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Lie-Group Modeling and Numerical Simulation of a Helicopter
- Source :
- Mathematics, Volume 9, Issue 21, Mathematics, Vol 9, Iss 2682, p 2682 (2021)
- Publication Year :
- 2021
- Publisher :
- Multidisciplinary Digital Publishing Institute, 2021.
-
Abstract
- Helicopters are extraordinarily complex mechanisms. Such complexity makes it difficult to model, simulate and pilot a helicopter. The present paper proposes a mathematical model of a fantail helicopter type based on Lie-group theory. The present paper first recalls the Lagrange–d’Alembert–Pontryagin principle to describe the dynamics of a multi-part object, and subsequently applies such principle to describe the motion of a helicopter in space. A good part of the paper is devoted to the numerical simulation of the motion of a helicopter, which was obtained through a dedicated numerical method. Numerical simulation was based on a series of values for the many parameters involved in the mathematical model carefully inferred from the available technical literature.
- Subjects :
- Computer simulation
Series (mathematics)
Computer science
General Mathematics
Numerical analysis
Motion (geometry)
Lie group
Control engineering
ComputerApplications_COMPUTERSINOTHERSYSTEMS
Type (model theory)
Space (mathematics)
Object (computer science)
helicopter model
Computer Science::Robotics
non-conservative dynamical system
Computer Science (miscellaneous)
QA1-939
Lagrange–d’Alembert principle
Engineering (miscellaneous)
Euler–Poincaré equation
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Database :
- OpenAIRE
- Journal :
- Mathematics
- Accession number :
- edsair.doi.dedup.....b831b3ceee96394900cb005efdbc3a79
- Full Text :
- https://doi.org/10.3390/math9212682