A novel scaling method for the elastic ring supporting structure of an aero-engine rotor system: analytical and experimental investigations

doi:10.1007/s10483-026-3331-6

Abstract

Abstract:

The testing of large structures is limited by high costs and long cycles, making scaling methods an attractive solution. However, the scaling process of elastic rings introduces complexities in multi-parameter geometric distortions, leading to a diminution in the predictive accuracy of the distorted similitude. To address this challenge, this study formulates a novel set of scaling laws, tailored to account for the intricate geometric distortions associated with elastic rings. The proposed scaling laws are formulated based on the intrinsic deformation characteristics of elastic rings, rather than the traditional systemic governing equations. Numerical and experimental cases are conducted to assess the efficacy and precision of the proposed scaling laws, and the obtained results are compared with those achieved by traditional methods. The outcomes demonstrate that the scaling laws put forth by this study significantly enhance the predictive capabilities for deformations of elastic rings.

Key words: rotor system, aero-engine, elastic ring, scaling method, supporting structure

2010 MSC Number:

O342

Lei LI, Tianyue MA, Zhong LUO, Dongwu GAO, Xiangdong GE, Hui MA, Shibin WANG. A novel scaling method for the elastic ring supporting structure of an aero-engine rotor system: analytical and experimental investigations. Applied Mathematics and Mechanics (English Edition), 2026, 47(1): 1-18.

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Figures/Tables 13

Fig. 1

Fig. 2

Fig. 3

Fig. 4

Fig. 5

Fig. 6

Table 1

Dimensions of the elastic ring prototypes (P1, P2, and P3) and Model"

ID	$d$ /mm	$t$ /mm	$l b$ /mm	$s$ /mm	$h$ /mm	$r$ /mm	$n$
P1	190	24	5	3.3	0.2	18	20
P2	210	33	5	3.9	0.2	24	20
P3	210	33	5	4.8	0.2	24	20
M	81	17	5	1.3	0.2	20	12

Table 1

Table 2

Scaling ratios of the elastic ring prototypes (P1, P2, and P3) to Model"

ID	$λ d$	$λ t$	$λ l b$	$λ s$	$λ h$	$λ r$	$λ n$
P1	2.35	1.41	1	2.54	1	0.9	1.67
P2	2.59	1.94	1	3	1	1.2	1.67
P3	2.59	1.94	1	3.69	1	1.2	1.67

Table 2

Fig. 7

Fig. 8

Fig. 9

Fig. 10

Fig. 11

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