| Issue |
MATEC Web Conf.
Volume 329, 2020
International Conference on Modern Trends in Manufacturing Technologies and Equipment: Mechanical Engineering and Materials Science (ICMTMTE 2020)
|
|
|---|---|---|
| Article Number | 03002 | |
| Number of page(s) | 6 | |
| Section | Mechanical Engineering | |
| DOI | https://doi.org/10.1051/matecconf/202032903002 | |
| Published online | 26 November 2020 | |
Oscillations in a nonlinear spring mechanism with one degree of freedom
Moscow Aviation Institute (State National Research University), Moscow, Russia
* Corresponding author: mironova_lub@mail.ru
A new method for studying dynamics in a nonlinear spring- loaded mechanism is described, which consists in describing a spring as an elastic solid rod with conditional density and elastic modulus. When studying vibrations in such a rod, instead of the well-known second-order differential equation, two derived first-order equations are used that relate the acceleration and gradient of speed to the velocity and gradient of the change in the voltage of the particles of a given body. The frequency characteristic of the linear mechanism is given. The behavior of the mechanism in the presence of significant nonlinearity is considered. The self-oscillation parameters are determined that make it possible to estimate the design life.
© The Authors, published by EDP Sciences, 2020
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