Effectivity of Hypergeometric Function Application in the Numerical Simulation of the Helicopter Rotor Blades Theory
Само за регистроване кориснике
2010
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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....
Кључне речи:
unsteady flow / numerical simulation / lifting line / hypergeometric functions / helicopter rotor aerodynamics / free vortex modelИзвор:
Strojniski Vestnik/Journal of Mechanical Engineering, 2010, 56, 1, 18-22Колекције
Институција/група
Mašinski fakultetTY - JOUR AU - Bekrić, Dragoljub AU - Mitrović, Časlav AU - Cvetković, Dragan AU - Bengin, Aleksandar PY - 2010 UR - https://machinery.mas.bg.ac.rs/handle/123456789/1013 AB - 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. T2 - Strojniski Vestnik/Journal of Mechanical Engineering T1 - Effectivity of Hypergeometric Function Application in the Numerical Simulation of the Helicopter Rotor Blades Theory EP - 22 IS - 1 SP - 18 VL - 56 UR - https://hdl.handle.net/21.15107/rcub_machinery_1013 ER -
@article{ author = "Bekrić, Dragoljub and Mitrović, Časlav and Cvetković, Dragan and Bengin, Aleksandar", year = "2010", 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.", journal = "Strojniski Vestnik/Journal of Mechanical Engineering", title = "Effectivity of Hypergeometric Function Application in the Numerical Simulation of the Helicopter Rotor Blades Theory", pages = "22-18", number = "1", volume = "56", url = "https://hdl.handle.net/21.15107/rcub_machinery_1013" }
Bekrić, D., Mitrović, Č., Cvetković, D.,& Bengin, A.. (2010). Effectivity of Hypergeometric Function Application in the Numerical Simulation of the Helicopter Rotor Blades Theory. in Strojniski Vestnik/Journal of Mechanical Engineering, 56(1), 18-22. https://hdl.handle.net/21.15107/rcub_machinery_1013
Bekrić D, Mitrović Č, Cvetković D, Bengin A. Effectivity of Hypergeometric Function Application in the Numerical Simulation of the Helicopter Rotor Blades Theory. in Strojniski Vestnik/Journal of Mechanical Engineering. 2010;56(1):18-22. https://hdl.handle.net/21.15107/rcub_machinery_1013 .
Bekrić, Dragoljub, Mitrović, Časlav, Cvetković, Dragan, Bengin, Aleksandar, "Effectivity of Hypergeometric Function Application in the Numerical Simulation of the Helicopter Rotor Blades Theory" in Strojniski Vestnik/Journal of Mechanical Engineering, 56, no. 1 (2010):18-22, https://hdl.handle.net/21.15107/rcub_machinery_1013 .