Transfer matrix method for analyzing vibration and damping characteristics of rotational shell with passive constrained layer damping treatment

2010 ◽  
Vol 23 (4) ◽  
pp. 297-311 ◽  
Author(s):  
Jing Lu ◽  
Yu Xiang ◽  
Yuying Huang ◽  
Xiaoni Li ◽  
Qiao Ni
Keyword(s):  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Constrained Layer Damping ◽  
Damping Characteristics ◽  
Rotational Shell ◽  
Passive Constrained Layer Damping

An Improved Transfer Matrix Method for Steady-State Analysis of Nonlinear Rotor-Bearing Systems

2002 ◽  
Vol 124 (2) ◽  
pp. 303-310 ◽  
Author(s):  
J. W. Zu ◽  
Z. Ji
Keyword(s):  
Steady State ◽  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Roller Bearing ◽  
Harmonic Balance Method ◽  
Beam Theory ◽  
Rotating Shaft ◽  
Damping Characteristics ◽  
Rotor Bearing

An improved transfer matrix method is developed to analyze nonlinear rotor-bearing systems. The rotating shaft is described by the Timoshenko beam theory which considers the effect of the rotary inertia and shear deformation. A typical roller bearing model is assumed which has cubic nonlinear spring and linear damping characteristics. Transfer matrices for the Timoshenko shaft element, disk element, and nonlinear bearing element are derived and the global transfer matrix is formed. The steady-state response of synchronous, subharmonic, and superharmonic whirls is determined using the harmonic balance method. Two numerical examples are presented to demonstrate the effectiveness of this approach.

Improved Transfer Matrix Method in Analysis of Cylindrical Shell with Partially Covered Constrained Layer Damping

2013 ◽  
Vol 423-426 ◽  
pp. 1655-1658
Author(s):  
Hao Chuan Wan ◽  
Yi Nong Li ◽  
Ling Zheng
Keyword(s):  
Boundary Condition ◽  
Cylindrical Shell ◽  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
State Vector ◽  
Matrix Method ◽  
Constrained Layer Damping ◽  
First Derivative ◽  
Ring Shape ◽  
Association Matrix

The transfer matrix method in analysis of cylindrical shell with partially covered ring-shape constrained layer damping is improved. In this new method, state vector and boundary condition vectors are independent, so the computation of state vectors first derivative is simplified. An association matrix is introduced to connect state vectors and boundary condition vectors. In the uncovered section, the parameters of damping layer and constrained layer are considered as constant and leaded into state vectors and boundary condition vectors, so the transfer matrixs dimension of uncovered and covered section are same and the total transfer matrix can be obtained easily. The validity of this method is proved by an example.

The transfer matrix method for lattice proteins—an application with cooperative interactions

Polymer ◽  
2004 ◽  
Vol 45 (2) ◽  
pp. 707-716 ◽  
Author(s):  
Andrzej Kloczkowski ◽  
Taner Z. Sen ◽  
Robert L. Jernigan
Keyword(s):  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Cooperative Interactions ◽  
Lattice Proteins

A Modified Transfer Matrix Method for Asymmetric Rotor-Bearing Systems

1994 ◽  
Vol 116 (3) ◽  
pp. 309-317 ◽  
Author(s):  
Yuan Kang ◽  
An-Chen Lee ◽  
Yuan-Pin Shih
Keyword(s):  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Harmonic Balance Method ◽  
Continuous System ◽  
Euler Beam ◽  
Rotating Shaft ◽  
Rotor Bearing ◽  
Asymmetric Rotor ◽  
Steady State Responses

A modified transfer matrix method (MTMM) is developed to analyze rotor-bearing systems with an asymmetric shaft and asymmetric disks. The rotating shaft is modeled by a Rayleigh-Euler beam considering the effects of the rotary inertia and gyroscopic moments. Specifically, a transfer matrix of the asymmetric shaft segments is derived in a continuous-system sense to give accurate solutions. The harmonic balance method is incorporated in the transfer matrix equations, so that steady-state responses of synchronous and superharmonic whirls can be determined. A numerical example is presented to demonstrate the effectiveness of this approach.

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