- Magnetic Bearings and Levitation Dynamics
- Vibration and Dynamic Analysis
- Nanofluid Flow and Heat Transfer
- Structural Health Monitoring Techniques
- Fractional Differential Equations Solutions
- Model Reduction and Neural Networks
Lanzhou Jiaotong University
2023-2024
This paper focuses on the vibration periodic property of Duffing oscillator with generalized initial conditions. Firstly, undamped case is solved by Ji-Huan He’s frequency formulation; Secondly, formulation extended to damped case. Numerical verification shows that mathematically simple and physically insightful practically applicable. paves a novel way for engineers use study nonlinear system ease reliability.
The stability and Hopf bifurcation of a class flywheel governor systems subject to stochastic excitation under time-delay feedback are studied. model is simplified using center manifold reduction obtain paradigm for two-dimensional central subsystem. system converges asymptotically an It[Formula: see text] differential equation based on polar transformations averaging method. the analyzed by applying maximum Lyapunov exponent singular boundary theory, its probability density function...