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首页> 外文期刊>Journal of Mechanical Engineering >Effectivity of Hypergeometric Function Application in the Numerical Simulation of the Helicopter Rotor Blades Theory
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Effectivity of Hypergeometric Function Application in the Numerical Simulation of the Helicopter Rotor Blades Theory

机译：超几何函数的有效性在直升机旋翼理论数值模拟中的应用

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摘要

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.
机译：本文介绍了超几何函数在实现简单公式用于直升机旋翼数值模拟中的有效性和合理性。建立了直升飞机旋翼上流场的基本方程，对其进行分解，并给出了平均感应速度谐波。超几何函数在将k叶片转子平均感应速度积分方程转换为特殊函数中的应用的理论基础如下。定义了将超几何函数转换为特殊函数的必要条件。通过数值模拟给出了获得的表达式的积分变换的变体，并找到了解决方案。通过数值仿真确定超几何函数在直升机旋翼理论中的应用有效性的方法提供了一种综合方法，可用于定义直升机k叶片主旋翼的最佳特性。

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