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TENSÖRİYEL DEĞİŞKENLER KULLANARAK LAGRANGE, HAMİLTON FORMALİZMLERİNİN ELEKTRİK DEVRELERİNE UYGULANMASI VE FARKLI DİFERANSİYEL DENKLEM SİSTEMLERİNİN ELDE EDİLMESİ: KOORDİNAT SİSTEMLERİNDEN BAĞIMSIZ YAKLAŞIM

APPLICATION OF LAGRANGE, HAMILTON FORMALISMS TO AN ELECTRICAL CIRCUIT USING TENSORIAL VARIABLES AND OBTAINING DIFFERENT FORMS OF SYSTEM OF DIFFERENTIAL EQUATIONS: COORDINATE FREE APPROACH

Journal Name:

  • Dokuz Eylül Üniversitesi Mühendislik Fakültesi Fen ve Mühendislik Dergisi

Publication Year:

  • 2003

Key Words:

Keywords (Original Language):

Author NameUniversity of Author
Abstract (2. Language): 
The study includes a research on applicability of the model, consisting of Lagrangian L and velocity proportional (Rayleigh) dissipation function D or shortly {L,D}-model both obtained using expanded Euler-Lagrange differential equation, on a trivial and pure electrical circuit example and as a result different systems of differential equation including base vectors in different spaces are obtained using different forms of Lagrangian and Hamiltonian.
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Abstract (Original Language): 
Bu çalışmada, genişletilmiş Euler-Lagrange diferansiyel denklemi kullanarak elde edilen Lagrange fonksiyonu L ve hız orantılı (Rayleigh) kayıp fonksiyonu D‘den oluşan modelin, başka bir deyişle {L,D}-modelin, basit ve saf elektriksel bir düzenek örneği üzerine uygulanması incelenmekte ve baz vektörler de dahil olmak üzere farklı Lagrange ve Hamilton fonksiyonları ve sonuç olarak da farklı uzaylardaki ayrı hareket denklem sistemleri elde edilmektedir.
FULL TEXT (PDF): 
PDF icon arastirmax-tensoriyel-degiskenler-kullanarak-lagrange-hamilton-formalizmlerinin-elektrik-devrelerine-uygulanmasi-farkli-diferansiyel-denklem-sistemlerinin-elde-edilmesi-koordinat.pdf
  • 3
69-80
  • Turkish

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