Open AccessThe mathematical model and assessment of the possibility of implementing the specified movements of a ground-effect vehicle in the vertical plane
Author(s) -
Yu F Vshivkov,
Sergey Krivel
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1847/1/012048
Subject(s) - stability (learning theory) , range (aeronautics) , control theory (sociology) , ground effect (cars) , aerodynamics , position (finance) , mathematical model , computer science , differential equation , simulation , differential (mechanical device) , pid controller , control (management) , control engineering , engineering , mathematics , aerospace engineering , artificial intelligence , economics , mathematical analysis , statistics , finance , machine learning , temperature control
Based on the analysis of the tasks of the initial stages of the ground-effect-vehicle design, this work proposes a complex of mathematical models, united by a single research goal. A simplified, partially linearized multi-parameter mathematical model of the aerodynamic characteristics of a ground-effect vehicle was developed and substantiated. The authors propose a method of pre-assessment of the stability of the ground-effect vehicle and calculation of the range of acceptable positions of the vehicle’s center of mass based on the requirements for the device stability and balancing characteristics. The method of calculating balancing parameters of the ground-effect vehicle layout is based on the definition of a particular solution of the differential equation system of the vertical movement of the ground-effect vehicle using elements of automatic control theory. The solution is formed by automatic regulation of the specified (controllable) parameters through changing the control factors of the differential equation system over time using PID controllers (a virtual “automatic control system”). The required level of control factors allows us to draw a conclusion about the validity of the specified position of the center of mass and the possibility of performing a specified movement of the ground-effect vehicle. The paper provides some modeling results.