BENDING ANALYSIS OF BILATERALLY CLAMPED THICK CROSS-PLY COMPOSITE PLATES

Yıl 2017, Cilt: 19 Sayı: 57, 908 - 926, 01.09.2017

Veysel Alankaya

Öz

Bending deformation of composite plates is consistent investigation by means of varying boundary conditions and laminations. In this study bending analysis of laminated composites which has clamped boundaries at bilateral edges while the other opposites are free are investigated by a new analytical solution methodology based on third order shear deformation theory. The aim of this study is to present the analytical methodology for an unsolved boundary condition result in a gap in the literature. Double Fourier series are used to solve highly coupled linear partial differential equations for the clamped boundary conditions prescribed on the edges. The complementary boundary constraints are introduced through discontinuities at the boundaries which are generated by the selected boundary conditions, resulting in the derivation of the complementary solution. The numerical results of the new model is compared by the counterparts obtained by finite element analyses

Anahtar Kelimeler

Analytical solution, Cross-ply plates, Fourier analysis, Higher order shear deformation theory

KARŞILIKLI KENARLARI ANKASTRE ÇAPRAZ DİZİLİMLİ KALIN KOMPOZİT PLAKLARIN EĞİLME ANALİZİ

Öz

Kompozit plakların farklı sınır şartları ve dizilimler etkisi altında eğilme deformasyonu süregelen bir araştırma konusudur. Bu çalışmada, karşılıklı iki kenarı ankastre diğer kenarları serbest sınır şartlarına sahip lamine kompozitlerin eğilme deformasyonu üçüncü mertebeden kayma deformasyon teorisine dayanan bir analitik çözüm yöntemi ile incelenmiştir. Bu çalışmanın amacı halen literatürde bir boşluk oluşturan çözülmemiş sınır şartları için analitik bir çözüm metodu sunmaktır. Karşılıklı kenarlar için tariflenen ankastre sınır şartı için yüksek mertebeli kısmi diferansiyel denklem çözümlerinde çift Fourier serileri kullanılmıştır. Tanımlanmış sınır şartları etkisiyle çözümde oluşan süreksizlikler sınırlarda tanımlanmış katsayılar ile çözüme dahil edilmiştir. Yeni modelin sonuçları sonlu elemanlar yöntemi analizleri ile elde edilen muadilleri ile karşılaştırılmıştır

Anahtar Kelimeler

Analitik çözüm, Çapraz dizilimli plaklar, Fourier analizi, Yüksek mertebeli kayma deformasyon teorisi

Kaynakça

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