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Shock and Vibration
Volume 5, Issue 1, Pages 13-21

Statistics of the Von Mises Stress Response For Structures Subjected To Random Excitations

Mu-Tsang Chen1 and Ronald Harichandran2

1ANSYS Inc., 275 Technology Dr., Canonsburg, PA 15317, USA
2Department of Civil and Environmental Engineering, Michigan State University, East Lansing, MI 48824, USA

Received 29 January 1997

Copyright © 1998 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.