Sj. Song et Am. Waas, EFFECTS OF SHEAR DEFORMATION ON BUCKLING AND FREE-VIBRATION OF LAMINATED COMPOSITE BEAMS, Composite structures, 37(1), 1997, pp. 33-43
Buckling and free vibration of stepped laminated composite beams were
studied using simple higher-order theory (SHOT) which assumes a cubic
distribution for the displacement field through the thickness. The res
ults were compared to those from Euler-Bernoulli beam theory and Timos
henko's first-order shear beam theory. The results from SHOT did not s
how significant differences to those from Timoshenko theory for a wide
range of aspect ratios of the beam geometry and material properties.
In addition, the results from SHOT did not necessarily show more compl
iant results than those from Timoshenko beam theory. A two-dimensional
(2-D) elasticity solution was obtained for the buckling of clamped-cl
amped beams to further investigate this phenomenon. The 1-D shear beam
theories of Timoshenko and SHOT resulted in more compliant responses
than 2-D solutions. The shear beam theories approached the 2-D solutio
n from below while Euler-Bernoulli beam theory approached the 2-D solu
tion from above. (C) 1997 Elsevier Science Ltd.