RESPONSE AND DAMAGE PREDICTIONS FOR A LINEAR OSCILLATOR UNDER IMPULSIVE NOISE LOADING
Abstract
Some response statistics of a linear system under impulsive forcing are examined from analytical as well as empirical viewpoints. In particular, the first-order probability density and crest and rise statistics of the response of a single-degree-of-freedom system under Poisson impulsive noise forcing are considered. The failure of all attempts to evaluate the Gram-Charlier series expansion for the response probability density is noted, although from these considerations a convenient recursion relation between the cumulants and the moments of a random process is derived. Simultaneous assumptions of low impulse frequency and high system Q lead to analytical determination of the response crest distributions, which are also verified experimentally. In view of the absence of applicable theory, the rise statistics are examined empirically and compared with the crest statistics obtained under like conditions. Finally, damage rate estimates based upon the aforementioned statistics are obtained; typical calculations predict the damage incurrence for a linear system under Poisson impulsive noise forcing to be most conservative when crest statistics are used and also substantially greater than the worst possible gaussian case.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1966
- Accession Number
- AD0482281
Entities
People
- R. A. Jannssen
- R. F. Lambert
- T. I. Smits
Organizations
- University of Minnesota