in this paper, controlling the gyros with linear plus cubic damping is considered. hence, an adaptive control algorithm is proposed to overcome the uncertainties in model parameters and the chaotic behavior of gyroscopes. it is noted that for general applications dynamic model coefficient of gyros is not precisely determined, on the other hand, with respect to a particular coefficient gyroscope...

This paper introduces an extension of the time-splitting sine-spectral (TSSP) method for solving damped focusing nonlinear Schrödinger equations (NLSs). The method is explicit, unconditionally stable, and time transversal invariant. Moreover, it preserves the exact decay rate for the normalization of the wave function if linear damping terms are added to the NLS. Extensive numerical tests are p...

The objective of this paper is to study the effect of the internal transducer resistance on the dynamic behaviour and the output power of an energy harvester when it is attached to a cubic load resistance. It is seen that by considering the internal resistance, the dynamic equation of a conventional nonlinear energy harvester changes so that it is not easy to separate the linear damping from th...

Considering the impact of the nonlinear stiffness, a 2 DOF dynamic nonlinear vibration model with cubic terms was established according to the structural feature and nonlinear behavior of the tracked ambulance. In the case of primary resonance and 1: 1 internal resonance, multiple scale method was used to obtain a first-order approximate solution for this model. Taking the parameters of the tra...

The method of resonant ultrasonic spectroscopy (RUS) was evaluated for bovine bone and compared with the traditional wave transmission ultrasound method. In RUS, the resonance structure of a cubic or rectangular specimen is scanned. For some low-damping materials, a single measurement yields sufficient resonant frequencies to determine all of the anisotropic elastic constants. Bone has a high v...

A novel class of narrow band filters is presented that offers great rejection of out of band noise and a flat top at the peak. The filter is unconventional, as the output of such a filter is a series of spikes, like the action potential in the auditory nerve. The product of its time and frequency window is less than unity even using 100% output cutoff points. A bank of such filters has been use...

This paper presents the Fourier and wavelet characterization of vibratio...