A study has been made on the parametric excitation of a nonlinear system with hardening springs. I n the parametric excitation of linear systems, the only subharmonic predicted i s a subharmonic of order 1/2. However, i n the parametric excitation of nonlinear systems, i t i s shown th I ? higher order subharmonics can exist, depending both on the amplitude and frequency of the parametric excit...

In this paper, nonlinear implicit finite element analyses are used to explore parametric excitation of a bridge stay cable resulting from cyclic motion of the deck. “Parametric excitation” is excitation of a cable mode with deck motion at near twice the frequency of the excited mode. Third-mode parametric frequency response curves are consistently predicted when the finite element mesh is suffi...

The phenomenon of parametric resonance is explained and investigated both analytically and with the help of a computer simulation. Parametric excitation is studied for the example of the rotary oscillations of a simple linear system— mechanical torsion spring pendulum excited by periodic variations of its moment of inertia. Conditions and characteristics of parametric resonance and regeneration...

In this work the equations of motion of a Solid State Wave Gyroscope (SWG) with rotary thin cylindrical shell resonator is analyzed using the shell and plates elasticity theory. The gyroscope conversion factor found in this analytical study corresponds with the experimental results obtained and listed in the References. The function of the SWG to measure the angular velocity or the rotating ang...

in this paper, chaotic motion analysis and its control for a non-planar non-linear cantilever beam with axial and lateral parametric excitation in the free end is accomplished. this is a new method for control of chaotic motion of a non-linear planar beam. in this survey, internal resonance of the beam is 2:1 and the initial resonance is in the outside of plane and it is assumed a sub-resonance...