抬升角对食蚜蝇飞行动稳定性的影响

许娜; 周帅至; 牟晓蕾

doi:10.13700/j.bh.1001-5965.2020.0719

抬升角对食蚜蝇飞行动稳定性的影响

doi: 10.13700/j.bh.1001-5965.2020.0719

1.
烟台大学机电汽车工程学院, 烟台 264005
2.
烟台大学土木工程学院, 烟台 264005

基金项目:

国家自然科学基金 11802262

国家自然科学基金 11502228

详细信息

通讯作者:
牟晓蕾. E-mail: xiaoleimou@126.com

中图分类号: V211.3
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- 被引次数: 0
出版历程
- 收稿日期: 2020-12-28
- 录用日期: 2021-01-30
- 网络出版日期: 2021-07-20

Effects of stroke deviation on flight stability of true hoverfly

1.
School of Electromechanical and Automotive Engineering, Yantai University, Yantai 264005, China
2.
School of Civil Engineering, Yantai University, Yantai 264005, China

Funds:

National Natural Science Foundation of China 11802262

National Natural Science Foundation of China 11502228

More Information

Corresponding author: MOU Xiaolei. E-mail: xiaoleimou@126.com

摘要

摘要:
抬升角的存在对昆虫飞行时的气动力会产生不同程度的影响，其对昆虫飞行动稳定性的影响也非常值得探索。首先，求解Navier-Stokes方程得到了有抬升角时食蚜蝇的纵向与横向稳定性导数；然后，用特征模态分析法研究其动稳定性。结果表明：有抬升角时，在侧向来流作用下食蚜蝇的滚转力矩对应的导数比无抬升角时明显减小，而其余导数无明显变化，导数减小是由于抬升角的存在使得有侧向来流时因左右翅举力不同产生的正向滚转力矩数值明显减小，而由侧向力产生的负向滚转力矩数值略有增大，从而使得其总的负向滚转力矩数值增大；但有侧向来流时滚转力矩所对应导数的减小并未引起食蚜蝇飞行动稳定性的改变，其纵向和横向的特征模态仍与无抬升角时相同。
- 抬升角 /
- 食蚜蝇 /
- 飞行动稳定性 /
- Navier-Stokes方程 /
- 运动模态
Abstract:
The aerodynamic performance of insect can be affected by wing stroke deviation, which may also influence the flight stability. The longitudinal and lateral non-dimensional stability derivatives of hoverfly with stroke deviation are obtained by solving Navier-Stokes equation, and then the natural modes of motion analysis method is used to analyze the flight stability. The results show that, when stroke deviation exists, the stability derivative of the rolling moment induced by the side motion velocity decreases significantly, while the other derivatives have little difference by comparing the situation with no stroke deviation. The reason why the existence of stroke deviation causes the decrease of the derivative is that the positive rolling moment of the left and right wings declines obviously under lateral wind circumstance, while the negative rolling moment caused by the lateral force increases slightly, which makes the total negative rolling moment increase. However, the decrease of the derivative of the rolling moment caused by the lateral flow does not alter the flight stability of hoverfly, and the longitudinal and lateral characteristic modes of motion are still the same as those without stroke deviation.
- stroke deviation /
- true hoverfly /
- flight stability /
- Navier-Stokes equation /
- natural mode of motion

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图 1 食蚜蝇的身体坐标系和地面上的固定坐标系及各变量示意图

Figure 1. Schematic diagram of true hoverfly body coordinate system and fixed ground coordinate system with variables

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图 2 食蚜蝇翅膀网格的展向和弦向剖面

Figure 2. True hoverfly wing planform and portion of computational grid

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图 3 拍动翅的运动学参数定义

Figure 3. Definition of kinematic parameters of flapping wing

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图 4 纵向u⁺、w⁺和q⁺系列气动力和力矩系数

Figure 4. Longitudinal u⁺, w⁺ and q⁺ series aerodynamic force and moment coefficients

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图 5 横向v⁺、p⁺和r⁺系列气动力和力矩系数

Figure 5. Lateral v⁺, p⁺ and r⁺ series aerodynamic force and moment coefficients

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表 1 纵向无量纲稳定性导数

Table 1. Longitudinal non-dimensional stability derivatives

有/无抬升角	X_u⁺	Z_u⁺	M_u⁺	X_w⁺	Z_w⁺	M_w⁺	X_q⁺	Z_q⁺	M_q⁺
无抬升角	-1.998	-0.087	2.378	0.146	-1.777	0.475	-0.206	-0.220	-0.128
有抬升角	-1.519	-0.136	2.449	0.112	-1.829	0.630	-0.155	-0.188	-0.174

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表 2 横向无量纲稳定性导数

Table 2. Lateral non-dimensional stability derivatives

有/无抬升角	Y_v⁺	L_v⁺	N_v⁺	Y_p⁺	L_p⁺	N_p⁺	Y_r⁺	L_r⁺	N_r⁺
无抬升角	-0.700	-0.530	0.473	-0.341	-3.727	0.249	0.066	0.805	-3.156
有抬升角	-0.759	-1.100	0.303	-0.495	-3.891	0.204	0.066	0.768	-3.155

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表 3 v⁺=0.15时有无抬升角2种情形下左右两翅的侧向力系数、举力系数和滚转力矩系数

Table 3. Coefficients of lateral force, vertical force and rolling moment of left and right wing at v⁺=0.15 with and without stroke deviation

有/无抬升角	Y_L⁺	Y_R⁺	ΔY⁺	Z_L⁺	Z_R⁺	ΔZ⁺	L_L⁺	L_R⁺	ΔL⁺
无抬升角	0.093	-0.303	-0.210	1.773	1.690	0.083	2.843	-2.922	-0.079
有抬升角	0.326	-0.554	-0.228	1.780	1.749	0.031	2.961	-3.125	-0.164

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表 4 纵向稳定性矩阵A₁⁺的特征值

Table 4. Eigenvalues of longitudinal system matrix A₁⁺

有/无抬升角	模态1λ₁	模态2λ₂	模态3λ_{3, 4}
无抬升角	-0.169	-0.028	0.065±0.136i
有抬升角	-0.169	-0.028	0.067±0.138i

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表 5 横向稳定性矩阵A₂⁺的特征值

Table 5. Eigenvalues of lateral system matrix A₂⁺

有/无抬升角	模态1λ₁	模态2λ₂	模态3λ_{3, 4}
无抬升角	-1.269	-0.153	-0.006±0.058i
有抬升角	-1.330	-0.157	-0.003±0.089i

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