Multi-fidelity analysis and uncertainty quantification of beam vibration using co-kriging interpolation method

highlights•Multi-fidelity analysis for vibration is performed to develop a co-kriging model for uncertainty quantification.•Euler-Bernoulli and Timoshenko beam theory is used as the low fidelity and high fidelity model, respectively.•Kullback-Liebler divergence is used to quantify deviation between high fidelity and multi-fidelity models.•Huge reduction in computer time for Monte Carlo Simulation is shown with the multi-fidelity co-kriging model. In this paper, a multi-fidelity surrogate model is created using co-kriging methodology to determine the natural frequencies of beams by combining the fidelities of Euler-Bernoulli (low-fidelity) and Timoshenko (high-fidelity) beam finite element models. This study of free vibration of beams involves uncertainties in material properties. The sampling space for the co-kriging surrogate model is created using an optimal latin hypercube sampling technique. It is shown that the co-kriging surrogate model predicts the natural frequencies with high computational efficiency and accuracy, in the entire design space. The computational efficiency and utility of the multi-fidelity model is demonstrated through its application to a problem of quantifying uncertainties in the natural frequencies of a tapered beam using Monte Carlo Simulation.