L. Vuquoc et H. Deng, DYNAMICS OF GEOMETRICALLY-EXACT SANDWICH BEAMS 1-D PLATES - COMPUTATIONAL ASPECTS, Computer methods in applied mechanics and engineering, 146(1-2), 1997, pp. 135-172
A Galerkin projection of the complete equations of motion of geometric
ally-exact sandwich beams applicable to I-D plates is presented here.
The beam can take any arbitrary initial position in the 2-D space. Eac
h layer of the beam can have different material constants with no rest
riction on the mass distribution and layer thickness; further, each la
yer can take on different length, thus allowing the modeling of multil
ayer structures with ply drop-offs. Finite rotation and shear deformat
ion are accommodated for in each layer. The deformed cross section of
the beam is continuous, piecewise linear. The continuity of displaceme
nt across the interlayer boundaries is exactly enforced. Extensive num
erical examples including sandwich beams with three identical layers,
sandwich structures with ply drop-off, free flying and spin-up maneuve
r of sandwich beams are presented to illustrate the applicability and
versatility of the proposed formulation.