Nonlinear stochastic dynamics for post-buckling analysis of uncertain cylindrical shells

Evangéline Capiez-Lernout 1, * Christian Soize 1 M. Mignolet 2
* Corresponding author
2 Fac Mech & Aerosp Engn
Faculties of Mechanical and Aerospace Engineering
Abstract : This paper presents the nonlinear dynamical post-buckling analysis of an uncertain cylindrical shell. The proposed approach is adapted to the dynamical analysis of geometrically nonlinear structures subjected to a stochastic ground-based motion in the presence of both system parameter uncertainties and model uncertainties. The structure is modeled by a large finite element model using 3D elasticity theory. The ground-based motion is represented by a Gaussian centered non-stationary second-order stochastic process. Then, a reduced-order basis is constructed using the POD (Proper Orthogonal Decomposition) analysis of a nonlinear static reference response combined with selected linear eigenmodes of vibrations. The instantaneous spectral density power of the dynamical response is analyzed in order to quantify the influence of both geometrical nonlinearities and random uncertainties on the stochastic dynamical response.
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Evangéline Capiez-Lernout, Christian Soize, M. Mignolet. Nonlinear stochastic dynamics for post-buckling analysis of uncertain cylindrical shells. International Conference on Recent Advances in Structural Dynamics, RASD 2013, ISVR, University of Southampton, Jul 2013, Pisa, Italy, Italy. pp.1-15. ⟨hal-00861281⟩

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