Fractional Order Simple Chaotic Oscillator with Saturable Reactors and Its Engineering Applications

Rajagopal, Karthikeyan; Jafari, Sajad; Kaçar, Sezgin; Karthikeyan, Anitha; Akgül, Akif

doi:10.5755/j01.itc.48.1.19641

Cited by 3 publications

References 43 publications

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Exploring nonlinearity in quarter car models with an experimental approach to formulating fractional order form and its dynamic analysis

Molla,

Duraisamy,

Rajagopal

et al. 2024

Sci Rep

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This study explores the inherent nonlinearity of quarter car models by employing an experimental and numerical approach. The dynamics of vehicular suspension systems are pivotal for ensuring passenger comfort, vehicle stability, and overall ride quality. In this paper we assessed the impact of various parameters and components on suspension performance, enabled the optimization of ride comfort, stability, and handling characteristics. Firstly, experimental analysis allowed for the investigation of factors that are challenging to model theoretically, such as stiffness nonlinearity and damping characteristics, which may vary under different operating conditions. Time domain and frequency response diagram of the model has been obtained. Secondly, a quarter-car with single degree-of-freedom presented and investigated in fractional order form. Fractional order dynamics emphasize nonlinearities in quarter car models, capturing real-world dynamics effectively. The proposed fractional-order nonlinear quarter car model employed Caputo derivative. For numerical analysis of fractional order system, the Adam–Bashforth–Moulton method is used and the disturbance of road assumed to be stochastic. Results show that the dynamic response of the vehicle can be chaotic. Influence of road roughness amplitude and frequency on vehicle vibration is investigated.

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Exploring nonlinearity in quarter car models with an experimental approach to formulating fractional order form and its dynamic analysis

Molla,

Duraisamy,

Rajagopal

et al. 2024

Sci Rep

View full text Add to dashboard Cite

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Fractional Order Bifurcation and Chaos of Aeroelastic Aerofoil System with Multiple Stiffness Nonlinearities

Degefaa,

Ramakrishnan,

Admassu

et al. 2024

Preprint

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Acoustic Multi-Parameter Early Warning Method for Transformer DC Bias State

Zhou

Wang

2022

Sensors

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The acoustic signal in the operation of a power transformer contains a lot of transformer operation state information, which is of great significance to the detection of DC bias state. In this paper, three typical parameters used for DC bias state detection are selected by comparing the acoustic variation of a 500 kV Jingting transformer substation No. 2 transformer with that of the core model built in the laboratory; then, acoustic samples of the 162 EHV normal state transformers are collected, and the distribution regularity of three typical parameters in normal state is given. Finally, according to the distribution regularity, clear warning threshold of typical parameters are given, and the DC bias cases from the 500 kV Jingting transformer substation are used to verify the effectiveness of the threshold.

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Fractional Order Simple Chaotic Oscillator with Saturable Reactors and Its Engineering Applications

Cited by 3 publications

References 43 publications

Exploring nonlinearity in quarter car models with an experimental approach to formulating fractional order form and its dynamic analysis

Exploring nonlinearity in quarter car models with an experimental approach to formulating fractional order form and its dynamic analysis

Fractional Order Bifurcation and Chaos of Aeroelastic Aerofoil System with Multiple Stiffness Nonlinearities

Acoustic Multi-Parameter Early Warning Method for Transformer DC Bias State

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