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In this paper, we develop the radial basis function collocation method to calculate the phononic band structures. The band structures of anti-plane transverse waves,propagating obliquely or perpendicular to nanoscale multilayered piezoelectric composites with consideration of imperfect interface are studied. The feasibility of the present method is tested by comparing the results with those obtained by the transfer matrix method in the case of perfect interfaces. In addtion, the influences of the imperfect interface on the band gaps are investigated by comparing with the perfect interfaces. The effects of various interface conditions, piezoelectric effect, nanoscale size effect, impedance ratios and incidence angle on the cut-off frequency and the wave propagation behavior are discussed.

computation;numerical method