THE EFFECTS OF END CONDITIONS OF CROSSPLY LAMINATED COMPOSITE BEAMS ON THEIR NONDIMENSIONALIZED NATURAL FREQUENCIES
In this study, the effect of the end conditions of crossply laminated composite deck beams (CLCB) on their nondimensional natural frequencies of free vibration was investigated. The problem is analyzed and solved using the energy approach which is formulated by a finite element model. In that model, a threenoded element with three degrees of freedom at each node is assumed. Numerical results were verified by comparisons with other relevant works. The end conditions of beams are: clamped free (CF), hinged hinged (HH), clamped clamped (CC), hinged clamped (HC), hinged free (HF), free free (FF). Each beam has either movable ends or immovable ends. It is found that the more constrained beams have the higher values of natural frequencies of transverse vibration. However, the freefree and hingedfree beams are found to have the highest frequencies of transverse vibration amongst all beams although they look less constrained. This behavior is due to the fact that the first mode of the two beams is equal zero (rigid body motion), and replaced by the second mode to be the fundamental mode. The values of the natural frequencies of longitudinal modes are found to be the same for all beams with movable ends since they are generated by longitudinal movements only. But for immovable ends, the clampedfree and hingedfree beams have equal frequencies in longitudinal vibration, and those of the other beams are also the same.
KEYWORDS: Finite element method, end conditions, cross . المزيد..