基于多分辨率SPH-FEM耦合方法的鸟撞问题数值模拟

doi:10.7527/S1000-6893.2024.30116

Abstract

Abstract:

To study the problem of bird strike on aero-engine fan blades， this paper proposes a multi-resolution SPH-FEM coupling method considering adaptive generation of finite elements. Firstly， by setting a group of background particles at the interpolation points inside the FEM elements， the new method overcame the problem of consistency requirement of model discrete scale at the coupling interface in the traditional SPH-FEM coupling method. Secondly， by adding an element adaptive generation algorithm and applying the non-reflecting boundary condition， the new method changed the calculation range from all elements to elements at critical areas， reducing computational costs. Using this new coupling method， this study conducted numerical simulations of bird strikes on areo-engine fan blades， analyzed the dynamic response during the impact process， and revealed the damage mechanisms of fan blades under the condition of bird strikes. It is of important significance for the design of bird strike resistance for aero-engine fan blades and the improvement of flight safety.

Key words: aero-engine, fan blade, SPH-FEM, bird strike, flight safety

CLC Number:

V215

Mingrui MA, Fuzhen CHEN, Hong YAN, Fan LIU. Numerical simulation of bird strike based on multi-resolution SPH-FEM coupling method[J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(21): 230116.

Figures/Tables 40

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Fig.5

Fig.6

Fig.7

Fig.8

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Fig.13

Table 1

Material parameters of 2A12 aluminum alloy［34］

参数	数值	参数	数值
$ρ$ /（kg·m^-3）	2 770	$n$	0.9
$E$ /GPa	71.7	$D 1$	0.116
$ε$	0.33	$D 2$	0.211
$A$ /MPa	400	$D 3$	-2.172
$B$ /MPa	635	$D 4$	0.012
$C$	0.005	$D 5$	-0.012 56
$m$	1.426	$ε ˙ 0$ /s^-1	0.001 1

Table 1

Fig.14

Fig.15

Fig.16

Fig.17

Fig.18

Table 2

Fig.19

Table 3

Material parameters of bird tissue

参数	数值
$ρ 0$ /（kg·m^-3）	938
$P r$ /GPa	2.0
$γ$	7.0
$μ$ /（ $P a ⋅ s$ ）	300

Table 3

Table 4

Material parameters of bird bone

参数	数值	参数	数值
$ρ$ /（kg·m^-3）	1 500	$n Y$	0.6
$E$ /GPa	10	$D 1$	0.5
$ε$	0.3	$D 2$	0.1
$A$ /MPa	170	$D 3$	-0.2
$B$ /MPa	100	$D 4$	0.01
$C$	0.005	$D 5$	0
$m Y$	0	$ε ˙ 0$ / $s - 1$	0.001

Table 4

Fig.20

Fig.21

Fig.22

Fig.23

Fig.24

Fig. 25

Table 5

Material parameters of blades［36］

参数	数值	参数	数值
$ρ$ /（kg·m^-3）	4 430	$n Y$	0.93
$E$ /GPa	113	$D 1$	-0.09
$ε$	0.33	$D 2$	0.25
$A$ /MPa	1 098	$D 3$	-0.5
$B$ /MPa	1 092	$D 4$	0.014
$C$	0.014	$D 5$	3.87
$m Y$	1.1	$ε ˙ 0$ / $s - 1$	0.000 5

Table 5

Fig.26

Table 6

Parameter setting for three simulation conditions

撞击点叶高	$H / m$	$v 1 / m ⋅ s - 1$	$v 2 / m ⋅ s - 1$	$v 3 / m ⋅ s - 1$
75%	1.197 5	105.0	361.0	106.0
50%	0.945	105.0	284.9	83.6
25%	0.692 5	105.0	208.7	61.3

Table 6

Fig.27

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Fig.34

References 36

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计算方法	FEM单元数	计算耗时/s
完整模型	70 444	4 346
生成算法		1 516

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Numerical simulation of bird strike based on multi-resolution SPH-FEM coupling method

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