An Investigation of Three-Dimensional Vibrations of Diesel Engine Shaftings Using the Transfer Matrix Method

A general transfer matrix method (GTMM) is developed in the present work for analyzing the steady-state responses of rotor-bearing systems with an unbalancing shaft. Specifically, we derived the transfer matrix of shaft segments by considering the state variables of shaft in a continuous system sense to give the most general formulation. The shaft unbalance, axial force, and axial torque are all taken into consideration so that the completeness of transfer matrix method for steady-state analysis of linear rotor-bearing systems is reached. To demonstrate the effectiveness of this approach, a numerical example is presented to estimate the effect of three-dimensional distribution of shaft unbalance on the steady-state responses by GTMM and finite element method (FEM).

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Application of Transfer Matrix Method to Dynamic Analysis of Pipes With FSI

Volume 5: High-Pressure Technology; ASME NDE Division; 22nd Scavuzzo Student Paper Symposium and Competition ◽

10.1115/pvp2014-28221 ◽

2014 ◽

Author(s):

Shuaijun Li ◽

Bryan W. Karney ◽

Gongmin Liu

Keyword(s):

Transfer Matrix ◽

Transfer Matrix Method ◽

Matrix Method ◽

Longitudinal Vibration ◽

Three Dimensional ◽

Structural Equations ◽

Analytical Models ◽

Pipe System ◽

Various Boundary Conditions ◽

Pipe Systems

Analytical models of three dimensional pipe systems with fluid structure interaction (FSI) are described and discussed, in which the longitudinal vibration, transverse vibration and torsional vibration were included. The transfer matrix method (TMM) is used for the numerical modeling of both fluidic and structural equations and then applied to the problem of predicting the natural frequencies, modal shapes and frequency responses of pipe systems with various boundary conditions. The main advantage of the present approach is that each pipe section of pipe system can be independently analyzed by a unified matrix expression. Thus the modification of any parameter such as pipe shapes and branch numbers does not involve any change to the solution procedures. This makes a parameterized analysis and further mechanism investigation much easier to perform compared to most existing procedures.

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Vibration analysis of three-dimensional pipes conveying fluid with consideration of steady combined force by transfer matrix method

Applied Mathematics and Computation ◽

10.1016/j.amc.2012.08.081 ◽

2012 ◽

Vol 219 (5) ◽

pp. 2453-2464 ◽

Cited By ~ 22

Author(s):

H.L. Dai ◽

L. Wang ◽

Q. Qian ◽

J. Gan

Keyword(s):

Transfer Matrix ◽

Transfer Matrix Method ◽

Matrix Method ◽

Vibration Analysis ◽

Three Dimensional ◽

Pipes Conveying Fluid ◽

Conveying Fluid

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G12V190 Type Diesel Engine Exhaust Muffler Design Based on Transfer Matrix Method

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.295-297.1460 ◽

2011 ◽

Vol 295-297 ◽

pp. 1460-1464

Author(s):

Jin Sheng Ma ◽

Ling Zhou ◽

Zhi Quan Dang ◽

Zi Feng Liu ◽

Da Min Zhuang ◽

...

Keyword(s):

Diesel Engine ◽

Transfer Matrix ◽

Transfer Matrix Method ◽

Matrix Method ◽

Low Frequency ◽

Calculation Procedure ◽

Engine Exhaust ◽

Diesel Engine Exhaust ◽

Exhaust Noise ◽

Noise Frequency

In this paper the diesel engine exhaust noise in petroleum well workplaces has been measured, the peak values scatters mainly in the low-frequency range, and the top value has reached 123dB. Based on transfer matrix method, this paper analyzes six kinds of silencing elements and establishes optimizing calculation procedure for diesel engine exhaust muffler. According to optimizing calculation procedure and exhaust noise frequency spectrum characteristic of diesel engine, we have designed a new large amount resistance muffler for G12V190 type diesel engine. After petroleum well scene experiment, the insertion loss of exhaust muffler has reached 33dB.

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