Comments on "On limit cycles and the describing function method in periodically switched circuits"

1996 ◽  
Vol 43 (3) ◽  
pp. 250-252
Author(s):  
E.N. Shafik
Keyword(s):  
Limit Cycles ◽  
Function Method ◽  
Describing Function ◽  
Describing Function Method ◽  
Switched Circuits

Application and Verification of Describing Function Method in Solving the Hunting Limit Cycles for Railway Vehicle

2011 ◽  
Vol 66-68 ◽  
pp. 1657-1662
Author(s):  
Chun Lei Hong ◽  
Yue Geng ◽  
Yong Sheng Hu
Keyword(s):  
Limit Cycles ◽  
Function Method ◽  
Degrees Of Freedom ◽  
Engineering Application ◽  
Railway Vehicle ◽  
Describing Function ◽  
Vehicle Model ◽  
Strongly Nonlinear ◽  
Practical Engineering ◽  
Describing Function Method

It is presented to solve the hunting limit cycles of railway system with multiple degrees of freedom and strongly nonlinear factors by describing function method(DFM). A nonlinear railway vehicle model with several dry friction factors is developed, and the 16 nonlinear transcendental equations of it are deduced using DFM. The modal characteristics of the hunting limit cycle for the vehicle model are obtained by the software programmed to solve complicated equation set. To verify the accuracy of describing function method, the hunting limit cycles of the model are simulated in time domain, and the results from these two methods have good consistence. This shows that the limit cycles of nonlinear rail vehicle systems with strongly nonlinear factors can be solved with high accuracy and efficiency by DFM, which of value in practical engineering application.

Sign in / Sign up

Export Citation Format

Share Document