Uncertainty Analysis and Optimization of Quasi-Zero Stiffness Air Suspension Based on Polynomial Chaos Method

Uncertainty quantification and apportionment in air quality models using the polynomial chaos method

Simulations of large-scale physical systems are often affected by the uncertainties in data, in model parameters, and by incomplete knowledge of the underlying physics. The traditional deterministic simulations do not account for such uncertainties. It is of interest to extend simulation results with “error bars” that quantify the degree of uncertainty. This added information provides a confide...

Distributional uncertainty analysis using power series and polynomial chaos expansions

This paper provides an overview of computationally efficient approaches for quantifying the influence of parameter uncertainties on the states and outputs of nonlinear dynamical systems with finite-time control trajectories, focusing primarily on computing probability distributions. The advantages and disadvantages of various uncertainty analysis approaches, which use approximate representation...

Uncertainty Analysis for Parametric Roll Using Non-intrusive Polynomial Chaos

In this paper, uncertainty analysis is carried out on both a simple parametric roll model which can be modeled as a Mathieu equation and a 1.5 degree-of-freedom parametric roll model in regular seas. For both cases, the uncertainty is brought into the system due to the error in predicting the damping coefficients. The non-intrusive polynomial chaos method has been used to assess how the paramet...

Zero Dynamics of Siso Quasi-polynomial Systems

Uncertainty Propagation in Puff-based Dispersion Models Using Polynomial Chaos

Atmospheric dispersion is a complex nonlinear physical process with numerous uncertainties in model parameters, inputs, source parameters, initial and boundary conditions. Accurate propagation of these uncertainties through the dispersion models is crucial for a reliable prediction of the probability distribution of the states and assessment of risk. A simple three-dimensional Gaussian puff-bas...