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• W3128773896 endingPage "104229" @default.
• W3128773896 startingPage "104229" @default.
• W3128773896 abstract "This study aims to analyze the chaotic dynamics and present a chaos controller for spur gear transmission systems with idler. The chaotic dynamics of the spur gear mechanism has already been investigated. However, the presence of idler gears affects the chaotic behavior and the route to chaos for the nonlinear model of spur gears. This is investigated through the derivation of dimensionless dynamics, defining a Poincare’ section, and extracting the bifurcation diagrams of the system for variations of several parameter models. A nonlinear time-varying dynamic model of a spur gear transmission system with idler is established where backlash, time-varying stiffness, static transmission error, and external excitation are included and a region for the occurrence of chaos is found. The chaotic vibration suppression of the system is done by detecting the unstable periodic orbits embedded in the strange attractors and developing control law by employing sliding mode and adaptive sliding mode control strategy. The controller transmits a chaotic trajectory into the detected unstable periodic orbits. Numerical simulations including phase plane portrait, time histories diagrams, Poincare’ sections, and bifurcation diagrams demonstrate the behavior of the system and confirm the performance of the proposed controller." @default.
• W3128773896 created "2021-02-15" @default.
• W3128773896 creator A5020933078 @default.
• W3128773896 creator A5039839208 @default.
• W3128773896 date "2021-05-01" @default.
• W3128773896 modified "2023-10-11" @default.
• W3128773896 title "Dynamic analysis and chaos control of spur gear transmission system with idler" @default.
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• W3128773896 doi "https://doi.org/10.1016/j.euromechsol.2021.104229" @default.
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