| Title |
Investigation of the influence of excitation force frequency and magnitude on the vibration intensity in a nonlinear dynamic system |
| Authors |
Mariūnas, Mečislovas |
| DOI |
10.5923/j.ajcam.20231302.02 |
| Full Text |
|
| Is Part of |
American Journal of Computational and Applied Mathematics.. Rosemead : Scientific & Academic Publishing. 2023, vol. 14, iss. 2, p. 36-44.. ISSN 2165-8935. eISSN 2165-8943 |
| Keywords [eng] |
method ; one degree ; excitation ; force ; nonlinear ; second ; third ; fourth ; fifth orders of nonlinearity ; resonant ; parametric ; frequencies ; magnitude ; vibration ; spectral density ; space ; frequency band ; dual response |
| Abstract [eng] |
his article presents ways to determine the frequencies of a nonlinear dynamic system with the largest vibration amplitudes. It is shown that in the latter system, a potential frequency space is generated and it is not changing for each frequency and magnitude of the excitation force. Its parameters depend only on the size of the main parameters of the nonlinear dynamic system. The method of the spectral density space of the frequency band was used to study the magnitude of the excitation force and its frequency influence on the maximum vibration amplitudes. It has been determined that if the frequency of the excitation force or its magnitude changes, conditions are created in the system for a jump in the size of the vibration and a change in its frequency spectrum, and the vibration level can increase several tens of times. The dual response of the nonlinear dynamic system to the magnitude of the excitation force has been determined. Some necessary requirements for a dynamic system to work stably and at a minimum level of vibration are clarified. It was determined that there are three types of frequencies in a nonlinear dynamic system: resonance frequencies of systems and subsystems, parametric vibration frequencies and dynamic system vibration frequencies. The difference between resonant frequencies and parametric vibration frequencies is clarified. The possibilities of significantly reducing the level of vibrations in the system without the use of a vibration damper are explained and demonstrated. It is shown that when the degree of nonlinearity of the dynamic system is greater than 2, then the vibration frequencies in the nonlinear dynamic system are identical to the parametric vibration frequencies. The validity of the results and conclusions in the article was verified by numerical calculations. |
| Published |
Rosemead : Scientific & Academic Publishing |
| Type |
Journal article |
| Language |
English |
| Publication date |
2023 |
| CC license |
|
