Abstract
In this study, three degrees of freedom nonlinear air cushion vehicle (ACV) model is introduced to examine the dynamic behavior of the heave and pitch responses in addition to the cushion pressure of the ACV in both time and frequency domains. The model is based on the compressible flow Bernoulli's equation and the thermodynamics nonlinear isentropic relations along with the Newton’s second law of translation and rotation. In this study, the dynamical investigation was based on numerical simulation using the stiff ODE solvers of the Matlab software. The chaotic investigations of the proposed model is provided using the Fast Fourier Transform (FFT), the Poincaré maps, and the regression analysis. Three control design parameters are investigated for the chaotic studies. These parameters are: ACV mass (M), the mass flowrate entering the cushion volume (m ̇_in), and the ACV base radius (r). Chaos behavior was observed for heave, and pitch responses as well as the cushion pressure.
Highlights
Air Cushion Vehicles (ACV) are mainly operated by highly pressurized air which is fed to the air cushion using blowers
A highly nonlinear model for the dynamic behavior of the heave and pitch motions of air cushion vehicle (ACV) is considered in this study
The dynamic behavior of the ACV is numerically studied using the ode stiff solvers provided in the Matlab software
Summary
Air Cushion Vehicles (ACV) are mainly operated by highly pressurized air which is fed to the air cushion using blowers. The flow of air is maintained due to a momentum change at the high-velocity peripheral air curtain. These blowers yield a large volume of air cushion that has a pressure, a little higher than the atmospheric pressure creating a pressure difference. This pressure difference produces vehicle lift, which causes the bottom air cushion to float above the running surface. The hydrodynamic action of the ACV is ideally equivalent to that of a pressure distribution acting on the free surface of water. The rest of this section is a summary of the related study that are available in the literature
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