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Fonksiyonel Derecelendirilmiş (Fd) İleri Kompozit Plakların Statik Analizi

Year 2014, Volume 29, Issue 1, 26.03.2014
https://doi.org/10.17341/gummfd.09467

Abstract

Süreksiz Fourier serileri yöntemiyle fonksiyonel olarak derecelendirilmiş (FD) kompozit plakların statik analizi
analitik bir çözüm tekniğiyle gerçekleştirilmiştir. Kısmi türevli yüksek dereceden lineer diferansiyel denklemlerin oluşturduğu sistem, ankastre ve basit mesnetli sınır şartları için süreksiz Fourier serileri yöntemiyle çözülmüştür. Plakın mekanik özelliklerinin kalınlık boyunca, bileşenlerin hacim oranları ölçüsünde üstel bir şekilde dağıldığı kabulü yapılmıştır. Analitik çözüm, sabit yayılı yük için, ticari bir sonlu elemanlar programı
kullanılarak karşılaştırılmıştır. Sonuçların sonlu elemanlar çözümüyle elde edilenlerle yakın olduğu görülmüştür.

References

  • Koizumi M., “The Concept of FGM”, Ceram
  • Trans Func Grad Mater, Cilt 34, No 3–10,
  • -
  • Reddy, J.N., “Analysis of Functionally Graded
  • Plates”, International Journal for Numerical
  • Methods in Engineering, Cilt 47, No 1-3, 663-
  • , 2000.
  • Zenkour, A.M., “Generalized Shear Deformation
  • Theory for Bending Analysis of Functionally
  • Graded Plates”, Applied Mathematical
  • Modelling, Cilt 30, No 1, 67-84, 2006.
  • Nguyen T-K., Sab, K. ve Bonnet, G., “First-
  • Order Shear Deformation Plate Models for
  • Functionally Graded Materials”, Composite
  • Structures, Cilt 83, No 1, 25-36, 2008.
  • Matsunaga, H., “Stress Analysis of Functionally
  • Graded Plates Subjected to Thermal and
  • Mechanical Loadings”, Composite Structures,
  • Cilt 87, No 4, 344-357, 2009.
  • Fares, M.E., Elmarghany, M.Kh. ve Atta, D., “An
  • Efficient and Simple Refined Theory for Bending
  • and Vibration of Functionally Graded Plates”,
  • Composite Structures, Cilt 91, No 3, 296-305,
  • -
  • Brischetto, S. ve Carrera, E., “Advanced Mixed
  • Theories for Bending Analysis of Functionally
  • Graded Plates”, Computers and Structures, Cilt
  • , No 23-24, 1474–1483, 2010.
  • Zenkour, A.M. ve Alghamdi, N.A., “Bending
  • Analysis of Functionally Graded Sandwich Plates
  • Under the Effect of Mechanical and Thermal
  • Loads”, Mechanics of Advanced Materials and
  • Structures, Cilt 17, No 6, 419–432, 2010.
  • Mechab, I., Atmane, H.A., Tounsi, A., Belhadj,
  • H.A. ve Bedia E.A., “A Two Variable Refined
  • Plate Theory for the Bending Analysis of
  • Functionally Graded Plates”, Acta Mechanica
  • Sinica, Cilt 26, No 6, 941–949, 2010.
  • Merdaci, S., Tounsi, A.,Houari, M.S.A., Mechab,
  • I., Hebali, H. ve Benyoucef, S., “Two New Refined Shear Displacement Models for
  • Functionally Graded Sandwich Plates”, Archive
  • of Applied Mechanics, Cilt 81, No 11, 1507–
  • , 2011.
  • Mantari, J.L., Oktem, A.S. ve Soares, C.G.,
  • “Bending Response of Functionally Graded
  • Plates by Using a New Higher Order Shear
  • Deformation Theory”, Composite Structures,
  • Cilt 94, No 2, 714–723, 2012.
  • Mantari, J.L. ve Guedes Soares, C., “A Novel
  • Higher-Order Shear Deformation Theory with
  • Stretching Effect for Functionally Graded
  • Plates”, Composite Structures, Cilt 45, No 1,
  • –281, 2013.
  • Mechab, I., Mechab, B. ve Benaissa, S., “Static
  • and Dynamic Analysis of Functionally Graded
  • Plates Using Four-Variable Refined Plate Theory
  • by the New Function”, Composite Structures,
  • Cilt 45, No 1, 748–757, 2013.
  • Pendhari, S.S., Kant, T., Desai, Y.M. ve
  • Subbaiah, C.V., “Static Solutions for
  • Functionally Graded Simply Supported Plates”,
  • International Journal of Mechanics and
  • Materials in Design, Cilt 8, No 1, 51–69, 2012.
  • Aghdam, M.M., Bigdeli, K. ve Shahmansouri,
  • N., “A Semi-Analytical Solution for Bending of
  • Moderately Thick Doubly Curved Functionally
  • Graded Panels”, Mechanics of Advanced
  • Materials and Structures, Cilt 17, No 5, 320–
  • , 2010.
  • Elishakoff, I., “Three-Dimensioanl Analysis of an
  • All-Round Clamped Plate Made of Functionally
  • Graded Materials”, Acta Mechanica, Cilt 180,
  • No 1-4, 21-36, 2005.
  • Xu, Y. ve Zhou, D., “Three-Dimensional
  • Elasticity Solution of Functionally Graded
  • Rectangular Plates with Variable Thickness”,
  • Composite Structures, Cilt 91, No 1, 56–65,
  • -
  • Oktem, A.S., Mantari, J.L. ve Guedes Soares, C.,
  • “Static Response of Functionally Graded Plates
  • and Doubly-Curved Shells Based on a Higher
  • Order Shear Deformation Theory”, European
  • Journal of Mechanics - A/Solids, Cilt 36, 163-
  • , 2012.
  • Birman, V. ve Byrd, L.W., “Modeling and
  • Analysis of Functionally Graded Materials and
  • Structures”, Applied Mechanics Reviews, Cilt
  • , No 1-6, 195-216, 2007.
  • Jha, D.K., Kant, T. ve Singh, R.K., “A Critical
  • Review of Recent Research on Functionally
  • Graded Plates”, Composite Structures, Cilt 96,
  • –849, 2013.
  • Oktem, A.S. ve Chaudhuri, R.A., “Boundary
  • Discontinuous Fourier Analysis of Thick Cross-
  • Ply Clamped Plates”, Composite Structures,
  • Cilt 82, No 4, 539-548, 2008.
  • Oktem, A.S. ve Chaudhuri, R.A., “Effect of
  • Inplane Boundary Constraints on the Response of
  • Thick General (Unsymmetric) Cross-Ply Plates”,
  • Composite Structures, Cilt 83, No 1, 1-12,
  • -
  • Oktem, A.S. ve Chaudhuri, R.A., “Fourier
  • Solution to a Thick Cross-Ply Levy Type Clamped Plate Problem”, Composite Structures,
  • Cilt 79, No 4, 481-492, 2007.
  • Reddy JN., “A Simple Higher-Order Theory for
  • Laminated Composite Plates”, Journal of
  • Applied Mechanics-Transactions of the
  • ASME, Cilt 51, No 4, 745-752, 1984.
  • Chaudhuri, R.A., “On the Roles of
  • Complementary and Admissible Boundary
  • Constraints in Fourier Solutions to Boundary-Value Problems of Completely Coupled rth Order
  • PDES”, Journal of Sound and Vibration, 251,
  • No 2, 261–313, 2002.
  • Chaudhuri, R.A., “On Boundary-Discontinuous
  • Double Fourier Series Solution to a System of
  • Completely Coupled PDES.”, International
  • Journal of Engineering Science, Cilt 27, No 9,
  • -1022, 1989.

Year 2014, Volume 29, Issue 1, 26.03.2014
https://doi.org/10.17341/gummfd.09467

Abstract

References

  • Koizumi M., “The Concept of FGM”, Ceram
  • Trans Func Grad Mater, Cilt 34, No 3–10,
  • -
  • Reddy, J.N., “Analysis of Functionally Graded
  • Plates”, International Journal for Numerical
  • Methods in Engineering, Cilt 47, No 1-3, 663-
  • , 2000.
  • Zenkour, A.M., “Generalized Shear Deformation
  • Theory for Bending Analysis of Functionally
  • Graded Plates”, Applied Mathematical
  • Modelling, Cilt 30, No 1, 67-84, 2006.
  • Nguyen T-K., Sab, K. ve Bonnet, G., “First-
  • Order Shear Deformation Plate Models for
  • Functionally Graded Materials”, Composite
  • Structures, Cilt 83, No 1, 25-36, 2008.
  • Matsunaga, H., “Stress Analysis of Functionally
  • Graded Plates Subjected to Thermal and
  • Mechanical Loadings”, Composite Structures,
  • Cilt 87, No 4, 344-357, 2009.
  • Fares, M.E., Elmarghany, M.Kh. ve Atta, D., “An
  • Efficient and Simple Refined Theory for Bending
  • and Vibration of Functionally Graded Plates”,
  • Composite Structures, Cilt 91, No 3, 296-305,
  • -
  • Brischetto, S. ve Carrera, E., “Advanced Mixed
  • Theories for Bending Analysis of Functionally
  • Graded Plates”, Computers and Structures, Cilt
  • , No 23-24, 1474–1483, 2010.
  • Zenkour, A.M. ve Alghamdi, N.A., “Bending
  • Analysis of Functionally Graded Sandwich Plates
  • Under the Effect of Mechanical and Thermal
  • Loads”, Mechanics of Advanced Materials and
  • Structures, Cilt 17, No 6, 419–432, 2010.
  • Mechab, I., Atmane, H.A., Tounsi, A., Belhadj,
  • H.A. ve Bedia E.A., “A Two Variable Refined
  • Plate Theory for the Bending Analysis of
  • Functionally Graded Plates”, Acta Mechanica
  • Sinica, Cilt 26, No 6, 941–949, 2010.
  • Merdaci, S., Tounsi, A.,Houari, M.S.A., Mechab,
  • I., Hebali, H. ve Benyoucef, S., “Two New Refined Shear Displacement Models for
  • Functionally Graded Sandwich Plates”, Archive
  • of Applied Mechanics, Cilt 81, No 11, 1507–
  • , 2011.
  • Mantari, J.L., Oktem, A.S. ve Soares, C.G.,
  • “Bending Response of Functionally Graded
  • Plates by Using a New Higher Order Shear
  • Deformation Theory”, Composite Structures,
  • Cilt 94, No 2, 714–723, 2012.
  • Mantari, J.L. ve Guedes Soares, C., “A Novel
  • Higher-Order Shear Deformation Theory with
  • Stretching Effect for Functionally Graded
  • Plates”, Composite Structures, Cilt 45, No 1,
  • –281, 2013.
  • Mechab, I., Mechab, B. ve Benaissa, S., “Static
  • and Dynamic Analysis of Functionally Graded
  • Plates Using Four-Variable Refined Plate Theory
  • by the New Function”, Composite Structures,
  • Cilt 45, No 1, 748–757, 2013.
  • Pendhari, S.S., Kant, T., Desai, Y.M. ve
  • Subbaiah, C.V., “Static Solutions for
  • Functionally Graded Simply Supported Plates”,
  • International Journal of Mechanics and
  • Materials in Design, Cilt 8, No 1, 51–69, 2012.
  • Aghdam, M.M., Bigdeli, K. ve Shahmansouri,
  • N., “A Semi-Analytical Solution for Bending of
  • Moderately Thick Doubly Curved Functionally
  • Graded Panels”, Mechanics of Advanced
  • Materials and Structures, Cilt 17, No 5, 320–
  • , 2010.
  • Elishakoff, I., “Three-Dimensioanl Analysis of an
  • All-Round Clamped Plate Made of Functionally
  • Graded Materials”, Acta Mechanica, Cilt 180,
  • No 1-4, 21-36, 2005.
  • Xu, Y. ve Zhou, D., “Three-Dimensional
  • Elasticity Solution of Functionally Graded
  • Rectangular Plates with Variable Thickness”,
  • Composite Structures, Cilt 91, No 1, 56–65,
  • -
  • Oktem, A.S., Mantari, J.L. ve Guedes Soares, C.,
  • “Static Response of Functionally Graded Plates
  • and Doubly-Curved Shells Based on a Higher
  • Order Shear Deformation Theory”, European
  • Journal of Mechanics - A/Solids, Cilt 36, 163-
  • , 2012.
  • Birman, V. ve Byrd, L.W., “Modeling and
  • Analysis of Functionally Graded Materials and
  • Structures”, Applied Mechanics Reviews, Cilt
  • , No 1-6, 195-216, 2007.
  • Jha, D.K., Kant, T. ve Singh, R.K., “A Critical
  • Review of Recent Research on Functionally
  • Graded Plates”, Composite Structures, Cilt 96,
  • –849, 2013.
  • Oktem, A.S. ve Chaudhuri, R.A., “Boundary
  • Discontinuous Fourier Analysis of Thick Cross-
  • Ply Clamped Plates”, Composite Structures,
  • Cilt 82, No 4, 539-548, 2008.
  • Oktem, A.S. ve Chaudhuri, R.A., “Effect of
  • Inplane Boundary Constraints on the Response of
  • Thick General (Unsymmetric) Cross-Ply Plates”,
  • Composite Structures, Cilt 83, No 1, 1-12,
  • -
  • Oktem, A.S. ve Chaudhuri, R.A., “Fourier
  • Solution to a Thick Cross-Ply Levy Type Clamped Plate Problem”, Composite Structures,
  • Cilt 79, No 4, 481-492, 2007.
  • Reddy JN., “A Simple Higher-Order Theory for
  • Laminated Composite Plates”, Journal of
  • Applied Mechanics-Transactions of the
  • ASME, Cilt 51, No 4, 745-752, 1984.
  • Chaudhuri, R.A., “On the Roles of
  • Complementary and Admissible Boundary
  • Constraints in Fourier Solutions to Boundary-Value Problems of Completely Coupled rth Order
  • PDES”, Journal of Sound and Vibration, 251,
  • No 2, 261–313, 2002.
  • Chaudhuri, R.A., “On Boundary-Discontinuous
  • Double Fourier Series Solution to a System of
  • Completely Coupled PDES.”, International
  • Journal of Engineering Science, Cilt 27, No 9,
  • -1022, 1989.

Details

Primary Language English
Journal Section Makaleler
Authors

Ahmet ÖKTEM This is me

Publication Date March 26, 2014
Application Date March 26, 2014
Acceptance Date
Published in Issue Year 2014, Volume 29, Issue 1

Cite

Bibtex @ { gazimmfd89206, journal = {Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi}, issn = {1300-1884}, eissn = {1304-4915}, address = {}, publisher = {Gazi University}, year = {2014}, volume = {29}, number = {1}, pages = {0 - }, doi = {10.17341/gummfd.09467}, title = {Fonksiyonel Derecelendirilmiş (Fd) İleri Kompozit Plakların Statik Analizi}, key = {cite}, author = {Öktem, Ahmet} }
APA Öktem, A. (2014). Fonksiyonel Derecelendirilmiş (Fd) İleri Kompozit Plakların Statik Analizi . Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi , 29 (1) , . DOI: 10.17341/gummfd.09467
MLA Öktem, A. "Fonksiyonel Derecelendirilmiş (Fd) İleri Kompozit Plakların Statik Analizi" . Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi 29 (2014 ): <https://dergipark.org.tr/en/pub/gazimmfd/issue/6706/89206>
Chicago Öktem, A. "Fonksiyonel Derecelendirilmiş (Fd) İleri Kompozit Plakların Statik Analizi". Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi 29 (2014 ):
RIS TY - JOUR T1 - Fonksiyonel Derecelendirilmiş (Fd) İleri Kompozit Plakların Statik Analizi AU - Ahmet Öktem Y1 - 2014 PY - 2014 N1 - doi: 10.17341/gummfd.09467 DO - 10.17341/gummfd.09467 T2 - Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi JF - Journal JO - JOR SP - 0 EP - VL - 29 IS - 1 SN - 1300-1884-1304-4915 M3 - doi: 10.17341/gummfd.09467 UR - https://doi.org/10.17341/gummfd.09467 Y2 - 2022 ER -
EndNote %0 Journal of the Faculty of Engineering and Architecture of Gazi University Fonksiyonel Derecelendirilmiş (Fd) İleri Kompozit Plakların Statik Analizi %A Ahmet Öktem %T Fonksiyonel Derecelendirilmiş (Fd) İleri Kompozit Plakların Statik Analizi %D 2014 %J Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi %P 1300-1884-1304-4915 %V 29 %N 1 %R doi: 10.17341/gummfd.09467 %U 10.17341/gummfd.09467
ISNAD Öktem, Ahmet . "Fonksiyonel Derecelendirilmiş (Fd) İleri Kompozit Plakların Statik Analizi". Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi 29 / 1 (March 2014): 0- . https://doi.org/10.17341/gummfd.09467
AMA Öktem A. Fonksiyonel Derecelendirilmiş (Fd) İleri Kompozit Plakların Statik Analizi. Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi. 2014; 29(1): 0-.
Vancouver Öktem A. Fonksiyonel Derecelendirilmiş (Fd) İleri Kompozit Plakların Statik Analizi. Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi. 2014; 29(1): 0-.
IEEE A. Öktem , "Fonksiyonel Derecelendirilmiş (Fd) İleri Kompozit Plakların Statik Analizi", Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi, vol. 29, no. 1, pp. 0, Mar. 2014, doi:10.17341/gummfd.09467