ANALYSIS OF THE RESPONSE OF A NONLINEAR DIFFERENTIAL EQUATION TO WHITE RANDOM EXCITATION.
Abstract
The response of the nonlinear equation d(dx/dt)dta dx/dt(1-x-sq-d(x-sq)/dt) + x = n(t) to white noise excitation is determined experimentally for three values of a and three noise levels associated with each value of a. The response data is presented in terms of power spectral density, cumulative probability distribution, and phase plane trajectories. The power spectral density analysis of the data was made with a heterodyne wave analyzer and the results are presented in graphical and tabular form. The mean power spectral density is plotted and the standard deviation of the ensemble is calculated at each frequency of measurement as an indication of the statistical uncertainty. A statistical analyzer was used to plot the normalized cumulative probability distributions of the data samples. Phase plane trajectories are likewise pictured for each parameter change.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1965
- Accession Number
- AD0624842
Entities
People
- Marion A. Minnelli
Organizations
- Air Force Institute of Technology