Applying Transfer Matrix Method in Mode Analysis of Wind Turbine

2012 ◽  
Vol 512-515 ◽  
pp. 686-689
Author(s):  
Li Dong ◽  
Li Xiang Sun ◽  
Ming Qin
Keyword(s):  
Wind Turbine ◽  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Large Scale ◽  
Matrix Theory ◽  
Twist Angle ◽  
Mode Analysis ◽  
Comparison Results ◽  
Calculation Results

Mode analysis for wind turbine is more and more important with the large-scale direction development of wind turbines. Considering twist angle of blade, centrifugal force, weight of blade, weight of tower and nacelle, turbine inertia, traditional transfer matrix theory is amended and applied in the mode analysis of wind turbine in this paper. Applying amended transfer matrix theory, the mode analysis of a real wind turbine is made and the analysis results are compared with the calculation results from NREL Mode program. The comparison results show that amended transfer matrix theory takes wind turbine inertia into account and have higher accuracy.

Studies on Dynamic Characteristics of Main Shaft for TM Electronic Jacquard Machine

2012 ◽  
Vol 190-191 ◽  
pp. 1290-1294
Author(s):  
Feng Chen ◽  
Wei Zhang
Keyword(s):  
Transfer Matrix ◽  
Dynamic Characteristics ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
High Speed ◽  
Matrix Theory ◽  
Reference Value ◽  
Main Shaft ◽  
Operation Speed ◽  
Calculation Results

The integrated transfer matrix method is brought forward on the basis of transfer matrix method and integrated transfer matrix theory is applied to the analysis on the dynamic characteristics of the main shaft for TM electronic jacquard machine. Through analysis on the dynamic model of the main shaft, the critical speed and the vibrating model of the main shaft for the high-speed electronic jacquard machine are derived theoretically and calculated and the first several order natural frequencies and the corresponding main vibration models of the main shaft are found. It is shown from the comparative analysis of the calculation results that the integrated transfer matrix method with higher computation accuracy can keep the characteristics of transfer matrix method such as simple programming, small computation amount and fast operation speed. This analysis and calculation method has higher reference value to the design of the main shaft of other types of jacquard machine and the dynamic analysis of similar complex rotor system.

scholarly journals A new version of the Riccati transfer matrix method for multibody systems consisting of chain and branch bodies

2019 ◽  
Vol 49 (3) ◽  
pp. 337-354 ◽  
Author(s):  
Xue Rui ◽  
Dieter Bestle ◽  
Guoping Wang ◽  
Jiangshu Zhang ◽  
Xiaoting Rui ◽  
...  
Keyword(s):  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Multibody Systems ◽  
Degrees Of Freedom ◽  
Large Scale ◽  
Multibody System ◽  
Branch System ◽  
Computational Speed ◽  
Speed Accuracy

Abstract Computational speed and stability are two important aspects in the dynamics analysis of large-scale complex multibody systems. In order to improve both in the context of the multibody system transfer matrix method, a new version of the Riccati transfer matrix method is presented. Based on the new version of the general transfer matrix method for multibody system simulation, recursive formulae are developed which not only retain all advantages of the transfer matrix method, but also reduce the truncation error. As a result, the computational speed, accuracy and efficiency are improved. Numerical computation results obtained by the proposed method and an ordinary multibody system formulation show good agreement. The successful computation for a spatial branch system with more than 100000 degrees of freedom validates that the proposed method is also working for huge systems.

The Analysis of Line Structures by Transfer Matrices Derived from Finite Elements

1975 ◽  
Vol 19 (01) ◽  
pp. 57-61
Author(s):  
W. D. Pilkey ◽  
J. K. Haviland ◽  
P. Y. Chang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Finite Elements ◽  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Large Scale ◽  
The Finite Element Method ◽  
Transfer Matrices ◽  
Finite Element Systems

It is shown that the finite-element method can be efficiently employed in the analysis of line structures, in particular, ship structures, if it is combined with the transfer matrix method. Advantage is taken of the finite element method's structural modeling capability in representing complicated substructures. The substructures are pieced together along the length of the structure using transfer matrices. It is demonstrated that this approach can be superimposed on available large scale finite-element systems to improve their efficiency and increase their capabilities.

Dynamic Analysis of Flexible Wind Turbine Tower by a Transfer Matrix Method

2021 ◽  
pp. 2150142
Author(s):  
Chaojie Gu ◽  
Dongyang Chen ◽  
Feifei Liu ◽  
Kang Fang ◽  
Dian Guo ◽  
...  
Keyword(s):  
Wind Turbine ◽  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Maximum Amplitude ◽  
Dynamic Responses ◽  
Mode Shapes ◽  
Strong Wind ◽  
Wind Turbine Tower ◽  
Tower Vibration

To generate more power, wind turbine rotors are growing in size and consequently, wind turbine tower are becoming increasingly taller and more flexible. As a result, fluid–structure interaction (FSI) of the flexible tower caused by strong wind is a very important phenomenon, and tower vibration must be carefully considered. In this paper, the physical model of the wind turbine tower is simplified appropriately, and then a multi-body dynamics model of wind turbine tower system is established based on Transfer Matrix Method of Multibody System (MSTMM). Compared with the data from finite element model (FEM) and field tests, the simulation results show that the model has a good accuracy. By coupling the mode shapes with two degrees of freedom (2-DOF) wake oscillator model, the dynamic responses of the flexible tower are computed. The influence of various foundation stiffness and top mass on tower vibration is studied systematically using this model. The results indicate that different boundary conditions can affect the maximum amplitude and displacement along the axis of the tower. This work provides a reference for dynamic modeling and simulation of high-rise flexible structure, and the prediction of the maximum amplitude of the tower vibration, which can be used for aeroelastic control purpose.

A Transfer Matrix Method for Nonlinear Vibration Analysis of Rotor-Bearing Systems

1991 ◽  
Author(s):  
Songyuan Lu
Keyword(s):  
Nonlinear Vibration ◽  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Roundoff Error ◽  
Integration Schemes ◽  
Rotor Bearing ◽  
Calculation Results ◽  
Error Accumulation ◽  
Short Time

Abstract In this paper, a transfer matrix method is presented for calculating nonlinear vibration of rotor-bearing systems. The method is based on the Riccati transfer matrix method and two direct integration schemes: Houbolt and Wilson-0. Since this method uses matrices with small size and new, more simple recurrence formulae, the calculation results, which do not contain the significant computation roundoff error accumulation, have been obtained and very short time is needed. Nonlinear vibration calculation becomes essential to actual rotor-bearing systems of engineering importance. This method is concise, explicit and short, and it can be executed on personal computers of present configurations.

scholarly journals Passive and Active Slab Waveguide Mode Analysis Using Transfer Matrix Method

2021 ◽  
Author(s):  
Yaser Khorrami ◽  
DAVOOD Fathi ◽  
Amin Khavasi ◽  
Raymond C. Rumpf
Keyword(s):  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Wave Packets ◽  
Scattering Matrix ◽  
Slab Waveguide ◽  
Mode Analysis ◽  
Slab Waveguides ◽  
Spatial Modes ◽  
Multilayer Slab

Abstract We present a general approach for numerical mode analysis of the multilayer slab waveguides using the Transfer Matrix Method (TMM) instead of the Finite Difference Frequency Domain (FDFD) method. TMM consists of working through the device one layer at a time and calculating an overall transfer matrix. Using the scattering matrix technique, we develop the proposed method for multilayer structures. We find waveguide modes for both passive and active slabs upon determinant analysis of the scattering matrix of the slab. To do this, we enhance the formulation of spatial scattering matrix to reach spatiotemporal scattering matrix. Our proposed technique is more efficient and faster than other numerical methods. Simulation results show either the spatial modes of inactive and hybrid spacetime modes of active planar waveguide. Also, spacetime wave packets can be seen using plane wave injection into the time-dependent slab waveguide instead of previously reported diffraction-free wave packets which have been obtained using the multifrequency input injection into the un-patterned inactive slab waveguides.

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