ANALYSIS OF A FORCED STRONGLY NON-LINEAR TWO-DEGREE-OF-FREEDOM SYSTEM BY MEANS OF THE POWER-SERIES METHOD

2001 ◽  
Vol 241 (4) ◽  
pp. 635-642
Author(s):  
M.I. QAISI ◽  
M. ABU-HILAL
Keyword(s):  
Power Series ◽  
Degree Of Freedom ◽  
Series Method ◽  
Power Series Method ◽  
Non Linear ◽  
Two Degree Of Freedom

Non-linear torsional oscillation of a two-degree-of-freedom system incorporating a Hooke joint

1964 ◽  
Vol 277 (1368) ◽  
pp. 92-106 ◽  
Keyword(s):  
Large Amplitude ◽  
Critical Speed ◽  
Torsional Oscillation ◽  
Degree Of Freedom ◽  
Non Linear ◽  
Two Degree Of Freedom

The non-linear torsional oscillation of the system is analyzed by means of a variant of Kryloff and Bogoliuboff’s method. It is shown that each mode of the system can perform oscillations of large amplitude in a number of critical speed ranges, and that hysteresis effects and discontinuous jumps in amplitude are to be expected in these speed ranges if the damping is light.

The Scope of the Power Series Method

2013 ◽  
Vol 86 (1) ◽  
pp. 56-62
Author(s):  
Richard Beals
Keyword(s):  
Power Series ◽  
Series Method ◽  
Power Series Method
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