Eksenel yönde tabakalı kirişlerin temel frekansı üzerinde tabaka dizilişinin etkileri

Bu çalışmada eksenel yönde tabakalara sahip kirişlerin serbest titreşim davranışı üzerinde tabaka dizilişinin etkisi Timoshenko kiriş teorisine göre sonlu elemanlar programı (ANSYS) kullanılarak incelenmiştir. Her tabaka Alüminyum/Alüminyum oksit, Alüminyum/Zirkonyum ve Alüminyum/Nikel gibi farklı sistemlere sahiptir. Tabaka dizilişi Taguchi Metodunda L9 orthogonal dizi kullanılarak yürütülmüştür. Optimum tabaka dizilişini elde edebilmek için Taguchi Metodu ve optimum tabaka kombinasyonu kullanıldı. Yanıtlar üzerinde önemli tabakaları ve katkı yüzdelerini gerçekleştirebilmek için Varyans Analizi (ANOVA) kullanıldı. Sonuçlara göre yanıtlar üzerinde en etkili parametreler sırasıyla %67.94 ile Alüminyum/Alüminyum oksit, %31.08 ile Alüminyum/Nikel ve %0.95 ile Alüminyum/Zirkonyum için elde eddilmiştir. İlk mod olarak da bilinen temel frekans değerleri tabakalardaki Alüminyum/Alüminyum oksit ve Alüminyum/Zirkonyum içeriklerinin artmasıyla artmış ve Alüminyum/Nikel içeriğinin artması ile azalmıştır.

The effects of layer arrangements on fundamental frequency of layered beams in axial direction

In this study, the influence of layer arrangements on free vibration behavior of beams which have layers in the axial direction is investigated according to Timoshenko Beam Theory by using finite element program (ANSYS). Each layer has different systems such as Aluminum/Alumina, Aluminum/Zirconia and Aluminum/Nickel. Layer arrangements are conducted using the L9 orthogonal array in Taguchi Method. In order to obtain the sorting order of optimum layers, Taguchi Method and optimum layer combination are utilized. Analysis of Variance (ANOVA) is used to carry out the significant layers and percentage of contribution on the responses. According to the results, the most effective parameters on the responses are obtained for Aluminum/Alumina with 67.94%, Aluminum/Nickel with 31.08% and Aluminum/Zirconia with 0.95%, respectively. Fundamental frequency values, also known as the first mode frequency values, increase with the increasing Aluminum/Alumina and Aluminum/Zirconia contents and decrease with the increasing Aluminum/Nickel content in layers.

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