scholarly journals Non-Linear Periodic and Quasi-Periodic Vibrations in Mechanical Systems - On the use of the Harmonic Balance Methods

10.5772/15638 ◽  
2011 ◽  
Author(s):  
Emmanuelle Sarrouy ◽  
Jean-Jacques Sinou
Keyword(s):  
Harmonic Balance ◽  
Mechanical Systems ◽  
Non Linear

Non-linear two-frequency analysis of SIS mixers through harmonic balance

2002 ◽  
Vol 12 (3) ◽  
pp. 165-168
Author(s):  
S. Withington ◽  
P. Kittara ◽  
G. Yassin
Keyword(s):  
Frequency Analysis ◽  
Harmonic Balance ◽  
Non Linear

Finding Periodic Solutions of Forced Systems With Local Nonlinearities: A Mixed Shooting Harmonic Balance Method

2015 ◽  
Author(s):  
Frederic Schreyer ◽  
Remco Leine
Keyword(s):  
Dynamical Systems ◽  
Periodic Solutions ◽  
Harmonic Balance ◽  
Shooting Method ◽  
Mechanical Systems ◽  
Harmonic Balance Method ◽  
Nonlinear Effects ◽  
Balance Method ◽  
Pros And Cons ◽  
Numerical Approaches

Several numerical approaches have been developed to capture nonlinear effects of dynamical systems. In this paper we present a mixed shooting-harmonic balance method to solve large mechanical systems with local nonlinearities efficiently. The Harmonic Balance Method as well as the shooting method have both their pros and cons. The proposed mixed shooting-HBM approach combines the efficiency of HBM and the accuracy of the shooting method and has therefore advantages of both.

Non-linear Dynamics of Structures and Mechanical Systems

2006 ◽  
Vol 84 (24-25) ◽  
pp. 1561-1564
Author(s):  
P. Ribeiro ◽  
B.H.V. Topping ◽  
C.A. Mota Soares
Keyword(s):  
Mechanical Systems ◽  
Linear Dynamics ◽  
Non Linear
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