Abstract
Dynamic response of composite laminates has received a great deal of attention. One of the most common defects in composite laminates is delamination. The presence of delamination may cause changes to the vibration characteristics of the structure and can be the most damaging failure mode of composite materials. The free vibrations of composite beams with multiple delaminations have extensively studied by Shu and Della [1, 2]. Stepped beams and beams resting on elastic foundation are increasingly used in various fields in structural engineering and their dynamic properties have been investigated by many authors [3, 4, 5, 6, 7, 8]. In the present work the basic ideas of [1, 2] have been extended to the following cases: (i) delaminated composite beams resting on elastic foundation, (ii) delaminated composite beams with piece-wise constant thickness.
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