GA Optimization of Variable Angle Tow Composites in Buckling and Free Vibration Analysis through Layerwise Theory

Abstract

In the current research, variable angle tow composites are used to improve the buckling and free vibration behavior of a structure. A one-dimensional (1D) Carrera Unified Formulation (CUF) is employed to determine the buckling loads and natural frequencies in Variable Angle Tow (VAT) square plates by taking advantage of the layerwise theory (LW). Subsequently, the Genetic Algorithm (GA) optimization method is applied to maximize the first critical buckling load and first natural frequency using the definition of linear fiber orientation angles. To show the power of the genetic algorithm for the VAT structure, a surrogate model using Response Surface (RS) method was used to demonstrate the convergence of the GA approach. The results showed the cost reduction for optimized VAT performance through GA optimization in combination with the 1D CUF procedure. Additionally, a Latin hypercube sampling (LHS) method with RS was used for buckling analysis. The capability of LHS sampling confirmed that it could be employed for the next stages of research along with GA.

Computational Linear and Nonlinear Free Vibration Analyses of Micro/Nanoscale Composite Plate-Type Structures With/Without Considering Size Dependency Effect: A Comprehensive Review

“…Meanwhile, to enhance the FV and stability behaviors of a composite VAT plate structure. Fallahi [242] employed the GA optimization algorithm, as shown in Fig. 12, to maximize the first NF and the first critical stability load.…”

“…ws y Fig. 12 The GA flowchart combined with Carrera's unified formulation (CUF) [242] The governing equation (GE) for the NL FV of plates based on HPs can be written as [259]:…”

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

“…Çarpık açıların, sınır koşullarının, en-boy oranlarının ve simetrik ve anti-simetrik yerleşimin optimal sonuçlar üzerindeki etkilerini araştırmışlardır. Fallahi (2021) lineer fiber yönlenme açılarının tanımını kullanarak ilk kritik burkulma yükünü ve ilk doğal frekansı maksimize etmek için GA optimizasyon yöntemini uygulamıştır. GA yaklaşımının yakınsamasını göstermek için tepki yüzeyi (RS) yöntemini kullanan bir model geliştirmiştir.…”