Vibration modelling with optimized complex boundary in full-scale elastic theory for large end-winding

This study presents a high-fidelity modelling and vibration analysis framework for a 600 MW turbo-generator stator end winding, integrating composite materials theory and discrete element methods. The double-layered winding is modelled as a conical shell model with ring and stringer stiffeners repre...

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Bibliographic Details
Published in:Archive of applied mechanics (1991) Vol. 95; no. 12; p. 274
Main Authors: Wang, Ting, Qin, Qiyong, Zhao, Yang, Fan, Ye, Deng, Congying, Lu, Sheng
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2025
Springer Nature B.V
Subjects:
Big Data
Boundary conditions
Classical Mechanics
Composite materials
Conical shells
Damping
Eigenvalues
Eigenvectors
Engineering
Exact solutions
Forced vibration
Fourier series
Frequency response functions
Mathematical analysis
Mathematical models
Mechanical properties
Medical dressings
Optimization
Original
Potential energy
Ritz method
Stators
Theoretical and Applied Mechanics
Turbogenerators
Vibration analysis
Winding
Mechanism model
Vibration characteristics
Stator end winding
Finite element analysis
Modal parameters
ISSN:0939-1533, 1432-0681
Online Access:Get full text
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Summary:This study presents a high-fidelity modelling and vibration analysis framework for a 600 MW turbo-generator stator end winding, integrating composite materials theory and discrete element methods. The double-layered winding is modelled as a conical shell model with ring and stringer stiffeners representing supporting components. Natural and forced vibration equations are derived using the Rayleigh–Ritz method with an enhanced Fourier series, enabling accurate simulation of complex elastic boundary conditions. The model is extended to optimize the stator-winding characteristic equation, yielding a semi-analytical solution for spring stiffness configuration. Key innovations include the analytical derivation of modal parameters, a rigorously formulated frequency response function, and the introduction of Rayleigh damping and excitation force potential energy. Multidimensional displacement response analysis demonstrates strong agreement with finite element results, validating the proposed equivalent digital mechanism model’s accuracy and robustness.
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ISSN:0939-1533
1432-0681
DOI:10.1007/s00419-025-02977-3