Kalın ve katmanlı kompozit plakaların temel doğal frekansının mekanik özelliklerin küçük değişimlerine duyarlılığı

Year 2021, Volume: 11 Issue: 2, 547 - 553, 15.04.2021

Murat Kara

https://doi.org/10.17714/gumusfenbil.773473

Abstract

Kompozit plakaların istenilen özelliklere göre tasarımı genellikle deneme yanılma ile yapılmaktadır. Bu durum elde edilen nihai tasarım sürecini uzatmaktadır. Dolayısıyla tasarım sırasında istenilen tasarım amaç fonksiyonu üzerinde etkili tasarım parametrelerin belirlenmesi oldukça önemlidir. Bu bağlamda duyarlılık analizi sıklıkla kullanılan yöntemlerden birisidir. Bu çalışmada farklı kalınlıklardaki kalın katmanlı kompozit plakaların temel (birinci) doğal frekansının duyarlılık analizi gerçekleştirilmiştir. Fiber ve fibere dik yöndeki elastisite modülü ve üç yöndeki kayma modülleri tasarım parametreleri olarak seçilmiştir. Ardından sonlu elemanlar tabanlı Monte Carlo simülasyonu ile tasarım parametrelerinin kombinasyonuna karşılık gelen doğal frekanslar hesaplanmıştır. Daha sonra duyarlılık analizi gerçekleştirmek amacıyla matematiksel bir model oluşturulmuştur. Sonuçta kalınlığa bağlı olarak temel doğal frekansın duyarlılığı elde edilmiştir.

Keywords

Doğal frekans, Duyarlılık analizi, Kalın kompozit plaka, Serbest titreşim

Sensitivity of fundamental natural frequency of thick and laminated composite plates in small changes of mechanical properties

Abstract

The design of composite plates according to the desired properties is usually performed by trial and error. This prolongs the final design process. Therefore, it is very important to determine the effective design parameters on the desired design objective function in design processes. In this regard, sensitivity analysis is one of the frequently used methods. In this study, the sensitivity analysis of the fundamental (first) natural frequency of thick layered composite plates with different thicknesses was performed. The elasticity modulus perpendicular to the fibre and among the fibre and the shear modules in the three directions are selected as design parameters. Then, natural frequencies corresponding to the combination of design parameters were calculated with finite element based Monte Carlo simulation. Next, a mathematical model was constructed to perform. As a result, the sensitivity of the fundamental natural frequency was obtained depending on the thickness.

Keywords

Natural frequency, Sensitivity analysis, Thick composite plate, Free vibration

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