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2 Journal of Theoretical and Applied Mechanics

2 2016

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Time-independent stochastic design sensitivity analysis of structural systems with second-order accuracy

Weber H.

Journal of Theoretical and Applied Mechanics

2016

Vol. 54 nr 3

783--794

In the paper, the static sensitivity of complex structures with respect to random design parameters is presented. Using the adjoint system method, based on the mean-point second-order perturbation method, the first two probabilistic moments of time-independent sensitivity are formulated with means and cross-covariances of random design parameters as the input data. It enables one to obtain the second-order accuracy of the solution. The presented formulations are illustrated by a number of numerical examples. The influence of finite element mesh density for the obtained results is discussed using the analysis of the spatial bar dome.

Influence of uncertainty in aerodynamic performance on the dynamic response of a two stage gear system

Tounsi M., Beyaoui M., Abboudi K., Feki N., Walha L., Haddar M.

Journal of Theoretical and Applied Mechanics

2016

Vol. 54 nr 2

601--612

In this paper, the nonlinear dynamic response in a wind turbine system is considered and the quantification of uncertainty effects on the variability of this nonlinear response is investigated. Under dynamic conditions, a lumped model with 12 degrees of freedom is proposed taking into account the uncertainty associated to the power coefficient of the input aerodynamic torque. The dynamic response of the two-stage spur gear system is obtained using ODE45 solver of Matlab. The Polynomial Chaos (PC) method is used to introduce the uncertainties on the proposed model. A comparison between the two dynamic responses given by the proposed lumped dynamic model takes into account the uncertainty. It is performed on the existed model without uncertainty. Thus, the efficiency and robustness of the proposed new methodology is evaluated.