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 75
- Downloads 0
Dynamic Thermogravimetric Analysis of Recycled Carbon Fiber Composites: Mini Review
Thermogravimetric analysis (TGA) is one of the most popular analysis techniques to study the decomposition process of polymeric materials in controlled atmospheres at various temperatures. In this review, dynamic TGA was...
Porosity Influenced on Prediction of Enterobacter Transport in Heterogeneous Sand Graved Depositions
Porosity variation was observed to established high predominant heterogeneous concentration in this study, this condition was monitored on development of derived model to monitor the transport to phreatic depositions, su...
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...
Finite Element Analysis and Calculation of Normal Section Bearing Capacity of Steel Tube Bundle Composite Shear Wall
To be a new type of building component, composite shear wall with steel tubes bundle has been widely used in the steel structure housing system as the development of prefabricated construction. In this paper, ABAQUS has...
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...