Polynomial chaos analysis of delay effect on uncertainties in real-time hybrid simulation

Uncertainties in numerical substructure can result in different responses for the same experimental substructure in hybrid simulation. This problem is more serious in real-time hybrid simulation when coupled with actuator delay. Polynomial chaos expansion (PCE) projects the model output on a basis of orthogonal stochastic polynomials, and provide an efficient and effective metamodel technique to represent the complex model. From the polynomial chaos expansion, the influence of the uncertainties in numerical model can be reflected. In this paper, PCE is utilized to evaluate the delay effect on the maximum structure responses when the numerical substructure contains uncertainties in real-time hybrid simulation.