u1 UJ UJ UJ values vibration viscoelastic viscose wave length wave number wave propagation yarn strain zero