On the Three-Dimensional ± J Ising Model by the Transfer Matrix Method

1989 ◽  
pp. 177-178 ◽  
Author(s):  
H. Kitatani ◽  
T. Oguchi
Keyword(s):  
Ising Model ◽  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Three Dimensional

The Analysis of Linear Rotor-Bearing Systems: A General Transfer Matrix Method

1993 ◽  
Vol 115 (4) ◽  
pp. 490-497 ◽  
Author(s):  
An-Chen Lee ◽  
Yuan-Pin Shih ◽  
Yuan Kang
Keyword(s):  
Steady State ◽  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Three Dimensional ◽  
Continuous System ◽  
State Variables ◽  
Rotor Bearing ◽  
Steady State Responses ◽  
State Responses

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).

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

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.

scholarly journals Phase transition properties of a finite ferroelectric superlattice from the transverse Ising model.

2000 ◽  
Vol 53 (3) ◽  
pp. 453
Author(s):  
Xiao-Guang Wang ◽  
Ning-Ning Liu ◽  
Shao-Hua Pan ◽  
Guo-Zhen Yang
Keyword(s):  
Phase Transition ◽  
Ising Model ◽  
Curie Temperature ◽  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Type B ◽  
Elementary Unit ◽  
Transverse Ising Model ◽  
Exchange Constants

We consider a finite ferroelectric superlattice in which the elementary unit cell is made up of 1 atomic layers of type A and n atomic layers of type B. Based on the transverse Ising model we examine the phase transition properties of the ferroelectric superlattice. Using the transfer matrix method we derive the equation for the Curie temperature of the superlattice. Numerical results are given for the dependence of the Curie temperature on the thickness and exchange constants of the superlattice.

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