Stability and Phase Portraits for Simple Dynamical Systems
In structural dynamics models of mechanical oscillator and vibration analysis are of great importance. In this article motion of mechanical oscillator is modelled using second order linear autonomous differential systems. Stability of such 1 DOF models is investigated with respect to the coefficient...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2018-12-01
|
| Series: | Civil and Environmental Engineering |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/cee-2018-0020 |
| _version_ | 1811330160268410880 |
|---|---|
| author | Kúdelčíková Mária Merčiaková Eva |
| author_facet | Kúdelčíková Mária Merčiaková Eva |
| author_sort | Kúdelčíková Mária |
| collection | DOAJ |
| description | In structural dynamics models of mechanical oscillator and vibration analysis are of great importance. In this article motion of mechanical oscillator is modelled using second order linear autonomous differential systems. Stability of such 1 DOF models is investigated with respect to the coefficients of systems. Phase portraits for various cases are displayed and the character of fixed points is described. |
| first_indexed | 2024-04-13T15:57:27Z |
| format | Article |
| id | doaj.art-8568fe5c5c0b48b5849479f102b03852 |
| institution | Directory Open Access Journal |
| issn | 1336-5835 2199-6512 |
| language | English |
| last_indexed | 2024-04-13T15:57:27Z |
| publishDate | 2018-12-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Civil and Environmental Engineering |
| spelling | doaj.art-8568fe5c5c0b48b5849479f102b038522022-12-22T02:40:39ZengSciendoCivil and Environmental Engineering1336-58352199-65122018-12-0114215315810.2478/cee-2018-0020cee-2018-0020Stability and Phase Portraits for Simple Dynamical SystemsKúdelčíková Mária0Merčiaková Eva1Department of Structural Mechanics and Applied Mathematics, Faculty of Civil Engineering, University of Žilina, Univerzitná 8215/1, 010 26Žilina, Slovakia.Department of Structural Mechanics and Applied Mathematics, Faculty of Civil Engineering, University of Žilina, Univerzitná 8215/1, 010 26Žilina, Slovakia.In structural dynamics models of mechanical oscillator and vibration analysis are of great importance. In this article motion of mechanical oscillator is modelled using second order linear autonomous differential systems. Stability of such 1 DOF models is investigated with respect to the coefficients of systems. Phase portraits for various cases are displayed and the character of fixed points is described.https://doi.org/10.2478/cee-2018-0020dynamical systemstructural dynamicsstabilityeigenvaluesphase portrait |
| spellingShingle | Kúdelčíková Mária Merčiaková Eva Stability and Phase Portraits for Simple Dynamical Systems Civil and Environmental Engineering dynamical system structural dynamics stability eigenvalues phase portrait |
| title | Stability and Phase Portraits for Simple Dynamical Systems |
| title_full | Stability and Phase Portraits for Simple Dynamical Systems |
| title_fullStr | Stability and Phase Portraits for Simple Dynamical Systems |
| title_full_unstemmed | Stability and Phase Portraits for Simple Dynamical Systems |
| title_short | Stability and Phase Portraits for Simple Dynamical Systems |
| title_sort | stability and phase portraits for simple dynamical systems |
| topic | dynamical system structural dynamics stability eigenvalues phase portrait |
| url | https://doi.org/10.2478/cee-2018-0020 |
| work_keys_str_mv | AT kudelcikovamaria stabilityandphaseportraitsforsimpledynamicalsystems AT merciakovaeva stabilityandphaseportraitsforsimpledynamicalsystems |