A practical Jointed Approach to Functionally Graded Structures by Differential Transform Method

İbrahim KELEŞ, (Amasya Üniversitesi, Mühendislik Fakültesi, Makine Mühendisliği, Amasya, Türkiye)
Vedat Suat ERTÜRK (Ondokuz Mayıs Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü, Samsun, Türkiye)
European Mechanical Science
1 0
Yıl: 2019 Cilt: 3 Sayı: 3 Sayfa Aralığı: 118 - 124 Metin Dili: İngilizce DOI: 10.26701/ems.568318 İndeks Tarihi: 27-05-2020

A practical Jointed Approach to Functionally Graded Structures by Differential Transform Method

Öz:
In this study, a practical jointed approach in the static vibration investigation of functionally graded material (FGM) structures under internal pressure is applied by differential transform method (DTM). The FGM material consist of isotropic material that show exponential variation in the thickness. The ratio of Poisson is taken as a constant. Displacement and stress distributions due to non-homogeneous constant are intended. Stress distribution dependent on the homogeneity parameter is computed and the results obtained for cylindrical and spherical structures were compared with finite element method (FEM). The inhomogeneity parameter is empirically regulated, with a continuously varying volume fraction of the constituents. The parameters for homogeneity were randomly selected to show displacement and stress distributions.
Anahtar Kelime:

Konular: Mühendislik, Makine
Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
  • [1] Tranter, C.J. (1942). The application of the Laplace transformation to a problem on elastic vibrations, Philosophical Magazine,vol. 33, no 223, p.614–22, DOI: 10.1080/14786444208520820.
  • [2] Mirsky I. (1964). Axisymmetric vibrations of orthotropic cylinders, Journal of the Acoustical Society of America, vol. 36, no 11, p. 2106– 12, DOI: 10.1121/1.1919329.
  • [3] Klosner JM, Dym CL.(1966). Axisymmetric plane-strain dynamic response of a thick orthotropic shell, Journal of the Acoustical Society of America, vol. 39, no 1, p. 1-7, DOI: 10.1121/1.1909869
  • [4] Ahmed N. (1966). Axisymmetric plane-strain vibrations of a thick-layered orthotropic cylindrical shell, Journal of the Acoustical Society of America, vol. 40, no 6, p. 1509–16, DOI: 10.1121/1.1910256
  • [5] Ghosh A.K. (1995). Axisymmetric vibration of a long cylinder, Journal of Sound Vibration, vol. 186, no. 5, p. 711–21, DOI: 10.1006/ jsvi.1995.0484.
  • [6] Yıldırım A., Yarımpabuç D., Celebi K. (2019). Thermal stress analysis of functionally graded annular fin, Journal of Thermal Stresses, vol. 42, no. 4, p. 440-451, DOI: 10.1080/01495739.2018.1469963.
  • [7] Aslan T.A ., Noori A .R., Temel B.(2018) A unified approach for out-of-plane forced vi- bration of axially functionally graded circular rods, European Mechanical Science vol.2, no. 2,p. 37–45, DOI: 10.26701/ems.374524 .
  • [8] Yarımpabuç D., Eker M., Çelebi K. (2018). Forced vibration analysis of non-uniform piezoelectric rod by complementary functions method, Karaelmas Science and Engineering Journal, vol. 8, no. 4, p. 496-504, DOI: 10.7212%2Fzkufbd.v8i2.1159.
  • [9] Celebi K., Yarimpabuc D., and Baran T. (2018). Forced vibration analysis of inhomogeneous rods with non-uniform cross-section, Journal of Engineering Research, vol. 6, no. 3, p. 189-202, DOI: 10.21605/cukurovaummfd.316746
  • [10] Celebi K., Yarımpabuç D., Tutuncu N. (2018). Free vibration analysis of functionally graded beams using complementary functions method, Archive of Applied Mechanics, vol. 88, no. 5, p. 729-739, DOI: 10.1007/s00419-017-1338-6.
  • [11] Güven U., Baykara C. (2001). On stress distributions in functionally graded isotropic spheres subjected to internal pressure, Mechanic Research Communications, vol. 28, no. 3, p. 277-281, DOI:10.1016/ s0093-6413(01)00174-4.
  • [12] Tütüncü, N., Öztürk, M. (2001). Exact solutions for stresses in functionally graded pressure vessels, Composites Part B: Engineering, vol. 32, no. 8, p. 683-686, DOI: 10.1016/s1359-8368(01)00041-5.
  • [13] Horgan C.O., Chan A.M. (1999). The pressurized hollow cylinder or disk problem for functionally graded isotropic linearly elastic materials, Journal of Elasticity, vol. 55, p. 43-59, DOI: 10.1023/A:1007625401963.
  • [14] Obata Y, Noda N. (1994). Steady thermal stressesin a hollow circular cylinder and a hollow sphere of a functionally gradient material, Journal of Thermal Stresses vol. 17, p. 471-87, DOI: 10.1080/01495739408946273.
  • [15] Tutuncu, N., Temel, B. (2009). A novel approach to stress analysis of pressurized FGM cylinders, disks and spheres, Composite Structures, vol. 91, no. 3, p. 385-390, DOI: 10.1016/j.compstruct.2009.06.009.
  • [16] Zhou J.K. (1986), Differential Transformation and Its Applications for Electrical Circuits, Huazhong University Press, Wuhan, China.
  • [17] Arikoglu A., Ozkol I. (2005). Solution of boundary value problems for integrodifferential equations by using differential transform method, Applied Mathematics and Computation, vol. 168, no. 2. p. 1145–1158, DOI: 10.1016/j.amc.2004.10.009.
  • [18] Chen C. K., Ho S. H. (1998). Application of differential transformation to eigenvalue problems, Applied Mathematics and Computation, vol. 79, no. 2-3, p. 173–188,DOI: 10.1016/0096-3003(95)00253-7.
  • [19] Malik M., Dang H. H. (1998). Vibration analysis of continuous systems by differential transformation, Applied Mathematics and Computation, vol. 96, no. 1, p. 17–26, DOI: 10.1016/S0096- 3003(97)10076-5.
  • [20] Hassan I.H.A-H. (2002). On solving some eigenvalue problems by using a differential transformation”, Applied Mathematics and Computation, vol. 127, no. 1, p. 1– 22, DOI: 10.1016/S0096- 3003(00)00123-5.
  • [21] Yeh Y. L., Jang M. J., Wang C. C. (2006). Analyzing the free vibrations of a plate using finite difference and differential transformation method, Applied Mathematics and Computation, vol. 178, no. 2, p. 493–501, DOI: 10.1016/j.amc.2005.11.068 (2006).
  • [22] Yeh Y. L., Wang C. C., Jang M. J. (2007). Using finite difference and differential transformation method to analyze of large deflections of orthotropic rectangular plate problem, Applied Mathematics and Computation, vol. 190, no. 2, p. 1146–1156, DOI: 10.1016/j. amc.2007.01.099.
  • [23] Shin Y. J., Kwon K. M., Yun J. H. Vibration analysis of a circular arch with variable cross-section using differential transformation and generalized differential quadrature, Journal of Sound and Vibration, vol. 309, no. 1-2, p. 9–19, DOI: 10.1016/j.jsv.2006.08.020.
  • [24] Chen C.J., Wu W.J. (1996). Application of the Taylor differential transformation method to viscous damped vibration of hard and soft spring system. Computers & Structures, vol. 59, no. 4, p. 631- 639, DOI: 10.1016/0045-7949(95)00304-5.
  • [25] Chen C.K., Ho S.H.(1999). Solving partial differential equations by two-dimensional differential transform method, Applied Mathematics and Computation, vol. 106, no. 2-3, p. 171-179, DOI: 10.1016/S0096-3003(98)10115-7.
  • [26] Hassan I.H.A-H. (2002). Different applications for the differential transformation in the differential equations, Applied Mathematics and Computation, vol. 129, no. 2-3, p. 183 – 201, DOI: 10.1016/ S0096-3003(01)00037-6.
  • [27] Erturk V. S., Momani S. (2007). A reliable algorithm for solving tenth-order boundary value problems, Numerical Algorithms, vol. 44, no.2, p. 147-158, DOI: 10.1007/s11075-007-9093-3.
  • [28] Arikoglu A., Ozkol I. (2006), Solution of difference equations by using differential transform method, Applied Mathematics and Computation, vo. 174, no. 2, p. 1216-1228, DOI: 10.1016/j.amc.2005.06.013.
  • [29] Rashidi M.M., Erfani E. (2011). A new analytical study of MHD stagnation-point flow in porous media with heat transfer, Computres & Fluids, vol. 40, p. 172-178, DOI: 10.1016/j.compfluid.2010.08.021.
  • [30] Ni Q., Zhang Z.L., Wang L. (2011). Application of the differential transformation method to vibration analysis of pipes conveying fluid, Applied Mathematics and Computation, vol. 217, no. 16, p. 7028-7038, DOI: 10.1016/j.amc.2011.01.116.
  • [31] ANSYS Swanson Analysis System, Inc., 201 Johnson Road, Houston, PA 15342-1300, USA.
APA keleş i, Erturk V (2019). A practical Jointed Approach to Functionally Graded Structures by Differential Transform Method. , 118 - 124. 10.26701/ems.568318
Chicago keleş ibrahim,Erturk Vedat Suat A practical Jointed Approach to Functionally Graded Structures by Differential Transform Method. (2019): 118 - 124. 10.26701/ems.568318
MLA keleş ibrahim,Erturk Vedat Suat A practical Jointed Approach to Functionally Graded Structures by Differential Transform Method. , 2019, ss.118 - 124. 10.26701/ems.568318
AMA keleş i,Erturk V A practical Jointed Approach to Functionally Graded Structures by Differential Transform Method. . 2019; 118 - 124. 10.26701/ems.568318
Vancouver keleş i,Erturk V A practical Jointed Approach to Functionally Graded Structures by Differential Transform Method. . 2019; 118 - 124. 10.26701/ems.568318
IEEE keleş i,Erturk V "A practical Jointed Approach to Functionally Graded Structures by Differential Transform Method." , ss.118 - 124, 2019. 10.26701/ems.568318
ISNAD keleş, ibrahim - Erturk, Vedat Suat. "A practical Jointed Approach to Functionally Graded Structures by Differential Transform Method". (2019), 118-124. https://doi.org/10.26701/ems.568318
APA keleş i, Erturk V (2019). A practical Jointed Approach to Functionally Graded Structures by Differential Transform Method. European Mechanical Science, 3(3), 118 - 124. 10.26701/ems.568318
Chicago keleş ibrahim,Erturk Vedat Suat A practical Jointed Approach to Functionally Graded Structures by Differential Transform Method. European Mechanical Science 3, no.3 (2019): 118 - 124. 10.26701/ems.568318
MLA keleş ibrahim,Erturk Vedat Suat A practical Jointed Approach to Functionally Graded Structures by Differential Transform Method. European Mechanical Science, vol.3, no.3, 2019, ss.118 - 124. 10.26701/ems.568318
AMA keleş i,Erturk V A practical Jointed Approach to Functionally Graded Structures by Differential Transform Method. European Mechanical Science. 2019; 3(3): 118 - 124. 10.26701/ems.568318
Vancouver keleş i,Erturk V A practical Jointed Approach to Functionally Graded Structures by Differential Transform Method. European Mechanical Science. 2019; 3(3): 118 - 124. 10.26701/ems.568318
IEEE keleş i,Erturk V "A practical Jointed Approach to Functionally Graded Structures by Differential Transform Method." European Mechanical Science, 3, ss.118 - 124, 2019. 10.26701/ems.568318
ISNAD keleş, ibrahim - Erturk, Vedat Suat. "A practical Jointed Approach to Functionally Graded Structures by Differential Transform Method". European Mechanical Science 3/3 (2019), 118-124. https://doi.org/10.26701/ems.568318
Sayfa Oluşturulma Tarihi
23-04-2024 11:50

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