Yıl: 2023 Cilt: 9 Sayı: 3 Sayfa Aralığı: 120 - 124 Metin Dili: İngilizce DOI: 10.20528/cjsmec.2023.03.004 İndeks Tarihi: 15-09-2023

Viscoelastic rod using the generalized finite difference method

Öz:
The finite difference method is quite extensively used to obtain the approximate solutions of many equations of mathematical physics. In this study, the precise algorithm in the time domain is combined with the generalized finite difference method to solve dynamic viscoelasticity problems. The numerical results obtained are satisfactory, and they are presented together with finite difference and finite element solutions.
Anahtar Kelime: Finite differences Generalized finite differences Finite elements Viscoelastic rod Dynamic analysis

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
  • Benito JJ, Ureña F, Gavete L (2001). Influence of several factors in the generalized finite difference method. Applied Mathematical Modelling, 25 (12), 1039-1053.
  • Christensen RM (1982). Theory of Viscoelasticity. Academic Press, New York.
  • Fu ZJ, Xie ZY, Ji SY, Tsai CC, Li AL (2020). Meshless generalized finite difference method for water wave interactions with multiple-bottom-seated-cylinder-array structures. Ocean Engineering, 195, 1-16.
  • Hairer E, Wanner G (1991). Solving Ordinary Differential Equations. Stiff and Differential-Algebraic Problems. Springer Series in Computational Mathematics, Springer-Verlag.
  • Haitan Y, Yan L (2003). A combined approach of EFGM and precise algorithm in time domain solving viscoelasticity problems. Journal of Solids and Structures, 40(3), 701-714.
  • Jaworska I, Milewski S (2016). On two-scale analysis of heterogeneous materials by means of the meshless finite difference method. International Journal for Multiscale Computational Engineering, 14, 113-34.
  • Jensen PS (1972). Finite difference techniques for variable grids. Computers & Structures, 2, 17-29.
  • Liszka T, Orkisz J (1980). The finite difference method at arbitrary irregular grids and its application in applied mechanics, Computers & Structures, 11, 83-95.
  • Perrone N, Kao R (1975). A general finite difference method for arbitrary meshes, Computers & Structures, 5, 45-58.
APA KORKUT F, tokdemir t (2023). Viscoelastic rod using the generalized finite difference method. , 120 - 124. 10.20528/cjsmec.2023.03.004
Chicago KORKUT FUAT,tokdemir turgut Viscoelastic rod using the generalized finite difference method. (2023): 120 - 124. 10.20528/cjsmec.2023.03.004
MLA KORKUT FUAT,tokdemir turgut Viscoelastic rod using the generalized finite difference method. , 2023, ss.120 - 124. 10.20528/cjsmec.2023.03.004
AMA KORKUT F,tokdemir t Viscoelastic rod using the generalized finite difference method. . 2023; 120 - 124. 10.20528/cjsmec.2023.03.004
Vancouver KORKUT F,tokdemir t Viscoelastic rod using the generalized finite difference method. . 2023; 120 - 124. 10.20528/cjsmec.2023.03.004
IEEE KORKUT F,tokdemir t "Viscoelastic rod using the generalized finite difference method." , ss.120 - 124, 2023. 10.20528/cjsmec.2023.03.004
ISNAD KORKUT, FUAT - tokdemir, turgut. "Viscoelastic rod using the generalized finite difference method". (2023), 120-124. https://doi.org/10.20528/cjsmec.2023.03.004
APA KORKUT F, tokdemir t (2023). Viscoelastic rod using the generalized finite difference method. Challenge Journal of Structural Mechanics, 9(3), 120 - 124. 10.20528/cjsmec.2023.03.004
Chicago KORKUT FUAT,tokdemir turgut Viscoelastic rod using the generalized finite difference method. Challenge Journal of Structural Mechanics 9, no.3 (2023): 120 - 124. 10.20528/cjsmec.2023.03.004
MLA KORKUT FUAT,tokdemir turgut Viscoelastic rod using the generalized finite difference method. Challenge Journal of Structural Mechanics, vol.9, no.3, 2023, ss.120 - 124. 10.20528/cjsmec.2023.03.004
AMA KORKUT F,tokdemir t Viscoelastic rod using the generalized finite difference method. Challenge Journal of Structural Mechanics. 2023; 9(3): 120 - 124. 10.20528/cjsmec.2023.03.004
Vancouver KORKUT F,tokdemir t Viscoelastic rod using the generalized finite difference method. Challenge Journal of Structural Mechanics. 2023; 9(3): 120 - 124. 10.20528/cjsmec.2023.03.004
IEEE KORKUT F,tokdemir t "Viscoelastic rod using the generalized finite difference method." Challenge Journal of Structural Mechanics, 9, ss.120 - 124, 2023. 10.20528/cjsmec.2023.03.004
ISNAD KORKUT, FUAT - tokdemir, turgut. "Viscoelastic rod using the generalized finite difference method". Challenge Journal of Structural Mechanics 9/3 (2023), 120-124. https://doi.org/10.20528/cjsmec.2023.03.004