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