Araştırma Makalesi

Analysis of Inverse Euler-Bernoulli Equation with Periodic Boundary Conditions

Cilt: 7 Sayı: 3 30 Aralık 2022
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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

Kaynakça

  1. 1 H. P. W. Gottlieb, “Isospectral Euler-Bernoulli beams with continuous density and rigidity functions,” Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, vol. 413, no. 1844, pp. 235–250, 1987.
  2. [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. [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. [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. [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. [6] A. E. H. Love, A Treatise on the Mathematical Theory of Elasticity, Dover Publications, New York, NY, USA, 4th edition,1944.
  7. [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. [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.

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

30 Aralık 2022

Gönderilme Tarihi

10 Ekim 2022

Kabul Tarihi

26 Aralık 2022

Yayımlandığı Sayı

Yıl 2022 Cilt: 7 Sayı: 3

Kaynak Göster

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, ve 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 (01 Aralık 2022) Analysis of Inverse Euler-Bernoulli Equation with Periodic Boundary Conditions. Turkish Journal of Science 7 3 146–156.
IEEE
[1]İ. Bağlan ve T. Canel, “Analysis of Inverse Euler-Bernoulli Equation with Periodic Boundary Conditions”, TJOS, c. 7, sy 3, ss. 146–156, Ara. 2022, [çevrimiçi]. Erişim adresi: 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 (01 Aralık 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, ve Timur Canel. “Analysis of Inverse Euler-Bernoulli Equation with Periodic Boundary Conditions”. Turkish Journal of Science, c. 7, sy 3, Aralık 2022, ss. 146-5, https://izlik.org/JA92DT42WG.
Vancouver
1.İrem Bağlan, Timur Canel. Analysis of Inverse Euler-Bernoulli Equation with Periodic Boundary Conditions. TJOS [Internet]. 01 Aralık 2022;7(3):146-5. Erişim adresi: https://izlik.org/JA92DT42WG