Dynamics of a harmonic oscillator perturbed by a non-smooth velocity-dependent damping force

Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
View: 174

This Paper With 18 Page And PDF Format Ready To Download

  • Certificate
  • من نویسنده این مقاله هستم

استخراج به نرم افزارهای پژوهشی:

لینک ثابت به این Paper:

شناسه ملی سند علمی:


تاریخ نمایه سازی: 1 آبان 1400


This paper studies the dynamics of a non-smooth vibrating system of the Filippov type. The main focus is on investigating the stability and bifurcation of a simple harmonic oscillator subjected to a non-smooth velocity-dependent damping force. In this way, we can analyze the effects of damping on the system's vibrations. For this purpose, we will find a parametric region for the existence of generalized Hopf bifurcation, in order to compute a branch of periodic orbits for the system. The tool for our purpose is the theoretical results about generalized Hopf bifurcation for planar Filippov systems. Some numerical simulations as examples are given to illustrate our theoretical results. Our theoretical and numerical findings indicate that the harmonic oscillator can experience different kinds of vibrations, in the presence of a non-smooth damping.


Zahra Monfared

Department of Mathematics & Informatics and Cluster of Excellence STRUCTURES, Heidelberg University, Heidelberg, Germany and Department of Applied Mathematics, Ferdowsi University of Mashhad (FUM), Mashhad, Iran

Zohreh Dadi

Department of Mathematics, Faculty of Basic Sciences, University of Bojnord, Bojnord, Iran

ALi Darijani

Department of Mathematics, Higher Education Complex of Bam, Bam, Iran

Yousef Qasemi Nezhad Raeini

Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran