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Structural Engineering and Mechanics Volume 39, Number 4, August25 2011 , pages 541-558 DOI: https://doi.org/10.12989/sem.2011.39.4.541 |
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On eigenvalue problem of bar structures with stochastic spatial stiffness variations |
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B. Rozycki and Z. Zembaty
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| Abstract | ||
| This paper presents an analysis of stochastic eigenvalue problem of plane bar structures. Particular attention is paid to the effect of spatial variations of the flexural properties of the structure on the first four eigenvalues. The problem of spatial variations of the structure properties and their effect on the first four eigenvalues is analyzed in detail. The stochastic eigenvalue problem was solved independently by stochastic finite element method (stochastic FEM) and Monte Carlo techniques. It was revealed that the spatial variations of the structural parameters along the structure may substantially affect the eigenvalues with quite wide gap between the two extreme cases of zero- and full-correlation. This is particularly evident for the multi-segment structures for which technology may dictate natural bounds of zero- and full-correlation cases. | ||
| Key Words | ||
| eigenvalue problem; bar structure; spatial stiffness variation; stochastic finite element method; Monte Carlo method; random field; midpoint method | ||
| Address | ||
| B. Rozycki: Voivodeship Roads Administration in Opole, Opole, Poland Z. Zembaty: Faculty of Civil Engineering, The Opole University of Technology, Opole, Poland | ||