Wigner-function formulation of nonlinear electron-hole transport in a quantum well and analysis of the linear transient and steady state

1991 ◽  
Vol 44 (20) ◽  
pp. 11358-11380 ◽  
Author(s):  
Hum Chi Tso ◽  
Norman J. Morgenstern Horing
Author(s):  
W. D. Zhu ◽  
C. D. Mote

Abstract The exact expression describing the constraint force in a constrained translating string is derived using the Green’s function formulation. Discontinuity of the initial velocity at a boundary of the string due to a disturbance causes discontinuity in the constraint force history for any constraint that is not modeled by a single spring element. The discontinuities in the constraint force occur at instants when those propagating wave-fronts in the string with non-vanishing slope interact with the constraint. A model of a magnetic tape-recording head system is analyzed. Tape-head contact loss is predicted, depending on the amplitude and frequency of the disturbance, the head location and the preload of the tape against the head. The transient response to a harmonic end excitation is compared at the steady state to the closed-form prediction of a steady forced analysis.


2019 ◽  
Vol 39 (2) ◽  
pp. 262-271
Author(s):  
Yukan Hou ◽  
Yuan Li ◽  
Yuntian Ge ◽  
Jie Zhang ◽  
Shoushan Jiang

Purpose The purpose of this paper is to present an analytical method for throughput analysis of assembly systems with complex structures during transients. Design/methodology/approach Among the existing studies on the performance evaluation of assembly systems, most focus on the system performance in steady state. Inspired by the transient analysis of serial production lines, the state transition matrix is derived considering the characteristics of merging structure in assembly systems. The system behavior during transients is described by an ergodic Markov chain, with the states being the occupancy of all buffers. The dynamic model for the throughput analysis is solved using the fixed-point theory. Findings This method can be used to predict and evaluate the throughput performance of assembly systems in both transient and steady state. By comparing the model calculation results with the simulation results, this method is proved to be accurate. Originality/value This proposed modeling method can depict the throughput performance of assembly systems in both transient and steady state, whereas most exiting methods can be used for only steady-state analysis. In addition, this method shows the potential for the analysis of complex structured assembly systems owing to the low computational complexity.


1988 ◽  
Vol 53 (22) ◽  
pp. 2205-2207 ◽  
Author(s):  
K. Sadra ◽  
C. M. Maziar ◽  
B. G. Streetman ◽  
D. S. Tang

2000 ◽  
Vol 27 (9) ◽  
pp. 1359-1362 ◽  
Author(s):  
Alan S. Rodger ◽  
Iain J. Coleman ◽  
Mike Pinnock

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