Quick and accurate determination of the optimal synchrophase angle is crucial for synchrophasing control of multi-propeller aircraft with low noise.This paper proposes a novel noise prediction and optimization strateg...Quick and accurate determination of the optimal synchrophase angle is crucial for synchrophasing control of multi-propeller aircraft with low noise.This paper proposes a novel noise prediction and optimization strategy,developing a continuous and accurate noise prediction model and obtaining its minimum by solving the Hessian matrix and Fourier-Frobenius matrix.Firstly,a novel propeller noise prediction method uses acoustic simulation pressure signals and improved propeller signatures theory to accurately estimate noise for all synchrophase angles and receiving points.Secondly,a novel optimization approach is proposed to solve the analytical solution of the minimum propeller noise:(A)A noise objective function is established,and use its first derivatives’zeros and Hessian matrix to determine the function minimum.(B)A novel Euler formula transform method is proposed to convert trigonometric polynomials into algebraic polynomials,changing the zeros of the former into those of the latter.(C)Utilize the Fourier-Frobenius matrix method to solve the zeros of algebraic polynomials.To assess the computation time and accuracy,a turboprop aircraft with two six-bladed propellers was analyzed using the computational fluid dynamics and acoustic analogy method,providing acoustic pressure signals at 20 receivers for noise prediction and optimization.The Durand-Kerner and Fourier-Frobenius matrix methods were compared.Results demonstrate that improved propeller signatures theory is more accurate,and the Hessian matrix+Fourier-Frobenius matrix method is faster and more precise than the Hessian matrix+Durand-Kerner method.展开更多
某型电动飞机采用稀土永磁电动机作为动力装置,采用螺旋桨产生拉力。为了提高电动飞机的航时,螺旋桨的设计目标应为:具有较高的效率,足够的拉力,并且保证螺旋桨需用功率与电动机功率相匹配。设计了某型电动飞机的固定桨距螺旋桨,建立了...某型电动飞机采用稀土永磁电动机作为动力装置,采用螺旋桨产生拉力。为了提高电动飞机的航时,螺旋桨的设计目标应为:具有较高的效率,足够的拉力,并且保证螺旋桨需用功率与电动机功率相匹配。设计了某型电动飞机的固定桨距螺旋桨,建立了螺旋桨的三维CATIA模型,制造了两叶的木质螺旋桨,进行了螺旋桨的地面试验和风洞试验。试验结果表明:该型螺旋桨在起飞状态(螺旋桨转速2 164 r/min),静态拉力达到98.2 kg,电动机轴功率为35.09 k W,电池输出功率37.08 k W;巡航状态,螺旋桨效率达86.76%,设计的螺旋桨达到了预期的设计目标。展开更多
基金supported by the National Natural Science Foundation of China(Nos.51576097,51976089)the Funding for Outstanding Doctoral Dissertation in Nanjing University of Aeronautics and Astronautics,China(No.BCXJ24-05)the Aeronautical Science Foundation of China(No.2023L060052001).
文摘Quick and accurate determination of the optimal synchrophase angle is crucial for synchrophasing control of multi-propeller aircraft with low noise.This paper proposes a novel noise prediction and optimization strategy,developing a continuous and accurate noise prediction model and obtaining its minimum by solving the Hessian matrix and Fourier-Frobenius matrix.Firstly,a novel propeller noise prediction method uses acoustic simulation pressure signals and improved propeller signatures theory to accurately estimate noise for all synchrophase angles and receiving points.Secondly,a novel optimization approach is proposed to solve the analytical solution of the minimum propeller noise:(A)A noise objective function is established,and use its first derivatives’zeros and Hessian matrix to determine the function minimum.(B)A novel Euler formula transform method is proposed to convert trigonometric polynomials into algebraic polynomials,changing the zeros of the former into those of the latter.(C)Utilize the Fourier-Frobenius matrix method to solve the zeros of algebraic polynomials.To assess the computation time and accuracy,a turboprop aircraft with two six-bladed propellers was analyzed using the computational fluid dynamics and acoustic analogy method,providing acoustic pressure signals at 20 receivers for noise prediction and optimization.The Durand-Kerner and Fourier-Frobenius matrix methods were compared.Results demonstrate that improved propeller signatures theory is more accurate,and the Hessian matrix+Fourier-Frobenius matrix method is faster and more precise than the Hessian matrix+Durand-Kerner method.
文摘某型电动飞机采用稀土永磁电动机作为动力装置,采用螺旋桨产生拉力。为了提高电动飞机的航时,螺旋桨的设计目标应为:具有较高的效率,足够的拉力,并且保证螺旋桨需用功率与电动机功率相匹配。设计了某型电动飞机的固定桨距螺旋桨,建立了螺旋桨的三维CATIA模型,制造了两叶的木质螺旋桨,进行了螺旋桨的地面试验和风洞试验。试验结果表明:该型螺旋桨在起飞状态(螺旋桨转速2 164 r/min),静态拉力达到98.2 kg,电动机轴功率为35.09 k W,电池输出功率37.08 k W;巡航状态,螺旋桨效率达86.76%,设计的螺旋桨达到了预期的设计目标。
