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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Vydáno v:	Archive of applied mechanics (1991) Ročník 95; číslo 12; s. 274
Hlavní autoři:	Wang, Ting, Qin, Qiyong, Zhao, Yang, Fan, Ye, Deng, Congying, Lu, Sheng
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2025 Springer Nature B.V
Témata:	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
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Abstract	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.
AbstractList	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. 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.
ArticleNumber	274
Author	Deng, Congying Wang, Ting Qin, Qiyong Lu, Sheng Zhao, Yang Fan, Ye
Author_xml	– sequence: 1 givenname: Ting surname: Wang fullname: Wang, Ting email: wangting@cqupt.edu.cn organization: Institute of Advanced Science, Chongqing University of Posts and Telecommunications, The Key Laboratory of Industrial Internet of Things and Networked Control, Ministry of Education, Chongqing University of Posts and Telecommunications – sequence: 2 givenname: Qiyong surname: Qin fullname: Qin, Qiyong organization: College of Automation, Chongqing University of Posts and Telecommunications – sequence: 3 givenname: Yang surname: Zhao fullname: Zhao, Yang organization: College of Advanced Manufacturing Engineering, Chongqing University of Posts and Telecommunications, State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi’an Jiaotong University – sequence: 4 givenname: Ye surname: Fan fullname: Fan, Ye organization: College of Advanced Manufacturing Engineering, Chongqing University of Posts and Telecommunications – sequence: 5 givenname: Congying surname: Deng fullname: Deng, Congying organization: Institute of Advanced Science, Chongqing University of Posts and Telecommunications, College of Advanced Manufacturing Engineering, Chongqing University of Posts and Telecommunications – sequence: 6 givenname: Sheng surname: Lu fullname: Lu, Sheng organization: Institute of Advanced Science, Chongqing University of Posts and Telecommunications, College of Advanced Manufacturing Engineering, Chongqing University of Posts and Telecommunications
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SubjectTerms	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
Title	Vibration modelling with optimized complex boundary in full-scale elastic theory for large end-winding
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