Farklı Fiber Yönlenme Açılarının Tabakalı Kompozit Kirişlerin Doğal Frekansına Etkisinin Yanıt Yüzey Metodu ile İncelenmesi

Bu çalışma, farklı fiber yönlenme açılarının karbon elyaf takviyeli epoksi tabakalı kompozitlerin doğal frekans değerlerine ne şekilde etki ettiğinin yanıt yüzey metodu (YYM) ile belirlenmesini amaçlamaktadır. Box-Behnken tasarımına (BBT) göre belirlenen 15 adet tasarım konfigürasyonu ile deney tasarımı gerçekleştirilmiştir. ANSYS sonlu elamanlar analizi paket programında deney tasarım noktalarındaki girdi parametrelerine uygun olarak oluşturulan modellerin modal analizleri gerçekleştirilmiştir. Temel frekans değerleri yanıt vektörü olarak elde edilmiştir. Kuadratik regresyon (KR) modelinin kurulması için girdi parametreleri ve bu parametrelere karşılık gelen yanıt verileri kullanılmıştır. Modelin tahmin kabiliyetinin artırılması ve daha basit bir model kurulması amacıyla, istatistiksel olarak anlamsız olan terimler modelden çıkarılmıştır. Varyans analizi (ANOVA) sonuçlarına göre, literatürle uyumlu bir şekilde, dış tabakalardaki fiber yönlenme açılarının yapının doğal frekansına olan etkisinin, tarafsız eksende bulunan merkez tabakaya kıyasla yaklaşık 2 kat daha fazla olduğu hesaplanmıştır. Rastgele tasarım parametrelerinde modellenen 112 adet sonlu elemanlar modeli modal analize tabi tutulmuştur. Titreşim analizi sonuçları kullanılarak makine öğrenmesi tabanlı “Gauss Process Regression” yöntemi ile yeni bir regresyon modeli kurulmuştur. Önerilen bu matematiksel modelin BBT örneklem parametreleri için KR modeline kıyasla yaklaşık 34 kat daha az hata ile tahmin sağlayabildiği belirlenmiştir.

Anahtar Kelimeler:

Tabakalı Kompozitler, Titreşim Analizi, Sonlu Elemanlar Metodu, Box-Behnken Yöntemi, Yanıt Yüzey Metodu

Investigating the Effect of Different Fiber Orientation Angles on the Natural Frequency of Laminated Composite Beams by Response Surface Method

This study aims to determine how different fiber orientation angles affect the natural frequency values of carbon fiber reinforced epoxy layered composites by response surface method (RSM). Experimental design was carried out with 15 design configurations determined according to the Box-Behnken Design (BBD). Modal analyzes of the models created in accordance with the input parameters at the experimental design points were carried out in the ANSYS finite element analysis package program. The fundamental frequency values were obtained as the response vector. Input parameters and corresponding response data were used to construct the quadratic regression (QR) model. Statistically insignificant terms were removed from the model in order to increase the predictive ability of the model and to establish a simpler model. According to the analysis of variance (ANOVA) results, in accordance with the literature, the effect of fiber orientation angles in the outer layers on the natural frequency of the structure was calculated to be approximately 2 times higher than in the central layer located in the neutral axis. 112 finite element models modeled in random design parameters were subjected to modal analysis. A new regression model was established with the machine learning-based "Gaussian Process Regression" method using the vibration analysis results. It has been determined that this proposed mathematical model can provide an estimate with approximately 34 times less error for BBD sampling parameters compared to the QR model.

Keywords:

Tabakalı Kompozitler, Titreşim Analizi, Sonlu Elemanlar Metodu, Box-Behnken Yöntemi, Yanıt Yüzey Metodu,

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