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Title: Effect of angular speed variations on the nonlinear vibrations of a rotational spring-mass system
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Abstract:
A rotating spring-mass system is considered using polar coordinates. The system contains a cubic nonlinear spring with damping. The angular velocity harmonically fluctuates about a mean velocity. The dimensionless equations of motion are derived first. The velocity fluctuations resulted in a direct and parametric forcing terms. Approximate analytical solutions are sought using the Method of Multiple Scales, a perturbation technique. ; The primary resonance and the principal parametric resonance cases are investigated. The amplitude and frequency modulation equations are derived for each case. By considering the steady state solutions, the frequency response relations are derived. The bifurcation points are discussed for the problems. It is found that speed fluctuations may have substantial effects on the dynamics of the problem and the fluctuation frequency and amplitude can be adjusted as passive control parameters to maintain the desired responses.
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Zielona Góra: Uniwersytet Zielonogórski
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IJAME, volume 29, number 1 (2024)
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License CC BY-NC-ND 4.0:
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Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Digital Library of Zielona Góra > Repository > Faculties > Faculty of Mechanical Engineering
- Digital Library of Zielona Góra > Repository > Types of work > Articles
- Digital Library of Zielona Góra > Repository > Scientific journals and UZ publishing series > International Journal of Applied Mechanics and Engineering (IJAME) > International Journal of Applied Mechanics and Engineering (IJAME) (2024)
Last modified:
Apr 22, 2024
In our library since:
Apr 22, 2024
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29
All available object's versions:
https://zbc.uz.zgora.pl/publication/88652
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International Journal of Applied Mechanics and Engineering (IJAME)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 29 (2024)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 29, number 1 (2024)
- International Journal of Applied Mechanics and Engineering (IJAME), volume 29, number 1 (2024) - Contents
- Conjugate mixed convection of a micropolar fluid over a vertical hollow circular cylinder
- Rheological and mechanical behavior study of eco-friendly cement mortar made with marble powder
- Chattering analysis of an electro-hydraulic backstepping velocity controller
- Response of stiffness and viscosity on the energy ratios at piezo-visco-thermo-elastic medium
- Entropy generation analysis of mhd micropolar nanofluid flow over a moved and permeable vertical plate
- The detrimental effect of thermal exposure and thermophoresis on mhd flow with combined mass and heat transmission employing permeability
- Pulsatile mhd flow of two immiscible nanofluids through a porous channel with slip effects
- Effect of angular speed variations on the nonlinear vibrations of a rotational spring-mass system
- Performance evaluation of nonlinear viscoelastic materials using finite element method
- Variable thermal conductivity and mass diffusivity effects in a free convective flow of doubly stratified non-darcian porous medium over a vertical plate
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International Journal of Applied Mechanics and Engineering (IJAME), volume 29, number 2 (2024)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 29, number 3 (2024)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 29, number 4 (2024)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 29, number 1 (2024)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 28 (2023)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 27 (2022)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 26 (2021)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 25 (2020)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 24 (2019)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 23 (2018)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 22 (2017)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 21 (2016)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 20 (2015)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 19 (2014)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 18 (2013)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 29 (2024)
| Edition name | Date |
|---|---|
| Effect of angular speed variations on the nonlinear vibrations of a rotational spring-mass system | Apr 22, 2024 |
