Fractional-Order Gas Film Model

• Published in: Fractal and fractional Vol. 6; no. 10; p. 561
• Main Authors: Tang, Xu, Luo, Ying, Han, Bin
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 01.10.2022
• Subjects: Accuracy; Dynamic characteristics; dynamic characteristics of the air bearing; Equivalence; Finite element analysis; Finite volume method; fractional-order model; Gas bearings; gas film model; Gas flow; Gas lubrication; Genetic algorithms; Model accuracy; Modelling; Parameter identification; Partial differential equations; Particle swarm optimization; Pressure distribution; Viscoelasticity
• ISSN: 2504-3110; 2504-3110
• DOI: 10.3390/fractalfract6100561

In this paper, a fractional-order model of the gas film is proposed for the dynamic characteristics of an air bearing. Based on the dynamic characteristics common between gas film and viscoelastic body, the idea of the fractional-order equivalent modeling of the dynamic characteristics of the gas film is presented to improve the modeling accuracy. Four fractional-order gas film (FOGF) models are introduced based on generalization of traditional viscoelastic models. The analysis of the characteristics of the FOGF models shows that the FOGF model can capture more complex dynamic characteristics and fit the real dynamic data of the gas film better than traditional models. A genetic algorithm particle swarm optimization (GA-PSO) method is used for parameter identification of the proposed models. The experimental results tested on the air bearing motion platform show that the FOGF models are superior in accuracy to the traditional equivalent models for the gas film. In particular, the fractional-order Maxwell gas film (FOMGF) model has the best capture accuracy compared to the other FOGF models and traditional models.