Free Vibration Analysis of Syntactic Foam Curved Beams by Differential Quadrature Method

Abstract

In this study, the free vibration analysis of syntactic foam curved beams with two simply supported ends was numerically investigated by the Differential Quadrature Method (DQM). The displacement field was expressed according to classical beam theory, and motion equations were derived by Newton's laws of motion. For this purpose, a DQM code was developed using MATLAB, and the natural frequencies of structures were obtained to examine the effects of material parameters such as microballoon (MB) volume fractions, MB densities, as well as geometric parameters like curvature angle and curvature radius on the free vibration analysis of epoxy/glass microballoon-based syntactic foam curved beams. The results obtained from the research indicate that MB volume fractions, densities, and the geometric characteristics of curved beams significantly influence the vibration behavior of syntactic foam curved beams.

Keywords

• Syntactic foam
• Vibration analysis
• Numerical analysis
• Differential quadrature method

Sentaktik Köpük Eğri Kirişlerin Diferansiyel Quadrature Metodu ile Serbest Titreşim Analizi

Abstract

Bu çalışmada, iki ucu basit mesnetli sınır şartına sahip sentaktik köpük eğri kirişlerin serbest titreşim analizleri Diferansiyel Qaudrature metodu (DQM) ile nümerik olarak incelenmiştir. Yer değiştirme alanı, klasik kiriş teorisine göre ifade edilmiş; Newton’un hareket yasaları kullanılarak hareket denklemleri elde edilmiştir. Bu amaçla, MATLAB kullanılarak bir DQM kodu geliştirilmiş ve epoksi/cam mikro balon (MB) bazlı sentaktik köpük eğri kirişlerin MB hacim oranları, MB yoğunlukları gibi malzeme parametrelerinin ve eğrilik açısı ve eğrilik yarıçapı gibi geometrik parametrelerinin serbest titreşim analizi üzerindeki etkilerini incelemek için yapıların doğal frekansları elde edilmiştir. Araştırmadan elde edilen sonuçlar, MB hacim oranlarının, yoğunluklarının ve eğri kirişin geometrik özelliklerinin sentaktik köpük eğri kirişlerin titreşim davranışlarını önemli ölçüde etkilediğini ortaya koymaktadır.

Keywords

• Sentetik köpük
• Titreşim analizi
• Nümerik analiz
• Diferansiyel quadrature metodu

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