scholarly journals A KIND OF SINGULAR PERTURBATION METHOD FOR SOLVING THE BOLTZMANN EQUATION WITH SMALL KNUDSEN NUMBER

1984 ◽  
Vol 33 (5) ◽  
pp. 722
Author(s):  
DING E-JIANG ◽  
HUANG ZU-QIA
Keyword(s):  
Boltzmann Equation ◽  
Singular Perturbation ◽  
Perturbation Method ◽  
Knudsen Number ◽  
Singular Perturbation Method ◽  
The Boltzmann Equation

Singular Perturbation Method for Solving Non-Linear Vibration of Stay Cable (I) - Theory Research

2011 ◽  
Vol 147 ◽  
pp. 112-116
Author(s):  
Zhi Hong Ran ◽  
Jun Tong Qu ◽  
Fei He ◽  
Sheng Miao
Keyword(s):  
Singular Perturbation ◽  
Perturbation Method ◽  
Stay Cable ◽  
Linear Vibration ◽  
Singular Perturbation Method ◽  
Cable Structure ◽  
Non Linear ◽  
Cable Force ◽  
Set Up ◽  
Theory Research

In order to solve the difficult in calculating cable vibration, the non-linear dynamic model of cable was set up with geometrical non-linearity. The differential equation was solved using the singular perturbation method. The analytical expression of frequency and form function was deduced. The expression can be widely used for the field of measurement of cable force and identification of parameter in cable structure.

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