EULER-LAGRANGE EQUATIONS ON THREE-DIMENSIONAL SPACE

Cilt: 10 Sayı: 1 6 Ocak 2015
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EULER-LAGRANGE EQUATIONS ON THREE-DIMENSIONAL SPACE - ÜÇ BOYUTLU UZAYDA EULER-LAGRANGE DENKLEMLERİ

Öz

EULER-LAGRANGE EQUATIONS ON THREE-DIMENSIONAL SPACE

In this article, it is aimed to introduce the Euler-Lagrange equations using a three-dimensional space for mechanical systems. In addition to, the geometrical-physical results related to three-dimensional space for
mechanical systems are also given.

 ÜÇ BOYUTLU UZAYDA EULER-LAGRANGE DENKLEMLERİ

Bu makale ile üç boyutlu uzay kullanılarak mekanik sistemler için Euler-Lagrange denklemlerini tanıtmak amaçlanmıştır. Ek olarak, üç boyutlu uzaydaki mekanik sistemler için geometrik ve fiziksel sonuçlar da verilmiştir.

Anahtar Kelimeler

Kaynakça

  1. J. Klein, Escapes Variationnels et Mécanique, Ann. Inst. Fourier, Grenoble, 12 (1962), 1-124.
  2. M. De Leon, P.R. Rodrigues, Methods of Differential Geometry in Analytical Mechanics, North-Holland Mathematics Studies, 152 (1989).
  3. R. Abraham, J. E. Marsden, T. Ratiu, Manifolds, Tensor Analysis and Applications, Springer, (2001), 483-542.
  4. H. de Vries, Understanding Relativistic Quantum Field Theory, The Hamiltonian and Lagrangian http://www.physics- quest.org/Book_Chapter_Lagrangian.pdf), (2009).
  5. M. Tekkoyun, On Para-Euler Lagrange and Para-Hamiltonian Equations, Physics Letters A, 34 (2005), 7-11. W.K.
  6. Nanomechanics of Materials, American Scientific Publishers, Stevenson Ranch, CA, (2005).
  7. M. Tekkoyun, M. Sari., Bi-para-Mechanical Systems on tThe Bi-Lagrangian Manifold, Physica B-Condensed Matter, 405 (2010), Issue 10, 2390- 23
  8. M. Tekkoyun, Y. Yayli, Mechanical Systems on Generalized-Quaternionic IJGMMP, 8 (2011), No. 7, 1-13. Kähler Manifolds,

Ayrıntılar

Birincil Dil

EN

Konular

-

Bölüm

-

Yazarlar

Yayımlanma Tarihi

6 Ocak 2015

Gönderilme Tarihi

6 Ocak 2015

Kabul Tarihi

-

Yayımlandığı Sayı

Yıl 2014 Cilt: 10 Sayı: 1

Kaynak Göster

APA
Kasap, Z. (2015). EULER-LAGRANGE EQUATIONS ON THREE-DIMENSIONAL SPACE - ÜÇ BOYUTLU UZAYDA EULER-LAGRANGE DENKLEMLERİ. Celal Bayar University Journal of Science, 10(1), 55-61. https://doi.org/10.18466/cbufbe.21908
AMA
1.Kasap Z. EULER-LAGRANGE EQUATIONS ON THREE-DIMENSIONAL SPACE - ÜÇ BOYUTLU UZAYDA EULER-LAGRANGE DENKLEMLERİ. Celal Bayar University Journal of Science. 2015;10(1):55-61. doi:10.18466/cbufbe.21908
Chicago
Kasap, Zeki. 2015. “EULER-LAGRANGE EQUATIONS ON THREE-DIMENSIONAL SPACE - ÜÇ BOYUTLU UZAYDA EULER-LAGRANGE DENKLEMLERİ”. Celal Bayar University Journal of Science 10 (1): 55-61. https://doi.org/10.18466/cbufbe.21908.
EndNote
Kasap Z (01 Ocak 2015) EULER-LAGRANGE EQUATIONS ON THREE-DIMENSIONAL SPACE - ÜÇ BOYUTLU UZAYDA EULER-LAGRANGE DENKLEMLERİ. Celal Bayar University Journal of Science 10 1 55–61.
IEEE
[1]Z. Kasap, “EULER-LAGRANGE EQUATIONS ON THREE-DIMENSIONAL SPACE - ÜÇ BOYUTLU UZAYDA EULER-LAGRANGE DENKLEMLERİ”, Celal Bayar University Journal of Science, c. 10, sy 1, ss. 55–61, Oca. 2015, doi: 10.18466/cbufbe.21908.
ISNAD
Kasap, Zeki. “EULER-LAGRANGE EQUATIONS ON THREE-DIMENSIONAL SPACE - ÜÇ BOYUTLU UZAYDA EULER-LAGRANGE DENKLEMLERİ”. Celal Bayar University Journal of Science 10/1 (01 Ocak 2015): 55-61. https://doi.org/10.18466/cbufbe.21908.
JAMA
1.Kasap Z. EULER-LAGRANGE EQUATIONS ON THREE-DIMENSIONAL SPACE - ÜÇ BOYUTLU UZAYDA EULER-LAGRANGE DENKLEMLERİ. Celal Bayar University Journal of Science. 2015;10:55–61.
MLA
Kasap, Zeki. “EULER-LAGRANGE EQUATIONS ON THREE-DIMENSIONAL SPACE - ÜÇ BOYUTLU UZAYDA EULER-LAGRANGE DENKLEMLERİ”. Celal Bayar University Journal of Science, c. 10, sy 1, Ocak 2015, ss. 55-61, doi:10.18466/cbufbe.21908.
Vancouver
1.Zeki Kasap. EULER-LAGRANGE EQUATIONS ON THREE-DIMENSIONAL SPACE - ÜÇ BOYUTLU UZAYDA EULER-LAGRANGE DENKLEMLERİ. Celal Bayar University Journal of Science. 01 Ocak 2015;10(1):55-61. doi:10.18466/cbufbe.21908