Spectral stochastic isogeometric analysis of free vibration

A novel spectral stochastic isogeometric analysis (SSIGA) is proposed for the free vibration analysis of engineering structures involving uncertainties. The proposed SSIGA framework treats the stochastic free vibration problem as a stochastic generalized eigenvalue problem. The stochastic Young’s modulus and material density of the structure are modelled as random fields with Gaussian and non-Gaussian distributions. The basis functions, the...