Nonparametric stochastic modeling of structural dynamic and aeroelastic systems: formulation and novel extensions

M. P. Mignolet (1) , Christian Soize (2) , K. Kim (1) , D.-H. Lee (3)

1 Fac Mech & Aerosp Engn
2 LaM - Laboratoire de Mécanique
3 ZONA Technology

This paper addresses the modeling and simulation of random structural dynamic and aeroelastic systems, linear and nonlinear, using the nonparametric methodology. The fundamental theory underlying this approach is first review and its application to linear structural dynamic models is demonstrated. Next, the theory is extended in two distinct directions: i.e. geometrically nonlinear models and an improved characterization of the natural frequencies of random linear systems.

Mots clés: Nonparametric probabilistic method; model uncertainties; modeling errors; random matrix; random uncertainties; structural dynamics; aeroelastic systems:

Domaines: Mécanique des structures [physics.class-ph]; Mécanique des structures [physics.class-ph]; Mécanique des fluides [physics.class-ph]; Mécanique des fluides [physics.class-ph]; Probabilités [math.PR]

M. P. Mignolet, Christian Soize, K. Kim, D.-H. Lee. Nonparametric stochastic modeling of structural dynamic and aeroelastic systems: formulation and novel extensions. 9th Non-deterministic Approaches (NDA) Conference and 48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials (SDM) Conference, Apr 2007, Waikiki, Hawaii, United States. pp.Pages: 1-10. ⟨hal-00689710⟩