Sentence examples for classes of vibrations from inspiring English sources

For free vibrations of multilayered piezoelastic spherical shells, it is shown that there are two separated classes of vibrations.

Two different classes of vibrations are found.

Two classes of frequency equations, which correspond to two classes of vibrations, respectively, are then obtained.

Frequency equations corresponding to two independent classes of vibrations are finally obtained from the free surface conditions.

It can be shown that for the first class of vibration there is no effect of the frequencies whether fluid exists outside or not.

Parallel controls are necessary to eliminate the effects of vibrations.

Wu et al. in [6] studied the periodic solutions for a class of damped vibration problems.

In this article, we establish the new result on homoclinic orbits for a class of damped vibration systems.

In this study, a prototype of a class of QZS vibration isolator having the proposed mechanism is produced.

We study the existence of nontrivial ground state homoclinic orbits for this class of damped vibration problems under some conditions weaker than those previously assumed.

In this paper, we present a new approach via variational methods and critical point theory to obtain the existence and multiplicity of solutions to a class of damped vibration problems with impulsive effects on time scales.