EN
Analysis of Inverse Euler-Bernoulli Equation with Periodic Boundary Conditions
Abstract
In this study, which aims to solve the inverse problem of a linear Euler-Bernoulli equation,
the boundary condition has been periodically defined and integral overdetermination conditions. The
conditions of the data used in the generalized Fourier method used to solve the problem have regularity
and consistency.
Keywords
References
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- [2] C.W. Soh, “Euler-Bernoulli beams from a symmetry standpoint—characterization of equivalent equations,” JournalofMathematicalAnalysisandApplications, vol. 345, no. 1, pp. 387–395, 2008.
- [3] O. I. Morozov and C. W. Soh, “The equivalence problem for the Euler-Bernoulli beam equation via Cartan’s method,” Journal of Physics A: Mathematical and Theoretical, vol. 41, no. 13, 135206, pp. 135–206, 2008.
- [4] J. C. Ndogmo, “Equivalence transformations of the Euler-Bernoulli equation,” Nonlinear Analysis: Real World Applications, vol. 13, no. 5, pp. 2172–2177, 2012.
- [5] E. Ozkaya and M. Pakdemirli, “Group-theoretic approach to ¨ axially accelerating beam problem,” Acta Mechanica, vol. 155, no. 1-2, pp. 111–123, 2002.
- [6] A. E. H. Love, A Treatise on the Mathematical Theory of Elasticity, Dover Publications, New York, NY, USA, 4th edition,1944.
- [7] A. H. Bokhari, F. M. Mahomed, and F. D. Zaman, “Invariantboundary value problems for a fourth-order dynamic EulerBernoulli beam equation,” Journal of Mathematical Physics, vol.53, no. 4, 2012.
- [8] He X.Q., Kitipornchai S., Liew K.M.,”Buckling analysis of multi-walled carbon nanotubes a continuum model accounting for van der Waals interaction”, Journal of the Mechanics and Physics of Solids, 53, 303-326, 2005.
Details
Primary Language
English
Subjects
-
Journal Section
Research Article
Publication Date
December 30, 2022
Submission Date
October 10, 2022
Acceptance Date
December 26, 2022
Published in Issue
Year 2022 Volume: 7 Number: 3
APA
Bağlan, İ., & Canel, T. (2022). Analysis of Inverse Euler-Bernoulli Equation with Periodic Boundary Conditions. Turkish Journal of Science, 7(3), 146-156. https://izlik.org/JA92DT42WG
AMA
1.Bağlan İ, Canel T. Analysis of Inverse Euler-Bernoulli Equation with Periodic Boundary Conditions. TJOS. 2022;7(3):146-156. https://izlik.org/JA92DT42WG
Chicago
Bağlan, İrem, and Timur Canel. 2022. “Analysis of Inverse Euler-Bernoulli Equation With Periodic Boundary Conditions”. Turkish Journal of Science 7 (3): 146-56. https://izlik.org/JA92DT42WG.
EndNote
Bağlan İ, Canel T (December 1, 2022) Analysis of Inverse Euler-Bernoulli Equation with Periodic Boundary Conditions. Turkish Journal of Science 7 3 146–156.
IEEE
[1]İ. Bağlan and T. Canel, “Analysis of Inverse Euler-Bernoulli Equation with Periodic Boundary Conditions”, TJOS, vol. 7, no. 3, pp. 146–156, Dec. 2022, [Online]. Available: https://izlik.org/JA92DT42WG
ISNAD
Bağlan, İrem - Canel, Timur. “Analysis of Inverse Euler-Bernoulli Equation With Periodic Boundary Conditions”. Turkish Journal of Science 7/3 (December 1, 2022): 146-156. https://izlik.org/JA92DT42WG.
JAMA
1.Bağlan İ, Canel T. Analysis of Inverse Euler-Bernoulli Equation with Periodic Boundary Conditions. TJOS. 2022;7:146–156.
MLA
Bağlan, İrem, and Timur Canel. “Analysis of Inverse Euler-Bernoulli Equation With Periodic Boundary Conditions”. Turkish Journal of Science, vol. 7, no. 3, Dec. 2022, pp. 146-5, https://izlik.org/JA92DT42WG.
Vancouver
1.İrem Bağlan, Timur Canel. Analysis of Inverse Euler-Bernoulli Equation with Periodic Boundary Conditions. TJOS [Internet]. 2022 Dec. 1;7(3):146-5. Available from: https://izlik.org/JA92DT42WG