阻尼环结构行波振动的非线性分析方法及试验

doi:10.7527/S1000-6893.2026.33277

Abstract

Abstract:

During the design of gas turbine aircraft engines， it is essential to analyze the vibration and damping characteristics of the rotationally cyclic structure experiencing traveling wave vibration. A finite element model of a single sector is established. The cyclic symmetry boundary conditions and Craig-Bampton reduction method are combined to construct a reduced order model. Based on the harmonic balance method， the structural forced responses under traveling wave excitation are calculated. By integrating the nonlinear complex vibrational pattern method， the proposed approach enables the calculation of the nonlinear vibrational pattern. A method based on the nonlinear vibrational pattern is proposed to calculate the resonant response of the blisk. A sensitivity analysis is conducted on the blisk with a ring damper， and a response surface model of the key design parameters is constructed. The results reveal two key findings： damping characteristics exhibit negligible sensitivity to traveling wave direction and increasing the ring damper cross-sectional dimension enhances peak damping ratios but may increase critical amplitudes. The actual blisk is modified to add a ring damper. A rotational excitation test is performed. The results show that the ring damper reduces the amplitude by approximately 80%. This method provides an effective tool for damping analysis and structural optimization of cyclic structures under traveling wave vibration.

Key words: blisk, ring damper, dry friction, nonlinear vibrational pattern, reduced order model, damping ratio, rotational excitation

CLC Number:

V231.92

Chenhong DU, Yanrong WANG, Fazhong WANG, Xianghua JIANG, Zan JIAO, Qian CHENG. Nonlinear analysis method and experiment on rotationally cyclic structure with a ring damper suppressing vibration under traveling wave excitation[J]. Acta Aeronautica et Astronautica Sinica, 2026, 47(17): 233277.

Figures/Tables 26

Fig.1

Fig.2

Fig.3

Table 1

Fig.4

Fig.5

Fig.6

Fig.7

Fig.8

Fig.9

Fig.10

Fig.11

Fig.12

Table 2

Response surface model variance analysis

参数	峰值阻尼比		临界振幅
参数	F-value	p-value	F-value	p-value
$x b$	166.88	<0.000 1	33.91	0.004 3
$x h$	1 675.49	<0.000 1	25.79	0.007 1
$x h p$	182.63	<0.000 1	0.61	0.479 8
$x b x h$	40.82	0.001 4	8.31	0.044 9
$x b x h p$	1.46	0.281 7	4.58	0.099 1
$x h x h p$	63.30	0.000 5	0.44	0.542 2
$x b 2$	2.19	0.199 2	2.14	0.217 1
$x h 2$	5.12	0.073 2	4.36	0.105 0
$x h p 2$	65.73	0.000 5	7.90	0.048 3
$x b x h x h p$			15.82	0.016 4

Table 2

Table 3

Response surface model coefficient of peak damping ratio and critical amplitude

参数	峰值阻尼比	临界振幅	参数	峰值阻尼比	临界振幅
$β 0$	0.639	0.103 4	$β 13$	-0.019	0.007 7
$β 1$	0.178	0.018 8	$β 23$	-0.123	-0.002 4
$β 2$	0.564	0.016 4	$β 11$	-0.040	-0.009 3
$β 3$	-0.186	0.002 5	$β 22$	0.061	-0.013 3
$β 12$	0.098	0.010 4	$β 33$	0.220	-0.017 9
			$β 123$		0.014 4

Table 3

Fig.13

Fig.14

Fig.15

Fig.16

Fig.17

Table 4

Fig.18

Fig.19

Fig.20

Fig.21

Fig.22

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阶次	节径数0		节径数10		节径数21
阶次	减缩	完全	减缩	完全	减缩	完全
1	39	39	768	768	812	812
2	39	39	769	769	1 661	1 661
3	589	589	808	808	2 402	2 402
4	786	786	1 657	1 657	3 382	3 382
5	1 317	1 316	2 394	2 394	3 428	3 427
6	1 636	1 636	2 823	2 823	3 433	3 428

阻尼环厚度/mm	振动应变/με
阻尼环厚度/mm	试验结果	仿真结果
	282	282
3	62	98
4	50	130
5	59	185

Nonlinear analysis method and experiment on rotationally cyclic structure with a ring damper suppressing vibration under traveling wave excitation

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