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AĞIRLIKLI ARTIKLAR KULLANILARAK NANOÇUBUKLARIN EKSENEL STATİK ANALİZİ İÇİN KESİN ÇÖZÜMLER

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dc.creator YAYLI, Mustafa Özgür; ULUDAG UNIVERSITY
dc.creator KAFKAS, Uğur; ULUDAG UNIVERSITY
dc.creator UZUN, Büşra; ULUDAG UNIVERSITY
dc.date 2021-06-20T00:00:00Z
dc.date.accessioned 2021-12-03T11:45:39Z
dc.date.available 2021-12-03T11:45:39Z
dc.identifier https://dergipark.org.tr/tr/pub/jesd/issue/62893/719059
dc.identifier 10.21923/jesd.719059
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/93691
dc.description Bu çalışmada, Eringen’in yerel olmayan diferansiyel modeli kullanılarak; üçhen yayılı yüklenmiş nano çubukların eksenel statik analizi verilmiştir. Üç ağırlıklı artık tabanlı yöntem (Subdomain, Galerkin ve Least squares yöntemleri) gerçek statik deplasmanı elde etmek için kullanılmıştır. Bu yöntemler bölgenin tamamında integral hatalarını minimize etme varsayımına dayanmaktadır. Sistem denklemleri çözümü aranan bilinmeyenler ile aynı sayıda olmadır. Bu yüzden üç ağırlıklı artık yöntemi için de kübik polinomlar statik deplasmanı göstermek üzere seçilmiştir. Subdomain, Galerkin and Least squares yöntemleriyle gerçek çözümler ile aynı polinomlar olarak elde edilmiştir. Değişik sayıda bilinmeyen içeren sabitler ile grafikler çizdirilerek çözümler gösterilmiştir.Bu çalışmada, Eringen’in yerel olmayan diferansiyel modeli kullanılarak; üçhen yayılı yüklenmiş nano çubukların eksenel statik analizi verilmiştir. Üç ağırlıklı artık tabanlı yöntem (Subdomain, Galerkin ve Least squares yöntemleri) gerçek statik deplasmanı elde etmek için kullanılmıştır. Bu yöntemler bölgenin tamamında integral hatalarını minimize etme varsayımına dayanmaktadır. Sistem denklemleri çözümü aranan bilinmeyenler ile aynı sayıda olmadır. Bu yüzden üç ağırlıklı artık yöntemi için de kübik polinomlar statik deplasmanı göstermek üzere seçilmiştir. Subdomain, Galerkin and Least squares yöntemleriyle gerçek çözümler ile aynı polinomlar olarak elde edilmiştir. Değişik sayıda bilinmeyen içeren sabitler ile grafikler çizdirilerek çözümler gösterilmiştir.
dc.description In the present work, axial static analysis of nanorods under triangular loading is presented via Eringen’s nonlocal differential model. Three weighted residual methods (Subdomain, Galerkin and Least squares methods) are used to obtain the exact static deflection. These methods require that the integral of the error with different assumptions over the domain be set to zero. The number of equations have to be equal to unknown terms. A cubic displacement function has been chosen for three weighted residual methods. Subdomain, Galerkin and Least squares methods yield identical solution as the exact solution. The plots of the solution are shown for different number of unknown coefficients.
dc.format application/pdf
dc.language en
dc.publisher Süleyman Demirel Üniversitesi
dc.publisher Süleyman Demirel University
dc.relation https://dergipark.org.tr/tr/download/article-file/1049483
dc.source Volume: 9, Issue: 2 588-598 en-US
dc.source 1308-6693
dc.source Mühendislik Bilimleri ve Tasarım Dergisi
dc.subject Eksenel Statik,Eksenel Statik,Nanoçubuk,Ağırlıklı Artık Yöntemleri,Yer Değiştirme Fonksiyonu,Gerçek Çözüm
dc.subject Axial Static,Nanorod,Weighted Residual Methods,Displacement Function,Exact Solution
dc.title AĞIRLIKLI ARTIKLAR KULLANILARAK NANOÇUBUKLARIN EKSENEL STATİK ANALİZİ İÇİN KESİN ÇÖZÜMLER tr-TR
dc.title EXACT SOLUTIONS FOR AXIAL STATIC ANALYSIS OF NANORODS USING WEIGHTED RESIDUALS en-US
dc.type info:eu-repo/semantics/article
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