Digital Library of Zielona Góra contains 67 371 digital objects
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Title: Analytical Classification of Buckling Problems of Compressed Rods With Variable Bending Stiffness Using Special Functions
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Abstract:
The paper presents an analytical framework for the classification of buckling problems of compressed rods with variable bending stiffness. The governing Euler?Bernoulli stability equation with spatially varying coeffi-cients is transformed into a Sturm?Liouville form and further reduced to a Schrödinger-type equation using the Liouville transformation. This formulation establishes a direct correspondence between the bending stiffness distribution and the associated spectral problem, allowing a systematic mapping of stiffness profiles to classes of differential equations. ; Depending on the resulting Liouville potential, the eigenvalue problems can be ex-pressed in terms of classical special functions such as Airy, Bessel, Hermite, or error-function-based solutions. The proposed approach provides a unified classification of variable-stiffness buckling problems within a single operator framework and organizes known analytical results as special cases of a general spectral formulation. The study focuses on analytical structure and classification rather than on optimization procedures, and it does not assume or solve a shape optimization problem.
Description:
tytuł dodatkowy: Prace z Inżynierii Lądowej i Środowiska
Publisher:
Zielona Góra: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
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Source:
Civil and Environmental Engineering Reports (CEER), no 36, vol. 2
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License CC BY 4.0:
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Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Digital Library of Zielona Góra > Repository > Faculties > Construction department, Architecture and Environmental Engineering
- Digital Library of Zielona Góra > Repository > Types of work > Articles
- 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:
Jul 27, 2026
In our library since:
Jul 27, 2026
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0
All available object's versions:
https://zbc.uz.zgora.pl/publication/109230
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| Edition name | Date |
|---|---|
| Analytical Classification of Buckling Problems of Compressed Rods With Variable Bending Stiffness Using Special Functions | Jul 27, 2026 |
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