Solving the Non-Damped Oscillatory Problem with Random Loading Conditions using WHE Technique
Journal Title: Global Journal of Engineering Sciences - Year 2019, Vol 2, Issue 4
Abstract
The spectral techniques for solving the stochastic differential equations (SDEs) are efficient compared with other techniques. They can be used to obtain analytical solutions specially in case of linear SDEs. Among which, the Wiener-Hermite expansion (WHE) and the Winer Chaos expansion (WCE) are the most common. WHE is more efficient as it depends directly on a basis that is directly dependent on the noise process. It can be used efficiently when the SDE is forced by additive and/or multiplicative noise. In the current work, WHE is used to analyze the stochastic non-damped oscillatory equation. The corresponding deterministic system is obtained, and solution techniques are suggested and compared. The solution statistics are computed in analytical formulae and compared for different parameters. The efficiency of WHE is outlined as a reliable technique that can be used for any order of approximation in linear and nonlinear SDEs.
Authors and Affiliations
Amnah S Al Juhani
Keywords
Related Articles
- EP ID EP609256
- DOI 10.33552/GJES.2019.02.000544
- Views 66
- Downloads 0
Technological Characterization of Bigadic Boron Works Waste Clay: A Case Report
The aim of this study is to characterize the technical properties of Bigadic Boron Works Waste Clay (BWC) fired at various temperatures. For this purpose, the clay sample was first characterized by chemical and X-ray dif...
Darcy Convection Anisotropic Problem with Multi Stability of Stationary Motions for Rectangle
Based on the Darcy model, fluid convection in a porous rectangle is analyzed taking into account anisotropy of thermal characteristics and permeability. Relations between parameters for which the problem belongs to the c...
On the Role of Saffman Force in Inertial Microfluidics
In this brief review article, the effects of Saffman force in inertial microfluidics-based systems are discussed and investigated. A short discussion regarding the applications of microfluidics, especially inertial micro...
Investigation of Shock-Boundary Layer Interaction in a Ramp Flow with MVG Under Different Turbulent Inflows
MVG (micro vortex generator) is a potentially new device which can alleviate or overcome the adverse effects of SBLI (Shockboundary layer interaction) and improve the “health” of the boundary layer. In this paper, the SB...
Importance of Technology Acceptance Assessment for Successful Implementation and Development of New Technologies
It is significant to note that user acceptance and confidence are crucial for further development of any new technology [1,2]. Businesses have facilitated or planning to facilitate their business platform to increase per...