Dynamic analysis of framed structures with statistical uncertainties

The forced harmonic vibration analysis of portal frames consisting of viscously damped beams with spatial stochastic variation of mass and sti ness properties is considered. The analysis is based on the assembly of element stochastic dynamic sti ness matrices. The solution involves inversion of the global dynamic sti ness matrix, which, in this case, turns out to be a complex-valued symmetric random matrix. Three alternative approximate procedures, namely, random eigenfunction expansion method, complex Neumann expansion method and combined analytical and simulation method are used to invert the matrix. The performance of these approximate procedures is evaluated using Monte Carlo simulation results. Copyright