Digital Library of Zielona Góra contains 67 657 digital objects
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Title: Shape optimization of compressed rods considering material and geometric uncertainty: an analytical - stochastic approach
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Abstract:
The article presents a stochastic approach to the shape optimization of compressed rods, taking into account random deviations of Young`s modulus and the second moment of area. The parameters are described as stationary random fields with a specified correlation length, and their influence on the critical buckling load is determined using a first-order perturbation expansion. The obtained expressions for the expected value and variance of the critical load made it possible to assess the sensitivity of the structure to local stiffness disturbances. ; Subsequently, a probabilistic optimization problem was formulated within a family of Gaussian-type profiles, with the aim of minimizing mass while maintaining the required level of reliability. Numerical analysis shows that accounting for uncertainties makes it possible to obtain a rod approximately 12 % lighter than the reference rod, without reducing load-carrying capacity. The presented approach demonstrates that modeling
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
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Source:
IJAME, volume 31, number 3 (2026)
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License CC BY-NC-ND 4.0:
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Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Digital Library of Zielona Góra > Repository > Faculties > Faculty of Mechanical Engineering
- Digital Library of Zielona Góra > Repository > Scientific journals and UZ publishing series > International Journal of Applied Mechanics and Engineering (IJAME)
- Digital Library of Zielona Góra > Repository > Scientific journals and UZ publishing series > Civil and Environmental Engineering Reports (CEER) > Civil and Environmental Engineering Reports (CEER) (2026)
Last modified:
Nov 4, 2026
In our library since:
Nov 4, 2026
Number of object content hits:
1
All available object's versions:
https://www.zbc.uz.zgora.pl/publication/115128
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