Yıl 2018, Cilt 47, Sayı 3, Sayfalar 521 - 538 2018-06-01

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

Duygu Aruğaslan [1] , Nur Cengiz [2]

34 41

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. The
Floquet 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.

Generalized piecewise constant forces, spring-mass system, stability and periodic solutions
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Birincil Dil en
Konular Matematik
Dergi Bölümü Matematik
Yazarlar

Yazar: Duygu Aruğaslan (Sorumlu Yazar)

Yazar: Nur Cengiz

Bibtex @araştırma makalesi { hujms439928, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {Hacettepe Üniversitesi}, year = {2018}, volume = {47}, pages = {521 - 538}, doi = {}, title = {Existence of periodic solutions for a mechanical system with piecewise constant forces}, key = {cite}, author = {Cengiz, Nur and Aruğaslan, Duygu} }
APA Aruğaslan, D , Cengiz, N . (2018). Existence of periodic solutions for a mechanical system with piecewise constant forces. Hacettepe Journal of Mathematics and Statistics, 47 (3), 521-538. Retrieved from http://dergipark.gov.tr/hujms/issue/38121/439928
MLA Aruğaslan, D , Cengiz, N . "Existence of periodic solutions for a mechanical system with piecewise constant forces". Hacettepe Journal of Mathematics and Statistics 47 (2018): 521-538 <http://dergipark.gov.tr/hujms/issue/38121/439928>
Chicago Aruğaslan, D , Cengiz, N . "Existence of periodic solutions for a mechanical system with piecewise constant forces". Hacettepe Journal of Mathematics and Statistics 47 (2018): 521-538
RIS TY - JOUR T1 - Existence of periodic solutions for a mechanical system with piecewise constant forces AU - Duygu Aruğaslan , Nur Cengiz Y1 - 2018 PY - 2018 N1 - DO - T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 521 EP - 538 VL - 47 IS - 3 SN - 2651-477X-2651-477X M3 - UR - Y2 - 2017 ER -
EndNote %0 Hacettepe Journal of Mathematics and Statistics Existence of periodic solutions for a mechanical system with piecewise constant forces %A Duygu Aruğaslan , Nur Cengiz %T Existence of periodic solutions for a mechanical system with piecewise constant forces %D 2018 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 47 %N 3 %R %U
ISNAD Aruğaslan, Duygu , Cengiz, Nur . "Existence of periodic solutions for a mechanical system with piecewise constant forces". Hacettepe Journal of Mathematics and Statistics 47 / 3 (Haziran 2018): 521-538.