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DINAME2019
DINAME2019
Dynamics of a linear oscillator in the presence of stochastic stiffness using Itô formulation
Submission Author:
Daniel de Moraes Lobo , RJ
Co-Authors:
Daniel de Moraes Lobo, Thiago Ritto, DANIEL CASTELLO
Presenter: Daniel de Moraes Lobo
doi://10.26678/ABCM.DINAME2019.DIN2019-0038
Abstract
In many engineering applications, there are uncertainties associated to system parameters and the statistics of system response are often of interest. These uncertainties are usually modeled as random variables that do not vary in time. This work focus on a different approach, where the random variables varies within time through a stochastic process. This work proposes the introduction of a different stochastic variable into the internal frequency of a single degree-of-freedom system. The stochastic variable is modeled by a stochastic process called Brownian Bridge. The system is also subjected to an harmonic excitation and the equations of motion are expressed using Itô stochastic differential equations. The system of equations is numerically integrated using Euler-Maruyama method. Finally, the system response is analyzed for one simulation in time and frequency domain and the statistics of the response are analyzed for a wide variety of excitation frequencies. It is concluded that the influence of uncertainties depends on the difference between excitation frequency and the natural frequency of the system.
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