Efficient layerwise finite element model for dynamic analysis of laminated piezoelectric beams

摘要: Abstract An one-dimensional beam finite element with electric degrees of freedom is presented for the dynamic analysis hybrid piezoelectric beams, using coupled efficient layerwise (zigzag) theory developed recently by authors. The has two nodes four mechanical and a variable number potential at each node. In thickness direction, field approximated as piecewise linear across an arbitrary sub-layers in layers. Cubic Hermite interpolation used deflection potentials axial displacement shear rotation. formulation validated comparing results available analytical solution zigzag composite sandwich beams simply-supported ends. model free locking. present natural frequencies, mode shapes forced vibration response cantilever clamped–clamped are compared two-dimensional ABAQUS to establish accuracy under these boundary conditions.