In our everyday life, we usually employ computations to process meaningful symbols, in order to extract information from them.
A general method for the control of linear time-periodic systems employing symbolic computation of Floquet transition matrix is considered in this work.
In this paper, by employing the computation of the fixed point index for asymptotically linear operators, the existence of positive solutions, negative solutions, and sign-changing solutions for asymptotically linear operator equations are established.
To convert files into a common format used as input by software for computation, the Calc package by LibreOffice (Libre Office 4, free from The Document Foundation, Germany) was employed; statistic computation was carried out by WinIdams (free by Unesco, FR), with MVSP (by Kowak Co., UK) and with Prof. Brereton's add-in for Excel for multivariate analysis (free by Bristol Chemometrics, UK).
We employ both computation and approximate analytical approaches.
A semi-analytical method was employed for computation of the stress intensity factors (SIF).
The FEM software NASTRAN is employed for computation of the structural vibration.
Predominant criteria (e.g., land use, land cover, soil type, geomorphology, geology, elevation, slope, rainfall, normalized difference vegetation index, drainage density, recharge rate, groundwater depth) were employed for computation of groundwater potential index.
The equilibrium/compatibility method, which is a semi-analytical post-processing method, is employed for computation of hitherto unavailable through-thickness variation of interlaminar (transverse) shear stresses in the vicinity of the bi-layer interface circumferential re-entrant corner line of an internal part-through circular cylindrical hole weakening an edge-loaded laminated composite plate.
In this article, we also employ the computation method but we do not detail it any longer due to the limited space.
