Subharmonic Oscillations of a Prestressed Circular Plate

The Buckling of a Prestressed Circular Plate*

Subharmonic Oscillations of Forced Pendulum-Type Equations

where f is periodic with minimal period T and mean value zero. We have in mind as a particular case the pendulum equation, where g(x) = A sin x. First results on the existence of subharmonic orbits in a neighborhood of a given periodic motion were obtained by Birkhoff and Lewis (cf. [3] and [ 143) by perturbation-type techniques. Rabinowitz [ 151 was able to prove the existence of subharmonic s...

Analytical Prediction of Subharmonic Oscillations in a Ferroresonant Circuit

Ferroresonance is a nonlinear oscillatory phenomenon that occurs in capacitively coupled transformers or reactors under certain conditions. In this paper, an averaging method is utilized to compute the domain in 2-D parameter space where subharmonic (period -3) ferroresonant oscillations could persist. The accuracy of the analytical results is verified using numerical simulations and the power ...

Chaotic motion of a bimetallic circular plate

Considering the effect of geometric nonlinearity and uniformly distributed time-varying temperature, the bifurcation behaviors and chaotic phenomena of a bimetallic thin circular plate are investigated. First of all, the nonlinear dynamic equation for bimetallic plate is established and further reduced to Duffing equation of harmonic parametric excitation, from which the pitchfork bifurcation p...

Volterra Frequency Response Functions Analysis of Subharmonic Oscillations from Bubble

Subharmonic images are becoming interestingly in medical ultrasound, as the improvement of contrastto-tissue ratio (CTR). However, an important part for image enhancement is processing techniques. In this study, frequency response functions (FRFs) of multiple-input-multiple-output (MIMO) Volterra systems were used to investigate potentially possible in separating subharmonic frequency for the q...