Application of some stability criteria of stability for the Spring equation

Authors

  • Thair Younis Thanoon Department of Mathematics, College of Computer Science and Mathematics, University of Mosul, Mosul, Iraq
  • Zaynab Hussein Mohanned Department of Mathematics, College of Computer Science and Mathematics, University of Mosul, Mosul, Iraq

Keywords:

Mikhailov criteria, Routh_Hurwitz criteria, Stability, Instability, Change sine, Lotka-Volterra, Prey, Predator

Abstract

This study aimed to investigate the stability of the equation for energy motion of spring using two criteria, namely Routh_Hurwitz and Mikailove, and compare between them. discuss one of the physical applications of the differential equation, which is the issue of the spiral spring and its waning and non-diminishing vibrations. study its stability by imposing certain conditions so that we get a second-order equation and homogeneous.obtianin stability the diminishing vibratory motion of the spring is conserving energy and stability the differential equation Motion for spring as well as the diminishing vibratory motion of the spring is not conserving energy in the first criterion and instability the diminishing vibratory motion of the spring is conserving energy for tow cases in the second

 

 

Author Biographies

Thair Younis Thanoon, Department of Mathematics, College of Computer Science and Mathematics, University of Mosul, Mosul, Iraq

 

 

 

Zaynab Hussein Mohanned, Department of Mathematics, College of Computer Science and Mathematics, University of Mosul, Mosul, Iraq

 

 

Dimensions

Published

2023-04-05

How to Cite

Thair Younis Thanoon, & Zaynab Hussein Mohanned. (2023). Application of some stability criteria of stability for the Spring equation. African Journal of Advanced Pure and Applied Sciences (AJAPAS), 2(2), 13–18. Retrieved from https://aaasjournals.com/index.php/ajapas/article/view/296

Issue

Volume 2, Issue 2, April-June 2023

Section

Articles
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