期刊
IEEE ACCESS
卷 10, 期 -, 页码 74948-74960出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/ACCESS.2022.3191642
关键词
Oscillators; Mathematical models; Perturbation methods; Resonant frequency; Strain; Databases; Numerical simulation; Impulse perturbations; nonlinear flexible bodies; Ateb-function; oscillations; mathematical model; resonance; amplitude; frequency
资金
- Faculty of Management of Comenius University in Bratislava, Slovakia
The study focuses on the influence of impulse moments on nonlinear torsional oscillations of a homogeneous constant cross-section body, developing mathematical models and identifying resonant and non-resonant processes. The findings confirm the characteristics of resonant oscillations and the significant impact of pulse momentum on the amplitude during primary resonance.
The method of analytical study of the influence of impulse moments on nonlinear torsional oscillations of a homogeneous constant cross-section of a body under classical boundary conditions of the first, second, and third types have been developed. When the flexible material properties meet the body close to the power law of flexibility, mathematical models of the process have been obtained. It is the boundary value problem for an equation of hyperbolic type with a small parameter at the discrete right-hand side. The latter expresses the effect of pulse momentum on the oscillatory process. Under the effect of periodic pulse momentum on a flexible body, resonant and non-resonant processes are possible. Resonant processes occur when the amplitude of natural oscillations approaches a fixed value. The peculiarities of resonant oscillations are established. The amplitude of passing through the primary resonance is significant for larger values of the nonlinearity parameter and, in the case of the action of pulse momentum, closer to the middle of the body. If the initial perturbation amplitude is less than the amplitude at which the resonance occurs in the presence of only internal forces of viscous friction. So, the external periodic impulse moments of resonance processes have occurred. The extreme case confirms the reliability of the results obtained related to the dynamics of the respective objects under the continuous action of autonomous perturbation.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据