Effectivity of Hypergeometric Function Application in the Numerical Simulation of the Helicopter Rotor Blades Theory

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844 Prenosov
Izvoz citacije: ABNT
BEKRIĆ, Dragoljub ;MITROVIĆ, Časlav ;CVETKOVIĆ, Dragan ;BENGIN, Aleksandar .
Effectivity of Hypergeometric Function Application in the Numerical Simulation of the Helicopter Rotor Blades Theory. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 56, n.1, p. 18-22, october 2017. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/sl/article/effectivity-of-hypergeometric-function-application-in-the-numerical-simulation-of-the-helicopter-rotor-blades-theory/>. Date accessed: 01 dec. 2021. 
doi:http://dx.doi.org/.
Bekrić, D., Mitrović, ., Cvetković, D., & Bengin, A.
(2010).
Effectivity of Hypergeometric Function Application in the Numerical Simulation of the Helicopter Rotor Blades Theory.
Strojniški vestnik - Journal of Mechanical Engineering, 56(1), 18-22.
doi:http://dx.doi.org/
@article{.,
	author = {Dragoljub  Bekrić and Časlav  Mitrović and Dragan  Cvetković and Aleksandar  Bengin},
	title = {Effectivity of Hypergeometric Function Application in the Numerical Simulation of the Helicopter Rotor Blades Theory},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {56},
	number = {1},
	year = {2010},
	keywords = {helicopter rotor aerodynamics; free vortex model; lifting line; numerical simulation; unsteady flow; hypergeometric functions; },
	abstract = {Efficiency and justification of hypergeometric functions application in achieving simple formulas used in numerical simulation of helicopter rotor blades theory are presented in this paper. Basic equations of stream field over helicopter rotor are formulated, their decomposition is made and mean induced velocity harmonics are integrally presented. Theoretical basis of hypergeometric function application in transformation of integral equations of k-bladed rotor average induced velocity into special functions follows. The necessary conditions for transformation hypergeometric functions into special functions are defined. Variants of integral transformation of expressions obtained are presented by a numerical simulation and solutions are found. This approach to cecure the effectivity of hypergeometric function application in helicopter rotor blades theory by numerical simulation provides a synthetic method, which can be used to define helicopter k-bladed main rotor optimal characteristics.},
	issn = {0039-2480},	pages = {18-22},	doi = {},
	url = {https://www.sv-jme.eu/sl/article/effectivity-of-hypergeometric-function-application-in-the-numerical-simulation-of-the-helicopter-rotor-blades-theory/}
}
Bekrić, D.,Mitrović, .,Cvetković, D.,Bengin, A.
2010 October 56. Effectivity of Hypergeometric Function Application in the Numerical Simulation of the Helicopter Rotor Blades Theory. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 56:1
%A Bekrić, Dragoljub 
%A Mitrović, Časlav 
%A Cvetković, Dragan 
%A Bengin, Aleksandar 
%D 2010
%T Effectivity of Hypergeometric Function Application in the Numerical Simulation of the Helicopter Rotor Blades Theory
%B 2010
%9 helicopter rotor aerodynamics; free vortex model; lifting line; numerical simulation; unsteady flow; hypergeometric functions; 
%! Effectivity of Hypergeometric Function Application in the Numerical Simulation of the Helicopter Rotor Blades Theory
%K helicopter rotor aerodynamics; free vortex model; lifting line; numerical simulation; unsteady flow; hypergeometric functions; 
%X Efficiency and justification of hypergeometric functions application in achieving simple formulas used in numerical simulation of helicopter rotor blades theory are presented in this paper. Basic equations of stream field over helicopter rotor are formulated, their decomposition is made and mean induced velocity harmonics are integrally presented. Theoretical basis of hypergeometric function application in transformation of integral equations of k-bladed rotor average induced velocity into special functions follows. The necessary conditions for transformation hypergeometric functions into special functions are defined. Variants of integral transformation of expressions obtained are presented by a numerical simulation and solutions are found. This approach to cecure the effectivity of hypergeometric function application in helicopter rotor blades theory by numerical simulation provides a synthetic method, which can be used to define helicopter k-bladed main rotor optimal characteristics.
%U https://www.sv-jme.eu/sl/article/effectivity-of-hypergeometric-function-application-in-the-numerical-simulation-of-the-helicopter-rotor-blades-theory/
%0 Journal Article
%R 
%& 18
%P 5
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 56
%N 1
%@ 0039-2480
%8 2017-10-24
%7 2017-10-24
Bekrić, Dragoljub, Časlav  Mitrović, Dragan  Cvetković, & Aleksandar  Bengin.
"Effectivity of Hypergeometric Function Application in the Numerical Simulation of the Helicopter Rotor Blades Theory." Strojniški vestnik - Journal of Mechanical Engineering [Online], 56.1 (2010): 18-22. Web.  01 Dec. 2021
TY  - JOUR
AU  - Bekrić, Dragoljub 
AU  - Mitrović, Časlav 
AU  - Cvetković, Dragan 
AU  - Bengin, Aleksandar 
PY  - 2010
TI  - Effectivity of Hypergeometric Function Application in the Numerical Simulation of the Helicopter Rotor Blades Theory
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 
KW  - helicopter rotor aerodynamics; free vortex model; lifting line; numerical simulation; unsteady flow; hypergeometric functions; 
N2  - Efficiency and justification of hypergeometric functions application in achieving simple formulas used in numerical simulation of helicopter rotor blades theory are presented in this paper. Basic equations of stream field over helicopter rotor are formulated, their decomposition is made and mean induced velocity harmonics are integrally presented. Theoretical basis of hypergeometric function application in transformation of integral equations of k-bladed rotor average induced velocity into special functions follows. The necessary conditions for transformation hypergeometric functions into special functions are defined. Variants of integral transformation of expressions obtained are presented by a numerical simulation and solutions are found. This approach to cecure the effectivity of hypergeometric function application in helicopter rotor blades theory by numerical simulation provides a synthetic method, which can be used to define helicopter k-bladed main rotor optimal characteristics.
UR  - https://www.sv-jme.eu/sl/article/effectivity-of-hypergeometric-function-application-in-the-numerical-simulation-of-the-helicopter-rotor-blades-theory/
@article{{}{.},
	author = {Bekrić, D., Mitrović, ., Cvetković, D., Bengin, A.},
	title = {Effectivity of Hypergeometric Function Application in the Numerical Simulation of the Helicopter Rotor Blades Theory},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {56},
	number = {1},
	year = {2010},
	doi = {},
	url = {https://www.sv-jme.eu/sl/article/effectivity-of-hypergeometric-function-application-in-the-numerical-simulation-of-the-helicopter-rotor-blades-theory/}
}
TY  - JOUR
AU  - Bekrić, Dragoljub 
AU  - Mitrović, Časlav 
AU  - Cvetković, Dragan 
AU  - Bengin, Aleksandar 
PY  - 2017/10/24
TI  - Effectivity of Hypergeometric Function Application in the Numerical Simulation of the Helicopter Rotor Blades Theory
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 56, No 1 (2010): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 
KW  - helicopter rotor aerodynamics, free vortex model, lifting line, numerical simulation, unsteady flow, hypergeometric functions, 
N2  - Efficiency and justification of hypergeometric functions application in achieving simple formulas used in numerical simulation of helicopter rotor blades theory are presented in this paper. Basic equations of stream field over helicopter rotor are formulated, their decomposition is made and mean induced velocity harmonics are integrally presented. Theoretical basis of hypergeometric function application in transformation of integral equations of k-bladed rotor average induced velocity into special functions follows. The necessary conditions for transformation hypergeometric functions into special functions are defined. Variants of integral transformation of expressions obtained are presented by a numerical simulation and solutions are found. This approach to cecure the effectivity of hypergeometric function application in helicopter rotor blades theory by numerical simulation provides a synthetic method, which can be used to define helicopter k-bladed main rotor optimal characteristics.
UR  - https://www.sv-jme.eu/sl/article/effectivity-of-hypergeometric-function-application-in-the-numerical-simulation-of-the-helicopter-rotor-blades-theory/
Bekrić, Dragoljub, Mitrović, Časlav, Cvetković, Dragan, AND Bengin, Aleksandar.
"Effectivity of Hypergeometric Function Application in the Numerical Simulation of the Helicopter Rotor Blades Theory" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 56 Number 1 (24 October 2017)

Avtorji

Inštitucije

  • University of Belgrade, Faculty of Mechanical Engineering, Serbia
  • University of Belgrade, Faculty of Mechanical Engineering, Serbia
  • Singidunum University, Faculty of Bussiness Information Science, Serbia
  • University of Belgrade, Faculty of Mechanical Engineering, Serbia

Informacije o papirju

Strojniški vestnik - Journal of Mechanical Engineering 56(2010)1, 18-22

Efficiency and justification of hypergeometric functions application in achieving simple formulas used in numerical simulation of helicopter rotor blades theory are presented in this paper. Basic equations of stream field over helicopter rotor are formulated, their decomposition is made and mean induced velocity harmonics are integrally presented. Theoretical basis of hypergeometric function application in transformation of integral equations of k-bladed rotor average induced velocity into special functions follows. The necessary conditions for transformation hypergeometric functions into special functions are defined. Variants of integral transformation of expressions obtained are presented by a numerical simulation and solutions are found. This approach to cecure the effectivity of hypergeometric function application in helicopter rotor blades theory by numerical simulation provides a synthetic method, which can be used to define helicopter k-bladed main rotor optimal characteristics.

helicopter rotor aerodynamics; free vortex model; lifting line; numerical simulation; unsteady flow; hypergeometric functions;