Analysis of the power flow in nonlinear oscillators driven by random excitation using the first Wiener kernel

1Citations
Citations of this article
13Readers
Mendeley users who have this article in their library.

Abstract

Random excitation of mechanical systems occurs in a wide variety of structures and, in some applications, calculation of the power dissipated by such a system will be of interest. In this paper, using the Wiener series, a general methodology is developed for calculating the power dissipated by a general nonlinear multi-degree-of freedom oscillatory system excited by random Gaussian base motion of any spectrum. The Wiener series method is most commonly applied to systems with white noise inputs, but can be extended to encompass a general non-white input. From the extended series a simple expression for the power dissipated can be derived in terms of the first term, or kernel, of the series and the spectrum of the input. Calculation of the first kernel can be performed either via numerical simulations or from experimental data and a useful property of the kernel, namely that the integral over its frequency domain representation is proportional to the oscillating mass, is derived. The resulting equations offer a simple conceptual analysis of the power flow in nonlinear randomly excited systems and hence assist the design of any system where power dissipation is a consideration. The results are validated both numerically and experimentally using a base-excited cantilever beam with a nonlinear restoring force produced by magnets.

Cite

CITATION STYLE

APA

Hawes, D. H., & Langley, R. S. (2018). Analysis of the power flow in nonlinear oscillators driven by random excitation using the first Wiener kernel. Journal of Sound and Vibration, 412, 256–269. https://doi.org/10.1016/j.jsv.2017.09.023

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free