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Practical Jointed Approach to Functionally Graded Structures

Yıl 2020, Cilt: 12 Sayı: 2, 57 - 69, 14.10.2020

İbrahim Keles Kutay Aydın

Öz

In this study, a practical jointed approach in the forced vibration investigation of functionally graded material (FGM) structures under internal pressure are applied by modified Durbin’s method. The FGM material consists of heterogeneous material that shows exponential variation in the thickness. Four types of dynamic loads are applied to the FGM cylinder for forced vibration. 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 structures were compared with the finite element method (FEM). The inhomogeneity parameter is empirically regulated, with a continuously changing volume fraction of the ingredients. The parameters for homogeneity were randomly selected to show displacement and stress distributions.

Anahtar Kelimeler

Functionally graded materials Structural elements Boundary value problems Modified Durbin’s method

Destekleyen Kurum

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Proje Numarası

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Teşekkür

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Kaynakça

  • [1] Tranter, C., LXV. The application of the Laplace transformation to a problem on elastic vibrations. The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 33, 614-622, 1942
  • [2] Mirsky, I., Axisymmetric vibrations of orthotropic cylinders. The Journal of the Acoustical Society of America, 36, 2106-2112, 1964
  • [3] Klosner, J.M. and C.L. Dym, Axisymmetric, Plane‐Strain Dynamic Response of a Thick Orthotropic Shell. The Journal of the Acoustical Society of America, 39, 1-7, 1966
  • [4] Ahmed, N., Axisymmetric Plane‐Strain Vibrations of a Thick‐Layered Orthotropic Cylindrical Shell. The Journal of the Acoustical Society of America, 40, 1509-1516, 1966
  • [5] Ghosh, A., Axisymmetric vibration of a long cylinder. Journal of sound and vibration, 186, 711-721, 1995
  • [6] Güven, U.u., On stress distributions in functionally graded isotropic spheres subjected to internal pressure. Mechanics Research Communications, 3, 277-281, 2001
  • [7] Tutuncu, N. and M. Ozturk, Exact solutions for stresses in functionally graded pressure vessels. Composites Part B: Engineering, 32, 683-686, 2001
  • [8] Horgan, C. and A. Chan, The pressurized hollow cylinder or disk problem for functionally graded isotropic linearly elastic materials. Journal of Elasticity, 55, 43-59, 1999
  • [9] Obata, Y. and N. Noda, Steady thermal stresses in a hollow circular cylinder and a hollow sphere of a functionally gradient material. Journal of Thermal stresses, 17, 471-487, 1994
  • [10] Tutuncu, N. and B. Temel, A novel approach to stress analysis of pressurized FGM cylinders, disks and spheres. Composite Structures, 91, 385-390, 2009
  • [11] Loy, C., K. Lam, and J. Reddy, Vibration of functionally graded cylindrical shells. International Journal of Mechanical Sciences, 41, 309-324, 1999
  • [12] Pradhan, S., C. Loy, K. Lam, and J. Reddy, Vibration characteristics of functionally graded cylindrical shells under various boundary conditions. Applied Acoustics, 61, 111-129, 2000
  • [13] Bayat, M., M. Saleem, B. Sahari, A. Hamouda, and E. Mahdi, Analysis of functionally graded rotating disks with variable thickness. Mechanics Research Communications, 35, 283-309, 2008
  • [14] Xiang, H., Z. Shi, and T. Zhang, Elastic analyses of heterogeneous hollow cylinders. Mechanics Research Communications, 33, 681-691, 2006
  • [15] Han, X., G. Liu, Z. Xi, and K. Lam, Transient waves in a functionally graded cylinder. International Journal of Solids and Structures, 38, 3021-3037, 2001
  • [16] Shakeri, M., M. Akhlaghi, and S. Hoseini, Vibration and radial wave propagation velocity in functionally graded thick hollow cylinder. Composite structures, 76, 174-181, 2006
  • [17] Ng, T., K. Lam, K. Liew, and J. Reddy, Dynamic stability analysis of functionally graded cylindrical shells under periodic axial loading. International Journal of Solids and Structures, 38, 1295-1309, 2001
  • [18] Keles, I., Elastic response of FGM and anisotropic thick-walled pressure vessels under dynamic internal pressure. 2007, PhD thesis, Cukurova University.
  • [19] Çalım, F.F., Dynamic analysis of beams on viscoelastic foundation. European Journal of Mechanics-A/Solids, 28, 469-476, 2009
  • [20] Watson, G.N., A treatise on the theory of Bessel functions. 1995: Cambridge university press.
  • [21] Durbin, F., Numerical inversion of Laplace transforms: an efficient improvement to Dubner and Abate's method. The Computer Journal, 17, 371-376, 1974
  • [22] Narayanan, G.V., Numerical Operational Methods in Structural Dynamics. 1981, PhD thesis, University of Minnesota.
  • [23] ANSYS Swanson Analysis System, Inc., 201 Johnson Road, Houston, PA 15342-1300, USA.,

Yıl 2020, Cilt: 12 Sayı: 2, 57 - 69, 14.10.2020

İbrahim Keles Kutay Aydın

Öz

Proje Numarası

.

Kaynakça

  • [1] Tranter, C., LXV. The application of the Laplace transformation to a problem on elastic vibrations. The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 33, 614-622, 1942
  • [2] Mirsky, I., Axisymmetric vibrations of orthotropic cylinders. The Journal of the Acoustical Society of America, 36, 2106-2112, 1964
  • [3] Klosner, J.M. and C.L. Dym, Axisymmetric, Plane‐Strain Dynamic Response of a Thick Orthotropic Shell. The Journal of the Acoustical Society of America, 39, 1-7, 1966
  • [4] Ahmed, N., Axisymmetric Plane‐Strain Vibrations of a Thick‐Layered Orthotropic Cylindrical Shell. The Journal of the Acoustical Society of America, 40, 1509-1516, 1966
  • [5] Ghosh, A., Axisymmetric vibration of a long cylinder. Journal of sound and vibration, 186, 711-721, 1995
  • [6] Güven, U.u., On stress distributions in functionally graded isotropic spheres subjected to internal pressure. Mechanics Research Communications, 3, 277-281, 2001
  • [7] Tutuncu, N. and M. Ozturk, Exact solutions for stresses in functionally graded pressure vessels. Composites Part B: Engineering, 32, 683-686, 2001
  • [8] Horgan, C. and A. Chan, The pressurized hollow cylinder or disk problem for functionally graded isotropic linearly elastic materials. Journal of Elasticity, 55, 43-59, 1999
  • [9] Obata, Y. and N. Noda, Steady thermal stresses in a hollow circular cylinder and a hollow sphere of a functionally gradient material. Journal of Thermal stresses, 17, 471-487, 1994
  • [10] Tutuncu, N. and B. Temel, A novel approach to stress analysis of pressurized FGM cylinders, disks and spheres. Composite Structures, 91, 385-390, 2009
  • [11] Loy, C., K. Lam, and J. Reddy, Vibration of functionally graded cylindrical shells. International Journal of Mechanical Sciences, 41, 309-324, 1999
  • [12] Pradhan, S., C. Loy, K. Lam, and J. Reddy, Vibration characteristics of functionally graded cylindrical shells under various boundary conditions. Applied Acoustics, 61, 111-129, 2000
  • [13] Bayat, M., M. Saleem, B. Sahari, A. Hamouda, and E. Mahdi, Analysis of functionally graded rotating disks with variable thickness. Mechanics Research Communications, 35, 283-309, 2008
  • [14] Xiang, H., Z. Shi, and T. Zhang, Elastic analyses of heterogeneous hollow cylinders. Mechanics Research Communications, 33, 681-691, 2006
  • [15] Han, X., G. Liu, Z. Xi, and K. Lam, Transient waves in a functionally graded cylinder. International Journal of Solids and Structures, 38, 3021-3037, 2001
  • [16] Shakeri, M., M. Akhlaghi, and S. Hoseini, Vibration and radial wave propagation velocity in functionally graded thick hollow cylinder. Composite structures, 76, 174-181, 2006
  • [17] Ng, T., K. Lam, K. Liew, and J. Reddy, Dynamic stability analysis of functionally graded cylindrical shells under periodic axial loading. International Journal of Solids and Structures, 38, 1295-1309, 2001
  • [18] Keles, I., Elastic response of FGM and anisotropic thick-walled pressure vessels under dynamic internal pressure. 2007, PhD thesis, Cukurova University.
  • [19] Çalım, F.F., Dynamic analysis of beams on viscoelastic foundation. European Journal of Mechanics-A/Solids, 28, 469-476, 2009
  • [20] Watson, G.N., A treatise on the theory of Bessel functions. 1995: Cambridge university press.
  • [21] Durbin, F., Numerical inversion of Laplace transforms: an efficient improvement to Dubner and Abate's method. The Computer Journal, 17, 371-376, 1974
  • [22] Narayanan, G.V., Numerical Operational Methods in Structural Dynamics. 1981, PhD thesis, University of Minnesota.
  • [23] ANSYS Swanson Analysis System, Inc., 201 Johnson Road, Houston, PA 15342-1300, USA.,
Toplam 23 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Makaleler
Yazarlar

İbrahim Keles

Kutay Aydın 0000-0003-3614-4877

Proje Numarası .
Yayımlanma Tarihi 14 Ekim 2020
Kabul Tarihi 9 Temmuz 2020
Yayımlandığı Sayı Yıl 2020 Cilt: 12 Sayı: 2

Kaynak Göster

APA Keles, İ., & Aydın, K. (2020). Practical Jointed Approach to Functionally Graded Structures. International Journal of Engineering and Applied Sciences, 12(2), 57-69.
AMA Keles İ, Aydın K. Practical Jointed Approach to Functionally Graded Structures. IJEAS. Ekim 2020;12(2):57-69.
Chicago Keles, İbrahim, ve Kutay Aydın. “Practical Jointed Approach to Functionally Graded Structures”. International Journal of Engineering and Applied Sciences 12, sy. 2 (Ekim 2020): 57-69.
EndNote Keles İ, Aydın K (01 Ekim 2020) Practical Jointed Approach to Functionally Graded Structures. International Journal of Engineering and Applied Sciences 12 2 57–69.
IEEE İ. Keles ve K. Aydın, “Practical Jointed Approach to Functionally Graded Structures”, IJEAS, c. 12, sy. 2, ss. 57–69, 2020.
ISNAD Keles, İbrahim - Aydın, Kutay. “Practical Jointed Approach to Functionally Graded Structures”. International Journal of Engineering and Applied Sciences 12/2 (Ekim 2020), 57-69.
JAMA Keles İ, Aydın K. Practical Jointed Approach to Functionally Graded Structures. IJEAS. 2020;12:57–69.
MLA Keles, İbrahim ve Kutay Aydın. “Practical Jointed Approach to Functionally Graded Structures”. International Journal of Engineering and Applied Sciences, c. 12, sy. 2, 2020, ss. 57-69.
Vancouver Keles İ, Aydın K. Practical Jointed Approach to Functionally Graded Structures. IJEAS. 2020;12(2):57-69.
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