Influence of Fiber Orientation on the Natural Frequencies of Laminated Composite Beams

In this study the effect of the fiber orientation on the natural frequencies of free vibration of laminated composite
beams was investigated The problem is analyzed and solved using the energy approach which is formulated by a
finite element model In that model a three noded element with three degrees of freedom at each node is assumed
Numerical results were obtained for symmetric and non symmetric laminated beams and verified by comparisons
with other relevant works Also some special cases which related to the title were studied and presented The angle
of fibers orientation   which measured from the longitudinal axis of the beam is varied from o 0 to o 90 It is found
that both symmetrically and anti symmetrically laminated beams of similar size and end conditions have equal natural
frequencies which generally decrease as the angle of orientation increases