Interval process model and non-random vibration analysis

CT 3.2.4 Non-equilibrium Process of the Random Exchange Model

Introduction The last decade has witnessed that random exchange models have been developed in the field of econophysics and applied into various economic issues. This kind of models was proposed to explore the underlying mechanism of wealth distribution or income distribution. Besides static distribution, these models have also been used to study the dynamic characteristics of these systems suc...

Free Vibration Analysis of Functionally Graded Materials Non-uniform Beams

In this article, nonuniformity effects on free vibration analysis of functionally graded beams is discussed. variation in material properties is modeled after Powerlaw and exponential models and the non-uniformity is assumed to be exponentially varying in the width along the beams with constant thickness. Analytical solution is achieved for free vibration with simply supported conditions. It is...

Free Vibration Analysis of Non-Uniform Circular Nanoplate

In this paper, axisymmetric free vibration analysis of a circular Nano-plate having variable thickness was studied. The variation in thickness of plate was considered as a linearly in radial direction. Nonlocal elasticity theory was utilized to take into account size-dependent effects. Ritz functions was utilized to obtain the frequency equations for simply supported and clamped boundary. To ve...

Computing tolerance interval for binomial random variable

Tolerance interval is a random interval that contains a proportion of the population with a determined confidence level and is applied in many application fields such as reliability and quality control. In this educational paper, we investigate different methods for computing tolerance interval for the binomial random variable using the package Tolerance in statistical software R. 

Understanding random Vibration signals