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Abstract

The extended transfer matrix method with complex numbers and the Newton-Raphson technique is used to analyze torsional vibration for branched systems. The relationship between the first station and the last station is established. Equivalent contact disks of the power train with a contact transfer matrix are used to simplify a branched torsional system into a single shaft system. This method reduces calculation of some elements in the complicated procedures of matrix multiplication. A system with three free-end boundaries is analyzed. The calculated results of the eigenvalues and eigenvectors of an undamped branched system are compared and show good agreement with the data obtained by the MATLAB software program. The eigensolutions of a damped branched system are calculated and the results are acceptable. Therefore, the methodology used is feasible for the torsional vibration analysis of damped branched systems.

Keywords

Extended transfer matrix method branched damped torsional system

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References

Dawson B. and Davies, M. , 1974, "An improved transfer matrix procedure," International Journal for Numerical Methods in Engineering 8, 111-117.

Doughty, S. , 1985, "Transfer matrix eigensolutions for damped torsional systems ," ASMEJournal of Vibration, Acoustics, Stress, and Reliability in Design 107, 128-132.

Gilbert, A.C. , 1972, "A note on the calculation of torsional natural frequencies of branched systems," ASME Journal of Engineering Industry , February, 279-283.

Hirschhorn, J. , 1958, "A simplified tabular method for torsional vibration analysis of multiple-rotor shaft systems," Machine Design, May, 141-146.

Holzer, H. , 1922, Die Berechnung der Drehschwingungen, Springer, Berlin.

Huang, Y.M. , 1982, "Performance of the damper in a power train," ASME paper No. 84-DET-160.

Huang, Y.M. and Horng, C.D. , 1999, "Analysis of torsional vibration systems by the extended transfer matrix method," ASME Journal of Vibration and Acoustics 121 (April), 250-255.

Pestel, E.C. , 1963, Matrix Methods in Elastomechanics, McGraw-Hill, New York.

Sankar, S. , 1979, "On the torsional vibration of branched system using extended transfer matrix method," ASME Journal of Mechanical Design 101(October), 546-553.

Extended Transfer Matrix Method with Complex Numbers for Branched Torsional Systems

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