The Aerodynamics Of A Single-Blade Rotor

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Why did we start our investigation? Because of curiosity; The interest

Why did we start our investigation?

Because of curiosity;
The interest to the

super light aircraft;
To evaluate the correspondence of obtained results to the real winged seed flight parameters.
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The Aim of the work To investigate the aerodynamics of single

The Aim of the work

To investigate the aerodynamics of single blade

rotor (SBR);
To construct its (SBR) mathematical model;
To get acquainted with results of scientific researches in this area;
To solve the equation of motion of SBR: to find the angular velocity of autorotation.
To sophisticate the idea of SBR motion.
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We assumed the model of a winged seed aerodynamics and, based

We assumed the model of a winged seed aerodynamics and, based

on it, we decided to create the single blade rotor.
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The previous researches that met this topic had created the different models of SBR

The previous researches that met this topic had created the different

models of SBR
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Gluhareff MEG-1x

Gluhareff MEG-1x

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MEG-1X MEG-1X was created by American engineer Eugene Gluhareff in 1955.

MEG-1X

MEG-1X was created by American engineer Eugene Gluhareff in 1955. The

creator of MEG-1X, following the ancient wisdom “the less, the better”, has coherently thrown out all the excessive details, he did not spare even the blades: only one of them stayed with a jet engine, attached to its end.
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In USSR the pioneer in creation of single bladed helicopter was

In USSR the pioneer in creation of single bladed helicopter was

the student of Kharkov Aviation Institute, Yuri Marinchenko. The original version of helicopter was planned as a backpack weighting 30 kg. He developed this idea during a year and, in 1971 the model was established.
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AliSport Nowadays the only firm, Alisport, creates the full-size aircraft with

AliSport

Nowadays the only firm, Alisport, creates the full-size aircraft with single

blade rotor.
They created the famous one-bladed gliders.
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Mathematical Model

Mathematical Model

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dT=(dL·cosβ*- dD·sinβ*)·cosβ* dQ= - dL·sinβ* - dD·cosβ* dM=dQ· r · cosβ

dT=(dL·cosβ*- dD·sinβ*)·cosβ*

dQ= - dL·sinβ* - dD·cosβ*

dM=dQ· r · cosβ

dL=CL(α) ·

ρ W2·c(r)dr
dD=CD(α) · ρ W2·c(r)dr

W2=U2+ Vz*2

U=ωz2 ·r· cosβ

α=φ(r) - β*

β*=arctan Vz*÷U

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dML = dL·r dMCfb= dFcfb·r·sinβ dFcfb = dmb ·ωz*2·r·cosβ = MB/(R-rh)

dML = dL·r

dMCfb= dFcfb·r·sinβ
dFcfb = dmb ·ωz*2·r·cosβ

= MB/(R-rh)

dMWB= dmb·g·r·cosβ

dMCfRD= dmRD

·ωz*2·r·cosβ
MCFW = 1/2mw·ωz *2·rh2·sin2β

MW= mw·g·rh·cosβ

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