Modal Analysis of a Thick-Disk Rotor with Interference Fit Using Finite Element Method

Fan, Yuhua; Ding, Hu; Li, Maoyuan; Li, Jiacheng

doi:10.1155/2018/5021245

Cited by 6 publications

(4 citation statements)

References 15 publications

(19 reference statements)

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“…Equation (32) shows that the damped natural frequency is lower than the undamped natural frequency. However, in many practical cases, the damping ratio is relatively small and the difference is thus negligible [41,42]. Equation ( 32) is therefore rewritten as…”

Section: Natural Frequency and Mode Shapesmentioning

confidence: 99%

Free and Forced Vibration Analysis in Abaqus Based on the Polygonal Scaled Boundary Finite Element Method

Yang

2021

Advances in Civil Engineering

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The polygonal scaled boundary finite element method (PSBFEM) is a novel approach integrating the standard scaled boundary finite element method and the polygonal mesh technique. In this work, a user-defined element (UEL) for dynamic analysis based on the PSBFEM is developed in the general finite element software ABAQUS. We present the main procedures of interacting with Abaqus, updating AMATRX and RHS, defining the UEL element, and solving the stiffness and mass matrices through eigenvalue decomposition. Several benchmark problems of free and forced vibration are solved to validate the proposed implementation. The results show that the PSBFEM is more accurate than the FEM with mesh refinement. Moreover, the PSBFEM avoids the occurrence of hanging nodes by constructing a polygonal mesh. Thus, the PSBFEM can choose an appropriate mesh resolution for different structures ensuring accuracy and reducing calculation costs.

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Section: Natural Frequency and Mode Shapesmentioning

confidence: 99%

Free and Forced Vibration Analysis in Abaqus Based on the Polygonal Scaled Boundary Finite Element Method

Yang

2021

Advances in Civil Engineering

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“…The simultaneous equations ( 6) and (7) show that the contact pressure satisfies p i > p 1 , and the higher the contact pressure in the interference fit, the higher the ability to transfer torque. 20,21 It explains why the failure of transfer torque of multilayer interference fit first occurs in the first-layer interference in engineering practice. 14 Therefore, this work studies the torque capacity, focusing on the first-layer interference.…”

Section: Mathematical Formula Of Radial Interference and Friction Coe...mentioning

confidence: 99%

Torque capacity of the multilayer interference fit based on a friction coefficient prediction model

Ning

Wang

Xiang

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part J:

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This paper proposes the theoretical model of a multilayer interference fit and gives out the relational expression between radial interference and friction coefficient. Taking the typical wind turbine's shrink disk of a three-layer interference fit structure as an example, special experimental equipment is developed to test the torque capacity. Based on experimental results and the theoretical model, the mathematical expressions of radial interference and assembly stroke for friction coefficient are obtained by polynomial fitting, and the prediction model of friction coefficient is established. The three-dimensional finite element model of a shrink disk is constructed by applying the friction coefficient prediction model. With the mathematical expressions of radial interference and assembly stroke for the torque capacity, the rules of main dimension parameters and torque capacity are analyzed. The maximum relative error between experiment and simulation is 8.2%, which shows the feasibility of finite element simulation. The results of our study have certain guidance for the prediction of friction coefficient and the manufacture of the multilayer interference fit.

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“…It establishes a theoretical basis for reducing vibrations, avoiding resonance, ensuring safe operation, and performing dynamic analysis [ 12 – 14 ]. Additionally, it provides theoretical value in ensuring equipment design, predicting the operational state, and diagnosing faults in an entire system [ 15 – 17 ].…”

Section: Introductionmentioning

confidence: 99%

Improved calculation method for dry modal analysis of four-stage centrifugal-pump rotor system based on concentrated-mass method

Li,

Wei,

Gao

et al. 2024

PLoS ONE

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To improve the accuracy of modal analysis for a four-stage centrifugal-pump rotor system with a balancing disc based on the concentrated-mass analytical method, a simplified concentrated mass mathematical model and an ANSYS simulation model are established. The results from these two models are compared to determine factors that cause significant differences in the mode shapes. Subsequently, an optimized mathematical model based on the corrected mass moment of an inertia matrix and stiffness correction coefficients is proposed, and the effectiveness of this optimized mathematical model is validated using a four-stage centrifugal pump with back blades. The results show that the natural frequencies obtained from the ANSYS simulations are consistently higher than those obtained using the analytical method. The simplification of the moment of inertia at the impeller and balancing disc contributes primarily to the calculated errors. The optimized mathematical model reduces the errors in the natural frequencies from 12.96%, 12.13%, 9.96%, 5.85%, and 8.74% to 2.45%, 1.56%, 0.65%, 5.34%, and 2.28%, respectively. The optimization of natural frequencies offers better performance at lower-order modes, whereas its effects on higher-order modes are less significant. The optimization method is applicable to centrifugal pumps with back blades and reduces the error in theoretical calculations, based on reductions in the concentrated mass from 13.11%, 12.85%, 9.91%, and 7.2% to 3.7%, 3.86%, 0.57%, and 2.87%, respectively, thus further confirming the feasibility of the optimized model design.

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Modal Analysis of a Thick-Disk Rotor with Interference Fit Using Finite Element Method

Cited by 6 publications

References 15 publications

Free and Forced Vibration Analysis in Abaqus Based on the Polygonal Scaled Boundary Finite Element Method

Free and Forced Vibration Analysis in Abaqus Based on the Polygonal Scaled Boundary Finite Element Method

Torque capacity of the multilayer interference fit based on a friction coefficient prediction model

Improved calculation method for dry modal analysis of four-stage centrifugal-pump rotor system based on concentrated-mass method

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