Vibrations of the nonlinear system in which stationary harmonic excited multivalued regimes in the vicinities of resonances do not exist
A nonlinear dynamical system is investigated which consists from a mass between two linear elastic connecting elements with different coefficients of stiffness. Laws of vibrations and characteristics of eigenvibrations of the system as well as of self-decaying vibrations of the system with damping a...
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JVE International
2019-09-01
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| Series: | Mathematical Models in Engineering |
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| Online Access: | https://www.jvejournals.com/article/20942 |
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doaj-ce119afccf0a417fb15b5749955e54432020-11-24T21:52:59ZengJVE InternationalMathematical Models in Engineering2351-52792424-46272019-09-01539710410.21595/mme.2019.2094220942Vibrations of the nonlinear system in which stationary harmonic excited multivalued regimes in the vicinities of resonances do not existK. Ragulskis0L. Ragulskis1Kaunas University of Technology, K. Donelaičio Str. 73, LT-44249, Kaunas, LithuaniaVytautas Magnus University, Vileikos Str. 8, LT-44404, Kaunas, LithuaniaA nonlinear dynamical system is investigated which consists from a mass between two linear elastic connecting elements with different coefficients of stiffness. Laws of vibrations and characteristics of eigenvibrations of the system as well as of self-decaying vibrations of the system with damping and of the system with harmonic excitation are determined. Dynamical qualities of the system are revealed. It is shown that the system has infinite number of eigenfrequencies and that in the resonance zones multivalued stable and unstable motions do not exist in the system.https://www.jvejournals.com/article/20942nonlinear systemcoefficients of stiffnessamplitude-frequency characteristicsdynamical qualities |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
K. Ragulskis L. Ragulskis |
| spellingShingle |
K. Ragulskis L. Ragulskis Vibrations of the nonlinear system in which stationary harmonic excited multivalued regimes in the vicinities of resonances do not exist Mathematical Models in Engineering nonlinear system coefficients of stiffness amplitude-frequency characteristics dynamical qualities |
| author_facet |
K. Ragulskis L. Ragulskis |
| author_sort |
K. Ragulskis |
| title |
Vibrations of the nonlinear system in which stationary harmonic excited multivalued regimes in the vicinities of resonances do not exist |
| title_short |
Vibrations of the nonlinear system in which stationary harmonic excited multivalued regimes in the vicinities of resonances do not exist |
| title_full |
Vibrations of the nonlinear system in which stationary harmonic excited multivalued regimes in the vicinities of resonances do not exist |
| title_fullStr |
Vibrations of the nonlinear system in which stationary harmonic excited multivalued regimes in the vicinities of resonances do not exist |
| title_full_unstemmed |
Vibrations of the nonlinear system in which stationary harmonic excited multivalued regimes in the vicinities of resonances do not exist |
| title_sort |
vibrations of the nonlinear system in which stationary harmonic excited multivalued regimes in the vicinities of resonances do not exist |
| publisher |
JVE International |
| series |
Mathematical Models in Engineering |
| issn |
2351-5279 2424-4627 |
| publishDate |
2019-09-01 |
| description |
A nonlinear dynamical system is investigated which consists from a mass between two linear elastic connecting elements with different coefficients of stiffness. Laws of vibrations and characteristics of eigenvibrations of the system as well as of self-decaying vibrations of the system with damping and of the system with harmonic excitation are determined. Dynamical qualities of the system are revealed. It is shown that the system has infinite number of eigenfrequencies and that in the resonance zones multivalued stable and unstable motions do not exist in the system. |
| topic |
nonlinear system coefficients of stiffness amplitude-frequency characteristics dynamical qualities |
| url |
https://www.jvejournals.com/article/20942 |
| work_keys_str_mv |
AT kragulskis vibrationsofthenonlinearsysteminwhichstationaryharmonicexcitedmultivaluedregimesinthevicinitiesofresonancesdonotexist AT lragulskis vibrationsofthenonlinearsysteminwhichstationaryharmonicexcitedmultivaluedregimesinthevicinitiesofresonancesdonotexist |
| _version_ |
1725873583772663808 |