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 ve İstatistik |

Dergi Bölümü | Matematik |

Yazarlar |

Bibtex | ```
@araştırma makalesi { hujms439928,
journal = {Hacettepe Journal of Mathematics and Statistics},
issn = {1303-5010},
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 - 1303-5010- 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 1303-5010- %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. |