Free Vibration Characteristics of Multiple Delaminated Cross-ply Composite Conical Shells

This paper investigates the free vibration of multiple delaminated graphite-epoxy cross-ply composite pretwisted rotating conical shells. The generalized dynamic equilibrium equations are derived from Lagrange's equation, neglecting the Coriolis effect for moderate rotational speeds. The formulation is based on Mindlin's theory considering an eight-noded isoparametric plate-bending element. The multipoint constraint algorithm is employed and a QR iteration algorithm is utilized to solve the standard eigenvalue problem. The mode shapes for a typical laminate configuration are also depicted. Numerical results obtained are the first known value, which could serve as reference solutions for future investigators.

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