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DİFERANSİYEL QUADRATURE METODU İLE DİKDÖRTGEN VE KARE PLAKLARIN STATİK HESABI

THE STATIC ANALYSIS OF RECTANGULAR AND SQUARE PLATES BY THE METHOD OF DIFFERENTIAL QUADRATURE

Journal Name:

  • Dokuz Eylül Üniversitesi Mühendislik Fakültesi Fen ve Mühendislik Dergisi

Publication Year:

  • 2004

Key Words:

Keywords (Original Language):

Author NameUniversity of AuthorFaculty of Author
Abstract (2. Language): 
The differential quadrature method has been presented in this paper to solve the problem of the deflection analysis of rectangular and square plates for various support conditions. In the method of differential quadrature, partial space derivatives of a function appearing in a differential equation are approximated by means of a polynomial expressed as the weighted linear sum of the function values at a reselected grid of discrete points. The weighting coefficients are treated as the unknowns. Applying this concept to partial derivative of the bending differential equation of plates give a set of linear simultaneous equations, which are solved for the unknown weighting coefficients by accounting for the boundary conditions. Results are compared with existing solutions available from other analytical and numerical methods. The method presented gives accurate results and is computationally efficient.
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Abstract (Original Language): 
Çalışmada diferansiyel quadrature metodu, çeşitli mesnet şartları için dikdörtgen ve kare plakların statik analizine uygulanmıştır. Diferansiyel quadrature metodu; koordinat doğrultusuna göre bir fonksiyonun türevi, çepeçevre saran bir çözüm bölgesindeki yüksek dereceden bir polinom yardımıyla yaklaşım kurabilen sürekli bir fonksiyon ve o doğrultu boyunca bütün ağ noktalarındaki fonksiyon değerlerinin tümünün lineer toplamı olarak ifade edilir. Ağırlık katsayıları bilinmeyenler olarak bulunur. Plağın eğilmesini ifade eden diferansiyel denkleme metot sınır şartları altında tatbik edilerek lineer denklem takımları elde edilmiştir. Elde edilen sonuçlar mevcut analitik ve diğer yaklaşık yöntem değerleri ile karşılaştırılmıştır. Metot sonuçları bakımından yeter doğrulukta olup hesaplayıcı bakımından verimlidir.
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  • 1
115-127
  • Turkish

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