arXiv subjects

B. R. Nana Nbendjo

Publications and source records attributed to B. R. Nana Nbendjo.

2 recordsLinked to original sources

arXiv2017

Effect of tendon structural control on the appearance of horseshoes chaos on a cantilever beam due to seismic action

This paper deals with the problem of improving the seismic strength of mechanical structures by using a tendon system as actuation device. It consists of a pair of tension cables transmitting a control torque to the structure at the moment arm position. The purpose of the paper is to, establish the analytical framework consisting of mathematical modelling of cantilever beam under active tendon structural control, analyze the stability and, determine the physical characteristics of tendon system leading to the suppression of horseshoes chaos. The control efficiency is found by analyzing the behavior of the controlled system through the Melnikov methods. We also provide the critical control gain parameters leading to the efficiency of the control process.

nlin.CD↗

arXiv2017

Amplitude Stochastic Response of Rayleigh Beams to Randomly Moving Loads

We consider the problem of the nonlinear response of a Rayleigh beam to the passage of a train of forces moving with stochastic velocity. The Fourier transform and the theory of residues is used to estimate the mean-square amplitude of the beam, while the stochastic averaging method gives the stationary probability density function of the oscillations amplitude. The analysis shows that the effect of the load random velocities is highly nonlinear, leading to a nonmonotonic behavior of the mean amplitude versus the intensity of the stochastic term and of the load weight. The analytic approach is also checked with numerical simulations. The effect of loads number on the system response is numerically investigated.

physics.app-ph↗