Dynamic analysis of an inclined sandwich beam with bidirectional functionally graded face sheets under a moving mass

Dynamic analysis of an inclined sandwich beam under a moving mass is presented on the basis of a third-order shear deformation theory. The core of the sandwich beam is homogeneous while the two face sheets are made from three-phase bidirectional functionally graded material with effective properties varying in both the axial and transverse directions by power gradation laws. A finite element formulation for the inclined beam, in which the stiffness and mass matrices are evaluated explicitly, is derived by using the transverse shear rotation as an independent variable. Taking into account the effects of the inertial, Coriolis and centrifugal forces, a moving mass element is formulated and superimposed on the beam matrices to construct the equation of motion. The numerical result reveals that the material gradation plays an important role on the dynamic response of the beam, and the desired dynamic characteristics can be obtained by approximately choosing the power-law indexes. The effects of the moving mass velocity, the material gradation, the beam inclined angle and the layer thickness ratio on the dynamic behaviour of the beams are studied in detail and highlighted.

Automated summary

Dynamic analysis of an inclined sandwich beam under a moving mass was conducted based on a third-order shear deformation theory, revealing the significant impact of material gradation on the dynamic response of the beam.