Numerical Analysis Tool for Obtaining Steady-State Solutions and Analyzing Their Stability Characteristics for Nonlinear Dynamic Systems

2010 ◽  
Vol 43 (4) ◽  
pp. 394-400 ◽  
Author(s):  
Hang-Zhou Wang ◽  
Bing-Zhen Chen ◽  
Xiao-Rong He ◽  
Jin-Song Zhao ◽  
Tong Qiu
Keyword(s):  
Steady State ◽  
Numerical Analysis ◽  
Dynamic Systems ◽  
Nonlinear Dynamic ◽  
Nonlinear Dynamic Systems ◽  
Analysis Tool ◽  
Steady State Solutions

scholarly journals An Alternating Frequency/Time Domain Method for Calculating the Steady-State Response of Nonlinear Dynamic Systems

1989 ◽  
Vol 56 (1) ◽  
pp. 149-154 ◽  
Author(s):  
T. M. Cameron ◽  
J. H. Griffin
Keyword(s):  
Steady State ◽  
Frequency Domain ◽  
Dynamic Systems ◽  
Time Domain ◽  
Nonlinear Dynamic ◽  
Nonlinear Dynamic Systems ◽  
System Response ◽  
Steady State Response ◽  
State Response ◽  
The Time Domain

A method is proposed for analyzing the steady-state response of nonlinear dynamic systems. The method iterates to obtain the discrete Fourier transform of the system response, returning to the time domain at each iteration to take advantage of the ease in evaluating nonlinearities there—rather than analytically describing the nonlinear terms in the frequency domain. The updated estimates of the nonlinear terms are transformed back into the frequency domain in order to continue iterating on the frequency spectrum of the steady-state response. The method is demonstrated by solving a problem with friction damping in which the excitation has multiple discrete frequencies.

Recovery of State Vector of Nonlinear Dynamic Systems

2007 ◽  
Vol 39 (9) ◽  
pp. 1-15
Author(s):  
Vsevold M. Kuntsevich
Keyword(s):  
Dynamic Systems ◽  
Nonlinear Dynamic ◽  
State Vector ◽  
Nonlinear Dynamic Systems
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