Because replicability is an important part of every scientific endeavor, this research deals with comparing and contrasting parameter estimates, standard errors, p-values from the estimation five commonly encountered nonlinear models in applied econometrics. Commonplace software packages indigenous to econometrics statistics are used, namely EVIEWS 11.0, SAS 9.4, Stata 17, R 4.1.2 replication e...

This study focuses on characterizing the fatigue damage accumulated in nonlinear aeroelastic systems subjected to stochastic inflows through both numerical simulations and wind tunnel experiments. In mathematical model, nonlinearities are assumed exist either structure (via a cubic hardening nonlinearity pitch stiffness), or flow dynamic stall condition), simultaneously structural aerodynamic c...

This paper presents the stability and robustness analyses of uncertain nonlinear control systems. TO proceed with the analysis, the uncertain nonlinear system is represented by a fuzzy model with uncertainties. Based on this model, under a single-grid-point (SGP) approach, a fuzzy controller is designed to close the feedback loop. A simple stability criterion is derived by estimating the norm o...

this paper presents a mathematical model for the vibration analysis of a three-component piezoelectric force sensor. the cubic theory of weakly nonlinear electroelasticity is applied to the model for describing the electromechanical coupling effect in the piezoelectric sensing elements which operate in thickness-shear and thickness-stretch vibration modes. hamilton's principle is used to d...

This paper investigates the design and analysis of a novel energy harvesting device that uses magnetic levitation to produce an oscillator with a tunable resonance. The governing equations for the mechanical and electrical domains are derived to show the designed system reduces to the form of a Duffing oscillator under both static and dynamic loads. Thus, nonlinear analyses are required to inve...