BOUNDARY DISCONTINUOUS FOURIER ANALYSIS OF A DOUBLY CURVED CROSS-PLY LAMINATED COMPOSITE SHELL

Year 2010, Volume: 6 Issue: 2, 149 - 165, 01.07.2010

Veysel Alankaya

Abstract

A new analytical solution to the problem of deformation for a cross-ply, thick laminated composite shell in a rectangular plan form is presented. The solution methodology is based on boundary discontinuous generalized double Fourier series approach and used to solve a system of five highly coupled linear partial differential equations which are generated from Higher Order Shear Deformation Theory (HSDT). Boundary conditions are defined as follows; two opposite edges are SS3 and the others are SS1. The major result of the present study is to declare analytic solution functions of defined boundary discontinuity which is unavailable in the literature. 

Keywords

Laminated composite plate, HSDT, boundary-discontinuity, Fourier analysis, doubly curved shell

SÜREKSİZ SINIRLARA SAHİP, ÇİFT EĞRİLİKLİ, ÇAPRAZ KATLI LAMİNE KOMPOZİT KABUĞUN FOURIER ANALİZİ

Abstract

Bu çalışmada, çapraz katlı, kalın, ortogonal kompozit kabuğun SS3-SS1 sınır
şartları altında deformasyonunun belirlenebilmesi için yeni bir analitik çözüm
sunulmuştur. Çözüm tekniği süreksiz sınırlar için düzenlenmiş çiftli Fourier
serilerine dayanır ve Yüksek Mertebeli Deformasyon Teorileri kullanılarak
oluşturulmuş kısmi diferansiyel denklemler kullanılır. Kullanılan sınır şartları;
iki karşılıklı kenar için SS3 ve diğer kenarlar için ise SS1 olarak
tanımlanmıştır. Çalışmanın başlıca sonucu henüz literatürde bulunmayan
bahse konu sınır koşullarının analitik çözümüne ait kısmi diferansiyel
denklemlerin belirlenmesidir

Keywords

Lamine kompozit levha, sinir süreksizliği, Fourier analizi, HSDT, çift eğrilikli kabuk

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