Nonlinear dynamics of flexible multibody systems with uncertain interval parameters

Abstract eng:
The dynamics of flexible multibody systems with interval parameters is initially studied. The flexible multibody systems with rigid and flexible bodies are described by using a unified mesh of the absolute nodal coordinate formulation (ANCF). A non-intrusive computation methodology is proposed to efficiently solve the governing Interval Differential Algebraic Equations (IDAEs). Firstly, the Interval Differential Algebraic Equations (IDAEs) are directly transformed into the nonlinear interval algebraic equations by using the generalized-alpha algorithm. Then, the Chebyshev surrogate models for these nonlinear interval algebraic equations are established by using the Chebyshev tensor product (CTP) sampling method and Chebyshev collocation method (CCM). To circumvent the interval explosion problem and maintain computation efficiency, the scanning method is used to determine the upper and lower bounds of the deducted surrogate models. Finally, two numerical examples are studied to check the efficiency and effectiveness of the proposed methodology.

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