Analiza jednadžbe gibanja zrakoplova za različite režime leta

undergraduate thesis

• Title (english): Analysis of Equation of Motion for Various Flight Regimes
• Author: David Fujs
• Mentor: Davor Franjković (mentor)
• Committee member: Anita Domitrović (predsjednik povjerenstva)
• Committee member: Karolina Krajček Nikolić (član povjerenstva)
• Committee member: Željko Marušić (član povjerenstva)
• Granter: University of Zagreb; Faculty of Transport and Traffic Sciences; (Division of Aeronautics); (Department of Aeronautics); Zagreb
• Defense date and country: 2015-09-01, Croatia
• Scientific / art field, discipline and subdiscipline: TECHNICAL SCIENCES; Traffic and Transport Technology; Air Traffic

Abstract

Gibanje zrakoplova može se promatrati u više koordinatnih sustava. Iz lokalnog koordinatnog sustava, koji je vezan za Zemlju, pomoću matričnih transformacija prelazi se u ostale koordinatne sustave. Primjenom drugog Newtonovog zakona na gibanje zrakoplova, izvode se jednadžbe gibanja zrakoplova za šest stupnjeva slobode gibanja, koje se dijele na jednadžbe translacijskog i rotacijskog gibanja. Iako zrakoplov nastoji ostati u ravnotežnom položaju, na njega utječu male sile poremećaja, koje dodatno otežavaju izračun. Komponente gibanja, s obzirom na ravninu u kojoj djeluju, opisuju longitudinalno i laterelno gibanje. Također, nakon zapisivanja jednadžbi u linearnom obliku i proširivanjem pomoću Taylorovih redova, moguće je promatrati gibanje za specifične slučajeve. U jednolikim režimima leta, gibanje zrakoplova je idealizirano, a jednadžbe koje opisuju takve režime, iako pojednostavljene, imaju bolju primjenu od općenitih izraza. Alternativni zapisi jednadžbi gibanja su jednadžbe stanja i izlaza. Izražavanjem linearnih sustava u frekvencijskoj domeni, moguće je dobiti funkciju prijenosa.

Abstract (english)

Motion of an aircraft can be examined in several coordinate systems. Using transformation matrices, it is possible to transfer from Earth-fixed coordinate system

into other ones. By application of Newton's second law, equations of motion of an aircraft for its six degrees of freedom, which are divided into the equations of translational and rotational motion, are derived. An aircraft strives to remain in equilibrium, although small perturbation forces act on it, which additionally complicate the calculation. Components of motion, considering the plane in which they act, describe longitudinal and lateral motion. Also, after linearization of equations and expansion of terms using Taylor series, it is possible to examine motion for specific cases. Motion of an aircraft is idealized in steady maneuvering flight conditions and equations which describe those conditions, although simplified, are of greater practical use than general expressions. Alternative forms of equations of motions are state and output equation. By expressing linear systems in the frequency domain, it is possible to obtain transfer function.

• Keywords: koordinatni sustavi; jednadžbe gibanja zrakoplova; komponente rotacijskog i translacijskog gibanja; derivativi stabilnosti
• Keywords (english): coordinate systems; equations of motion of aircraft; rotational and translational components of motion; stability derivatives
• Language: croatian
• URN:NBN: urn:nbn:hr:119:145417
• Study programme: Title: Aeronautics; Study programme type: university; Study level: undergraduate; Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka aeronautike (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka aeronautike)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2015-09-16 12:43:25