Theory, model, and applications of non-Gaussian probability density functions for random jitter/noise with non-white power spectral densities

2013 ◽  
Author(s):  
Daniel Chow ◽  
Masashi Shimanouchi ◽  
Mike Peng Li
Keyword(s):  
Probability Density ◽  
Theory Model ◽  
Probability Density Functions ◽  
Density Functions ◽  
Spectral Densities ◽  
Power Spectral ◽  
Power Spectral Densities ◽  
Random Jitter ◽  
Non Gaussian

Transient Structure and Radiation Properties of Strongly Radiating Buoyant Flames

1992 ◽  
Vol 114 (3) ◽  
pp. 659-665 ◽  
Author(s):  
Y. R. Sivathanu ◽  
J. P. Gore
Keyword(s):  
Probability Density ◽  
Probability Density Functions ◽  
Density Functions ◽  
Spectral Densities ◽  
Spectral Radiation ◽  
Volume Fractions ◽  
Power Spectral ◽  
Radiation Properties ◽  
Power Spectral Densities ◽  
Instantaneous Temperature

Measurements of instantaneous temperature and soot volume fractions based on absorption and emission in highly buoyant turbulent acetylene/air and propylene/air flames are reported. These measurements are used to predict mean, rms, probability density functions, and power spectral densities of spectral radiation intensities along a representative horizontal chord in the flame. The results show the presence of large quantities of relatively cold soot in the vicinity of smaller amounts of hot soot particles. The resulting inhomogeneity in the temperature of soot in the flame leads to negative cross correlations between temperature and soot volume fractions. The treatment of such correlations was found necessary for predicting the observed probability density functions and the power spectral densities of spectral radiation intensities.

Non-Gaussian clutter characterization applied to OTHR using a mixture of two Rayleigh probability density functions

2009 ◽  
Vol 44 (6) ◽  
pp. 663-666
Author(s):  
Steven C. Gustafson ◽  
Evan A. James ◽  
Andrew J. Terzuoli ◽  
Lindsay N. Weidenhammer ◽  
Rod I. Barnes
Keyword(s):  
Probability Density ◽  
Probability Density Functions ◽  
Density Functions ◽  
Non Gaussian

The Effects of Cylinder Liner Finish on Piston Ring-Pack Friction

2004 ◽  
Author(s):  
Jeffrey Jocsak ◽  
Victor W. Wong ◽  
Tian Tian
Keyword(s):  
Surface Roughness ◽  
Probability Density ◽  
Piston Ring ◽  
Cylinder Liner ◽  
Probability Density Functions ◽  
Density Functions ◽  
Asperity Contact ◽  
Piston Ring Pack ◽  
Ring Pack ◽  
Non Gaussian

This paper presents enhancements to a previously developed mixed-lubrication ring-pack model that has been used extensively in the automotive industry in predicting piston-ring/liner oil film thickness, friction and oil-transport processes along the liner. The previous model considers three lubrication regimes, shear thinning of the lubricant, and the unsteady wetting conditions of the rings at the leading and trailing edges. The model incorporates the effects of surface roughness by using Patir and Cheng’s average flow model and the Greenwood and Tripp statistical asperity contact model, assuming a Gaussian distribution of surface roughness. However, as a result of the methods used to machine a cylinder liner and the wear-in process observed in engines, the cylinder liner finish is highly non-Gaussian. The purpose of this current study is to understand the effects of additional surface parameters other than Gaussian root-mean-square surface roughness on piston ring-pack friction in the context of a natural gas reciprocating engine ring/liner interface. In general, the surface roughness of a cylinder liner is negatively skewed. Applying similar methodology published in the literature, a wide variety of non-Gaussian probability density functions were generated in terms of the skewness of the cylinder liner surface. These probability density functions were implemented into the Greenwood and Tripp asperity contact model, and subsequently into the traditional MIT ring-pack friction model. The effects of surface skewness on flow were approximated using Gaussian flow factors and a simple truncation method. The enhanced model was studied in conjunction with results from an existing ring-pack dynamic model that provided the dynamic twists of the rings relative to the liner and inter-ring pressures. In this manner, a detailed analysis of the effects of engineered cylinder liner finish on reducing friction losses was performed.

Feedback Control of Stochastic Systems to Track Prespecified Probability Density Functions

2005 ◽  
Author(s):  
Ozer Elbeyli ◽  
J. Q. Sun
Keyword(s):  
Probability Density ◽  
Stochastic Systems ◽  
Control Design ◽  
Probability Density Functions ◽  
Density Functions ◽  
Moment Equations ◽  
Feedback Controls ◽  
The Moment ◽  
Non Gaussian ◽  
Probability Density Function Pdf

We present a study of feedback controls of stochastic systems to track a prespecified probability density function (PDF). The moment equations of the response are used in the control design to illustrate the underlining issues. A hierarchical approach is proposed to design the control for tracking Gaussian and non-Gaussian PDFs. The control design approach is demonstrated with a simple example.

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