Torsional Vibration Dynamic Analysis of the Test Rig for Intersecting Axes Gears of Helicopters

2011 ◽  
Vol 42 (11) ◽  
pp. 3-8
Author(s):  
Xiangyang Jin ◽  
Li Gui Xian ◽  
Zhao Yong Qiang
Keyword(s):  
Dynamic Analysis ◽  
Transfer Matrix ◽  
Torsional Vibration ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Test Rig ◽  
Vibration Load ◽  
Beveloid Gears ◽  
Vibration Dynamics ◽  
The Mathematical Model

In this paper, the transfer matrix method has been employed to analyze the torsional vibration dynamics of the test rig for closed intersecting axes beveloid gears of helicopter. The torsional vibration dynamic model has been established through adopting the transfer matrix method. At the same time, the mathematical model of the branch nodes and the dynamic analysis of test rig closed system have been also derived. The dynamic simulation principle of the test rig is studied and the corresponding dynamic load coefficients are also solved. Finally, the simulation curve of the vibration load coefficients of the test gears under different speed is drawn. The results shows that both the dynamic character of test rig and the loading precision can meet the test requirement.

A System of Calculation and Analysis of Torsional Vibration for Turbine-Generator Shafts

2007 ◽  
Author(s):  
Dongmei Du ◽  
Zhi Zhang ◽  
Qing He
Keyword(s):  
Power System ◽  
Electric Power ◽  
Transfer Matrix ◽  
Torsional Vibration ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Electric Power System ◽  
Torsional Angle ◽  
Good Precision ◽  
Turbine Generator

Due to the disturbance of electric power system or other shock load, the torsional vibration of turbine-generator shafts occurs. Alternative shear stress due to torsional vibration decreases the shafts life, even results in shafts broken. It is significant to calculate and analyze natural properties and the responses of tosional vibration excited by the disturbance of electric power system in order to analyze and prevent catastrophic accident. The calculation and analysis system of torsional vibration of turbine-generator shafts is developed. With multi-mass lumped model, the model of torsional vibration of turbine-generator shafts is obtained. The system calculates the natural frequencies and the modal shapes of torsional vibration with the transfer matrix method, the response of torsional vibration of shafts with the increment transfer matrix method, such as torsional angle, angular velocity, angular acceleration, cross-section torque, and torsional stress. The response spectrum of torsional vibration can be obtained by fast Fourier transform algorithm Take an example of a 200MW turbine-generator, which is in the condition of non-all-phase operation. The responses of torsional vibration of shafts are calculated and analyzed. The bolt broken reasons of the coupling of inter-pressure rotor and low-pressure rotor and the coupling of generator and exciter are discussed. The results are identical with the data recorded in field. It is proved that the system is good precision, convenient using, friendly interfacing, and visual calculating.

An Increment Transfer Matrix Method for the Torsional Vibration Response of Steam Turbo-Generator Shaft System

2010 ◽  
Vol 34-35 ◽  
pp. 1082-1087 ◽  
Author(s):  
Cheng Bing He ◽  
Cheng Xing ◽  
Jian Shen
Keyword(s):  
Transfer Matrix ◽  
Torsional Vibration ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Short Circuit ◽  
Nonlinear Differential Equations ◽  
Mass Model ◽  
Shaft System ◽  
Turbo Generator ◽  
Generator Unit

In order to solve nonlinear system torsion response of turbo-generator unit, an increment transfer matrix method based on step-by-step integration method and traditional transfer matrix method was put forward. The method can be directly used to analyze nonlinear differential equations. Combined with Riccati method, the increment transfer matrix method was used in a multi-mass model. And matrix equations calculating the responses of torsional vibrations were deduced. Torsional vibration resulted from the faults of short circuit and asynchronous synchronization of 600MW steam turbo-generator unit were discussed in this work by using the increment transfer matrix method which can also extend the application of transfer matrix method in nonlinear field.

Study of Stator Structure Modeling for Rotor Dynamic Analysis

2001 ◽  
Author(s):  
Masaharu Shinozaki ◽  
Osamu Funatogawa ◽  
Masao Kobayashi
Keyword(s):  
Dynamic Analysis ◽  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Mass Matrix ◽  
Structure Modeling ◽  
Vibration Data ◽  
Structure Dynamics ◽  
Engine Vibration ◽  
Rotor Dynamic

When applying the rotor dynamic analysis model to the design of the lightweight and flexible stator structure of aero-engines, it is indispensable to consider stator-structure dynamics. In order to simulate stator-structure dynamics, entire engine system are modeled by several layers including stator structures in the Transfer Matrix Method. Additionally, in the context of an accurate analysis of stator-structure dynamics, the Transfer Matrix Method has been found to be very useful when using Direct Matrix to calculate stiffness and mass matrix data with the aid of the finite element method. A stator-structure model is evaluated by measuring engine vibration data under normal imbalance conditions. Then selecting 25 quantitative parameters that characterize engine vibration, these parameters are optimized to minimize the difference between the calculated response and the measured vibration data. Optimization results show the influence of these parameters upon engine vibration characteristics. These investigations are effective in helping to improve engine stator-structure modeling techniques.

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