Nonlinear vibrations and stability of laminated shells using a modified first-order shear deformation theory

作者：Amabili Marco^*

来源：European Journal of Mechanics - A: Solids , 2018, 68: 75-87.

DOI：10.1016/j.euromechsol.2017.11.005

• Nonlinear vibrations
• First-order shear deformation theory
• Laminated shells
• Chaos

An original and consistent first-order shear deformation theory that retains all the nonlinear terms in the in plane displacements and rotations is presented here. The theory is developed for dynamics and is applied to study large-amplitude, geometrically nonlinear vibrations. The numerical application to a simply supported, composite laminated circular cylindrical shell is implemented for illustration and validation purposes. Initially the theory is compared to an accurate third-order nonlinear shear deformation theory for the case of pressurized shell. This comparison validates the theory for buckling, which arises in case of external pressure, and post buckling. The pressure is accurately modelled as displacement-dependent. Then, the nonlinear vibrations due to harmonic forcing around a resonance are studied in detail. The coupling between driven and companion mode gives a chaotic oscillation region near the linear resonance associated to a travelling-wave vibration. Results are presented in the frequency and time domains, in addition to sections of Poincare maps.

• 出版日期2018-4
• 单位McGill