ANALOG AND DIGITAL COMPUTER ANALYSIS OF THE RANDOMLY EXCITED DUFFING EQUATION.
Abstract
Analog and digital computer techniques are used to measure the autocorrelation of the low frequency response of the non-linear Duffing equation excited by Gaussian white noise. An analog computer was used to simulate the Duffing equation, to create the time delay by simulating a modified form of the Pade Approximation, and to calculate the autocorrelation. The autocorrelation and power spectrum were calculated on a digital computer using the output from the Duffing equation simulated on the analog computer. The autocorrelation results are presented graphically. The autocorrelation was determined for two values of input noise voltage level, for under-damped and over-damped cases, and for values of the coefficient of the non-linear term B, of 0,0.01, 0.1, 1.0, and 10.0. The mean square value of the response is reduced in amplitude and the autocorrelation curve approaches the zero axis at a faster rate when either the input noise voltage level or the value of B is increased. A comparison of the measured and theoretical values when B is equal to zero show the analog computer results to be very accurate and the digital computer results to be less accurate. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1965
- Accession Number
- AD0622697
Entities
People
- Gene Darwin Bowling
Organizations
- Air Force Institute of Technology