Virginia Tech Università di Roma La Sapienza
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Dynamics 2/5 - Internal resonance

 

 

Suppose D = 0; tuning the stiffnesses ratio B/A the corresponding eigenfrequencies of the system are varied; the maximum coupling
corresponds to B = A, where all the eigenvectors have equal electrical and mechanical contents.


Eigenfrequencies versus B/A.

When B = A, then there is a complete energy transformation from mechanical to electrical form.

Consider the system with purely mechanical initial conditions; the plot represents the time-evolutions of the four energies involved:
- blue scales: the elastic and   kinetic energies,
- yellow and green:     the capacitive and inductive energies


 

 

 

The yellow and blu colors correspond to mechanical and electrical contents of the eigenvectors.

 

 

 

 

 

click to animate the figure