Content area
Comparative data for a high-precise finite element model of a 600 MW large turbo-generator stator end winding already exist. Then, the double-layered winding modelling and characteristic equation under the theory of composite materials are implemented in detail. In the model, the shell is used to model double-layered winding and the supporting structures are treated as ring stiffeners and stringer stiffeners. Based on the discrete element method, the equivalent model of stiffened and ribbed conical shell for end winding can be established. After that, the natural and forced vibration equations of the end winding are established by Rayleigh–Ritz method with improved Fourier series which is suitable for different complex elastic boundary conditions. The vibration modeling is innovatively extended to the optimization model of characteristic equation for stator-winding. The optimized semi-analytical solution can find a better spring stiffness configuration to simulate complex boundary conditions. The analytical solution of the modal parameters of the end winding is obtained by calculation; a new, complete derivation of the frequency response function is carefully presented; Rayleigh damping and potential energy function of excitation force are innovatively introduced, and the displacement response analysis in multi-dimension is established. The complex evolution law in frequency domain and space domain is consistent with that of finite element analysis. Then, the rationality and correctness of the established equivalent digital mechanism model are verified.
Details
Finite element method;
Stators;
Potential energy;
Mathematical analysis;
Winding;
Turbogenerators;
Equivalence;
Optimization;
Boundary conditions;
Discrete element method;
Ring stiffeners;
Conical shells;
Composite materials;
Frequency response functions;
Vibration analysis;
Eigenvectors;
Optimization models;
Eigenvalues;
Big Data;
Forced vibration;
Stiffeners;
Ritz method;
Fourier series;
Damping;
Exact solutions
1 Chongqing University of Posts and Telecommunications, Institute of Advanced Science, Chongqing, China (GRID:grid.411587.e) (ISNI:0000 0001 0381 4112); Ministry of Education, The Key Laboratory of Industrial Internet of Things and Networked Control, Chongqing University of Posts and Telecommunications, Chongqing, China (GRID:grid.411587.e) (ISNI:0000 0001 0381 4112)
2 Chongqing University of Posts and Telecommunications, College of Automation, Chongqing, China (GRID:grid.411587.e) (ISNI:0000 0001 0381 4112)
3 Chongqing University of Posts and Telecommunications, College of Advanced Manufacturing Engineering, Chongqing, China (GRID:grid.411587.e) (ISNI:0000 0001 0381 4112); Xi‘an Jiaotong University, State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi‘an, China (GRID:grid.43169.39) (ISNI:0000 0001 0599 1243)
4 Chongqing University of Posts and Telecommunications, College of Advanced Manufacturing Engineering, Chongqing, China (GRID:grid.411587.e) (ISNI:0000 0001 0381 4112)
5 Chongqing University of Posts and Telecommunications, Institute of Advanced Science, Chongqing, China (GRID:grid.411587.e) (ISNI:0000 0001 0381 4112); Chongqing University of Posts and Telecommunications, College of Advanced Manufacturing Engineering, Chongqing, China (GRID:grid.411587.e) (ISNI:0000 0001 0381 4112)