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Öğe Fonksiyonel Derecelenmiş Sandviç Kirişlerin Tamamlayıcı Fonksiyonlar Yöntemi ile Statik Analizi(Çukurova Üniversitesi Mühendislik Fakültesi, 2020) Noori, Ahmad Reshad; Rasooli, Hasibullah; Aslan, Timuçin Alp; Temel, BeytullahBu çalışmada, Fonksiyonel Derecelenmiş (FD) malzemeli simetrik ve simetrik olmayan katmanlardan oluşan sandviç kirişlerin statik davranışı araştırılmıştır. Mekanik özellikleri kesit yüksekliği boyunca değişen sandviç kirişlerin, yüzey tabakaları FD, çekirdek veya öz tabakası ise izotropik homojen malzeme olarak kabul edilmiştir. FD Sandviç kirişlerin eğilme davranışını idare eden kanonik denklemler minimum toplam enerji prensibi yardımıyla Euler-Bernoulli ve Timoshenko kiriş teorilerine göre elde edilmiştir. Elde edilen bu denklemler Tamamlayıcı Fonksiyonlar Yöntemi (TFY) ile sayısal olarak çözülmüştür. Araştırmada, farklı sınır koşullarının, uzunluk-yükseklik (L/h) oranlarının, malzeme değişim katsayılarının ve tabakalanma oranlarının kirişlerin eğilme davranışı üzerindeki etkileri incelenmiştir. Önerilen yöntemin doğruluğu ve uygulanabilirliği, elde edilen sonuçların literatürde bulunan çalışmaların sonuçları ile karşılaştırılarak gösterilmiştir.Öğe On the static analysis of laminated composite frames having variable cross section(SPRINGER HEIDELBERG, TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY, 2021) Rasooli, Hasibullah; Noori, Ahmad Reshad; Temel, BeytullahThe complementary functions method (CFM) is used to investigate the static behavior of laminated composite frames consisting of straight and/or curved members of variable cross section. The Timoshenko beam theory (TBT) is used to obtain the set of the governing equations. The ffth-order Runge–Kutta (RK5) algorithm is employed in the solution process of initial value problems via the CFM. A computer program is substantially coded in Fortran on rigidity matrix based on the CFM to acquire the rigidity matrices and load vectors of these structural elements. With the help of the suggested method, the infuences of the symmetric layer stacking sequence, the ratio of E1/E2, and various boundary conditions on the nodal displacements and element end forces of the considered frames are investigated. Carrying out the static behavior of laminated composite frame systems which contain straight and circular axis elements for the frst time by using the CFM is the novelty of this study. Verifcation and accuracy of the suggested scheme are intently performed through the comparison of the present results with those of the fnite element method. The efectiveness of the method and good agreement of the results are observed.Öğe Static analysis of functionally graded porous beam-column frames by the complementary functions method(Elsevier Science Inc, 2024) Rasooli, Hasibullah; Noori, Ahmad Reshad; Temel, BeytullahIn this paper, an efficient and accurate numerical approach is implemented to examine the static behavior of Functionally Graded Porous (FGP) planar frames for the first time. The symmetric material constitutive relationship (SMCR), monotonic material constitutive relationships (MMCR), and uniform material constitutive relationship (UMCR) models are used to define the gradation of porosity along the thickness direction. The effects of porosity coefficient and material porosity distribution type on the static behavior of the FGP frames are investigated in detail. A direct relation between porosity coefficient and nodal deformations is observed.The effect of shear deformation is considered in the governing equations based on the Timoshenko Beam Theory (TBT). Within the scope of the presented procedure, fifth-order Runge-Kutta (RK5) algorithm is applied in the solution of the initial value problems. Imposing the rigidity matrix-based Complementary Functions Method (CFM) on the static analysis of the FGP planar frames is the novelty of this research. The results of the suggested approach are verified with the those of the finite element method (FEM), and those of the available literature. It has been carried out that type of the porosity distribution and porosity gradient index have an important impact on the response of FGP planar frames. By increasing the porosity coefficient, the displacement values of the frames made of UMCR and MMCR porosity distribution are affected more than those of the UMCR distributions. It can be noted that the SMCR can be preferred for designing the FGP beam-column structure as the minimum deformation values are obtained.