EULER-LAGRANGE EQUATIONS ON THREE-DIMENSIONAL SPACE - ÜÇ BOYUTLU UZAYDA EULER-LAGRANGE DENKLEMLERİ

Volume: 10 Number: 1 January 6, 2015
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EULER-LAGRANGE EQUATIONS ON THREE-DIMENSIONAL SPACE - ÜÇ BOYUTLU UZAYDA EULER-LAGRANGE DENKLEMLERİ

Abstract

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.

Keywords

References

  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,

Details

Primary Language

EN

Subjects

-

Journal Section

-

Authors

Publication Date

January 6, 2015

Submission Date

January 6, 2015

Acceptance Date

-

Published in Issue

Year 2014 Volume: 10 Number: 1

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. CBUJOS. 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 (January 1, 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”, CBUJOS, vol. 10, no. 1, pp. 55–61, Jan. 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 (January 1, 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. CBUJOS. 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, vol. 10, no. 1, Jan. 2015, pp. 55-61, doi:10.18466/cbufbe.21908.
Vancouver
1.Zeki Kasap. EULER-LAGRANGE EQUATIONS ON THREE-DIMENSIONAL SPACE - ÜÇ BOYUTLU UZAYDA EULER-LAGRANGE DENKLEMLERİ. CBUJOS. 2015 Jan. 1;10(1):55-61. doi:10.18466/cbufbe.21908