This content is not included in
your SAE MOBILUS subscription, or you are not logged in.
The Treatment of Randomness in Finite Element Modeling
Annotation ability available
Sector:
Language:
English
Abstract
A linear statistical model is developed for analyzing the statistics of response of static and dynamic finite element models. The model uses the statistical moments of random physical properties (for example, modulus of elasticity) to establish the degree of uncertainty in computed static deflections, frequencies, and buckling loads. A sample problem is included showing the influence of property variance and covariance upon all three areas of interest.
Authors
Citation
Hart, G. and Collins, J., "The Treatment of Randomness in Finite Element Modeling," SAE Technical Paper 700842, 1970, https://doi.org/10.4271/700842.Also In
References
- Rubenstein M. F. Rosen R. “Structural Analysis by Matrix Decomposition.” Journal of the Franklin Institute 286 October 1968
- Melosh R. J. Palacol E. L. “Manipulation Errors in Finite Element Analysis of Structures.” Washington, D.C. August 1969
- Klein S. “The Cholesky Equation Solver.” Aerospace Report ATR-70 (59990)-2 January 1970
- Collins J. D. Thomson W. T. “The Eigenvalue Problem for Structural Systems with Statistical Properties.” AIAA Journal 7 4 April 1969 642 648
- Anderson T. W. “Introduction to Multivariate Statistical Analysis.” New York John Wiley and Sons, Inc. 1958
- Kiefling L. “Comment on ‘The Eigenvalue Problem for Structural Systems with Statistical Properties’.” AIAA Journal 7 July 1970 642 648