Stability of Spinning Shear-Deformable Laminated Composite Plates

• Published in: Journal of sound and vibration 1993-05, Vol.163 (1), p.83-99
• Main Authors: Bhumbla, R., Kosmatka, J.B.
• Format: Article
• Language: English
• Subjects: Exact sciences and technology; Fundamental areas of phenomenology (including applications); Physics; Solid mechanics; Structural and continuum mechanics; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
• ISSN: 0022-460X; 1095-8568
• DOI: 10.1006/jsvi.1993.1150

A first order, shear deformation plate theory is used to study the buckling speeds and the corresponding deformed shape of spinning, laminated composite plates offset from the axis of rotation. The theory accounts for geometric non-linearity in the form of von Kármán strains and the effects of rotatory inertia. A displacement finite element model is developed to obtain the numerical solutions to this class of problems. The buckling speeds are presented as functions of spin vector location and orientation (pitch and precone), and composite ply lay-up. The phenomenon of tensile buckling is examined. The buckling speed is seen to decrease with the spin vector offset from the plate clamped root, and increasing pitch orientation. It is shown that laminated plates can be designed to buckle in specific modes and at specific speeds. Non-linear effects have been shown to be significant for cases where there is coupling between in-plane and out-of-plane deflections of the plate. This coupling is a result of either material anisotropy or the application of forces out of plane of the plate.