Existence of periodic solutions for a mechanical system with piecewise constant forces

Duygu ARUĞASLAN; Nur CENGİZ

Makale detayları

Existence of periodic solutions for a mechanical system with piecewise constant forces

Yazarlar:

Duygu ARUĞASLAN | Nur CENGİZ

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2018 Vol.47 Issue 3, pp.521-538

Belge Tipi:

Makale

Yayın Tarihi:

5/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000451914

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

Özet:

 


In this study, we consider spring-mass systems subjected to piecewise constant forces. We investigate sufficient conditions for the existence of periodic solutions of homogeneous and nonhomogeneous damped spring-mass systems with the help of the Floquet theory. In addition to determining conditions for the existence of periodic solutions, stability analysis is performed for the solutions of the homogeneous system. TheFloquet multipliers are taken into account for the stability analysis [3]. The results are stated in terms of the parameters of the systems. These results are illustrated and supported by simulations for different values of the parameters.

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Makale detayları

Existence of periodic solutions for a mechanical system with piecewise constant forces

Yazarlar: Duygu ARUĞASLAN | Nur CENGİZ

Yayıncı: Hacettepe University

Ana Başlıklar: Matematik

Dergi: Hacettepe Journal of Mathematics and Statistics 2018 Vol.47 Issue 3, pp.521-538

Belge Tipi: Makale

Yayın Tarihi: 5/2018

Belge Dili: İngilizce

Document ID (Org No.): 2000451914

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

Sayı

Yazarlar:

Duygu ARUĞASLAN | Nur CENGİZ

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2018 Vol.47 Issue 3, pp.521-538

Belge Tipi:

Makale

Yayın Tarihi:

5/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000451914

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X