Elastic wave propagation in symmetrically periodic sinusoidal waveguide

摘要

Wave propagation in structures with irregular boundaries is studied by transforming the plates with irregular surfaces to sinusoidal wave-guides. Guided elastic wave in a two-dimensional periodically corrugated plate is studied analytically. The plate material is considered as homogeneous, isotropic and linearly elastic. In a periodically corrugated wave-guide all possible spectral order of wave numbers are considered. The dispersion equation is obtained by applying the traction free boundary conditions. The analysis is carried out in the wave-number domain for symmetric modes. Non-propagating 'stop bands' and propagating 'pass bands' are investigated.