Nonlinear Analysis of Curved Thin Laminated Composite Beams Under Extreme Loading via an Enhanced Mixed Finite Element Formulation

Abstract

In this paper, curved thin laminated composite beams under extreme loading are analyzed. Thus, a novel functional is developed to analyze the geometrically nonlinear behavior of both straight and curved laminated composites. By using the functional together with the mixed finite element method, high precision structural results are obtained for geometrically nonlinear composite beam analysis. By writing the bilinear form, which is a necessary and sufficient condition for the functional structure to be in a potential form, the structure of the boundary condition terms, which produce a very significant efficiency for the functional, is revealed. The incremental formulation method is used as a solution tool in problem solution. Numerical analyzes showed that; The geometric nonlinear behavior of layered composite beams is analyzed with high accuracy thanks to the enhanced functional structure.

Keywords

• Composite beam
• Curved finite element
• Geometrically nonlinear analysis
• Laminated structure
• Mixed type functional

Geliştirilmiş Karışık Sonlu Eleman Formülasyonu ile Aşırı Yükleme Altında Eğrisel İnce Tabakalı Kompozit Kirişlerin Doğrusal Olmayan Analizi

Abstract

Bu çalışmada, eğri ince tabakalı kompozit kirişler aşırı yükleme altında analiz edilmiştir. Böylece, hem düz hem de eğri tabakalı kompozitlerin geometrik olarak doğrusal olmayan davranışlarını analiz etmek için yeni bir fonksiyonel geliştirilmiştir. Fonksiyonelin karışık sonlu elemanlar yöntemi ile birlikte kullanılmasıyla, geometrik olarak doğrusal olmayan kompozit kiriş analizi için yüksek hassasiyetli yapısal sonuçlar elde edilmiştir. Fonksiyonel yapının potansiyel formunda olması için gerekli ve yeterli koşul olan formun yazılmasıyla, fonksiyonel için çok önemli bir verimlilik üreten sınır koşulu terimlerinin yapısı ortaya çıkarılmıştır. Artımlı formülasyon yöntemi, problem çözümünde bir çözüm aracı olarak kullanılmıştır. Sayısal analizler göstermiştir ki; Geliştirilmiş fonksiyonel yapı sayesinde, katmanlı kompozit kirişlerin geometrik doğrusal olmayan davranışı yüksek doğrulukla analiz edilmektedir.

Keywords

• Kompozit kiriş
• Eğrisel sonlu elemanlar
• Geometrik olarak doğrusal olmayan analiz
• Lamine yapı
• Karışık sonlu elemanlar

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