Lie-Group Modeling and Numerical Simulation of a Helicopter

Alessandro Tarsi and Simone Fiori
Additional contact information
Alessandro Tarsi: School of Automation Engineering, Alma Mater Studiorum—Università di Bologna, Viale del Risorgimento 2, I-40136 Bologna, Italy
Simone Fiori: Department of Information Engineering, Marches Polytechnic University, Brecce Bianche Rd., I-60131 Ancona, Italy

Mathematics, 2021, vol. 9, issue 21, 1-34

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.

Keywords: Lagrange–d’Alembert principle; non-conservative dynamical system; Euler–Poincaré equation; helicopter model; Lie group (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/9/21/2682/pdf (application/pdf)
https://www.mdpi.com/2227-7390/9/21/2682/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:9:y:2021:i:21:p:2682-:d:662394

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().