Employing these numerical values, the approximating functions (response surfaces) for all eigenfrequencies
were obtained with the correlation coefficients c=98 %.
of a tube bundle placed in a confined fluid, Comput.
[omega] are resulted from following matrix equation:
The two layer beams are chosen for the reason of quite high ratio between their first and second eigenfrequencies
It is well known: if a specimen is square, it has duplex eigenfrequencies
By the algorithm of eigenvalue problem eigenfrequencies
for systems are sorted in the ascending order; thereby the sequences of eigenforms change.
If the array of resonators is actuated by any signal so only those resonators will start to vibrate which eigenfrequencies
are equal to frequencies compound in an input signal.
When solving the problems of piezoactuators dynamics for high precision microrobots where repeated calculations with higher eigenfrequencies
are involved, it is proposed to modify the general algorithm introducing the stage of determining eigenforms with the help of domination coefficients .
In this model, the spectrum of eigenfrequencies
of a chain system of many proton harmonic oscillators is given by a continuous fraction equation :
In order to evaluate the modal shapes and the eigenfrequencies
of a cantilever beam with a tip proof mass (Fig.
Consequently, Muller calculates the spectrum of eigenfrequencies
of a chain system of many proton harmonic oscillators according to a continued fraction equation 
occurring in the assembled instrument do not correspond to the eigenfrequency of the separate parts of the guitar, aspect noticed by Bader (2005) too.