A novel vibration modeling method for a rotating blade with breathing cracks

An efficient method for solving vibration equations is the basis of the vibration analysis of a cracked multistage blade–disk–shaft system. However, dynamic equations are usually time varying and nonlinear, and the time required for solving is greatly increased accompanied by an increase in the model order caused by the multistage system and the nonlinearity caused by cracks. In this article, an efficient method for solving the time varying and nonlinear vibration equation is investigated. In the proposed method, the time varying terms are transformed into constant terms, while the local nonlinear matrix of the cracked blade is separated from the assembly stiffness matrix under the constraint of proper orthogonal decomposition (POD) transformation rules. Furthermore, the POD transformations of the constant terms and the linear assembled stiffness matrix can be implemented in the pretreatment steps to achieve a more efficient POD reduction operation. This research provides a method for efficiently performing the comprehensive and rapid analysis of nonlinear vibration characteristics of rotor systems.

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“…In the modeling of a cracked blade, the released energy associated with the crack is considered as follows 33,35…”

Section: Modeling Of a Normal Systemmentioning

confidence: 99%

An efficient method for vibration equations with time varying coefficients and nonlinearities

Yang

Xie

Chen

et al. 2021

Journal of Low Frequency Noise, Vibration and Active Control

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“…Four types of analytical crack models are often used to simulate the crack effect on dynamic characteristics of rotating blade with crack, and they are open crack model (OCM) [22], bilinear breathing crack model (BBCM) [36], cosine breathing crack model (CBCM) [30], and stress-based breathing crack model (SBCM) [37]. The OCM, a linear model, is the earliest transverse crack model applied to study the vibration of rotating cracked blade.…”

Section: Brief Review Of Conventional Crack Modelsmentioning

confidence: 99%

“…In Ref. [37], the stress-based breathing crack model (SBCM) proposed is introduced to elaborate the interaction between the bending stress and centrifugal stress, with which the closing behavior of the crack is determined during blade vibration. During the vibration of rotating blade, the stress at the crack section is the superposition of bending stress and centrifugal stress, as shown in Fig.…”

Section: Brief Review Of Conventional Crack Modelsmentioning

confidence: 99%

“…In Ref. [37], the stiffness alteration coefficients corresponding to three crack states, i.e., breathing function, are estimated according to the effective inertia moment of the open crack area as follows:…”

Section: Brief Review Of Conventional Crack Modelsmentioning

confidence: 99%

“…Since the open crack surface cannot provide the centrifugal tensile stress along with the spanwise direction, it is believed in Ref. [37] that the centrifugal stiffening effect is weakened and an additional bending moment is induced by the centrifugal effects of the…”

Section: Brief Review Of Conventional Crack Modelsmentioning

confidence: 99%

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Steady-state coupling vibration analysis of shaft–disk–blade system with blade crack

Yang

Mao

et al. 2021

Nonlinear Dyn

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Rotating shaft-disk-blade (RSDB) system is one of the most important parts of turbomachinery, such as aero-engine, gas turbine and power plant. The coupling vibration of RSDB system with blade crack is vital for the blade health monitoring and crack detection of rotating blade. This study aims at addressing the dynamic modeling and steady-state coupling vibration mechanism of RSDB system with blade crack. First and foremost, on the basis of the stress state at crack section, an improved analytical breathing crack model (modified stress-based breathing crack model, MSBCM) for rotating blade is proposed. The validity of the proposed breathing crack model is verified by comparing the results obtained by MSBCM, finite element contact crack model and conventional analytical crack models. The comparative results suggest that MSBCM is of high fidelity and behaves best among the analytical crack models. Subsequently, a comprehensive dynamic model of the coupling vibration for RSDB system with blade crack is formulated on the basis of continuum

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Research on Coupling Vibration of Disk Crack and Shaft Crack of Rotor System Based on Finite Element Method

Peng

Chiu

2020

Advances in Intelligent Systems and Computing

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A novel vibration modeling method for a rotating blade with breathing cracks

Cited by 32 publications

References 19 publications

An efficient method for vibration equations with time varying coefficients and nonlinearities

An efficient method for vibration equations with time varying coefficients and nonlinearities

Steady-state coupling vibration analysis of shaft–disk–blade system with blade crack

Research on Coupling Vibration of Disk Crack and Shaft Crack of Rotor System Based on Finite Element Method

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