Wave stress propagation in a rectangular FGM plate rest on winkler foundation

نویسندگانعلیرضا فلاح-علی قربانپور-رضا شاهوه
تاریخ انتشار۲۰۱۶-۷-۰۱
نوع نشریهالکترونیکی

چکیده مقاله

The wave propagation of a functionally graded plate is studied using the first-order shear deformation plate theory. Material graded properties are assumed in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents. Considering the effects of transverse shear deformation and rotary inertia, the governing equations of the wave propagation in the functionally graded plate are derived by using the Hamilton’s principle. The analytic dispersion relation of the functionally graded plate is obtained by solving an eigenvalue problem. Numerical examples show that the characteristics of wave propagation in the functionally graded plate are relates to the volume fraction index of the functionally graded plate. The influences of the volume fraction distributions on wave propagation of functionally graded plate are discussed in detail. The results carried out can be used in the ultrasonic inspection techniques and structural health monitoring.