Study of the degree of III conditioning of the phase space of pencil-beam radiotherapy using singular value decomposition

1995 ◽  
Vol 6 (1) ◽  
pp. 104-113 ◽  
Author(s):  
D. Lefkopoulos ◽  
P. Grandjean ◽  
A. Laouar ◽  
M. Schlienger
2017 ◽  
Vol 139 (5) ◽  
Author(s):  
Ting Liu ◽  
Guobin Li ◽  
Haijun Wei ◽  
Pengfei Xing

The tribosystem stability in different wear stages was analyzed by the friction vibration energy feature, which was extracted from the phase-space-matrix of friction vibration attractor with singular value decomposition (SVD). An energy feature parameter K of friction vibration was defined as the norm of the singular value feature vector, and the variation of K in different wear stages was also investigated in this paper. Results show that K becomes larger in the running-in wear stage, friction vibration energy becomes higher and tribosystem stability gets worse; K fluctuates smoothly and steadily in the stable wear stage, friction vibration energy is stable and the tribosystem is dynamically stable; and K increases sharply in the severe wear stage, the friction vibration energy increases dramatically and the tribosystem stability decreases greatly. Therefore, the friction vibration energy can reflect the tribosystem stability in different wear stages with the energy feature parameter K.


2017 ◽  
Author(s):  
Ammar Ismael Kadhim ◽  
Yu-N Cheah ◽  
Inaam Abbas Hieder ◽  
Rawaa Ahmed Ali

2020 ◽  
Vol 13 (6) ◽  
pp. 1-10
Author(s):  
ZHOU Wen-zhou ◽  
◽  
FAN Chen ◽  
HU Xiao-ping ◽  
HE Xiao-feng ◽  
...  

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