Chen, M.-T., and Harichandran, R. S. (1998). "Statistics of the
von Mises stress response for structures subjected to random
excitations."
Shock and Vibration, 5, 13-21.
Abstract
Finite element-based random vibration analysis is increasingly used in
computer aided engineering software for computing statistics (e.g.,
root-mean-square value) of structural responses such as displacements,
stresses and strains. However, these statistics can often be computed
only for Cartesian responses. For the design of metal structures, a
failure criterion based on an equivalent stress response, commonly known
as the von Mises stress, is more appropriate and often used. This paper
presents an approach for computing the statistics of the von Mises
stress response for structures subjected to random excitations. Random
vibration analysis is first performed to compute covariance matrices of
Cartesian stress responses. Monte Carlo simulation is then used to
perform scatter and failure analyses using the von Mises stress
response.