Sentence examples for analytical formulation to from inspiring English sources
An efficient analytical formulation to perform the sensitivity analysis is formulated using the developed finite element force method, and then utilized in the SQP formulation as the gradient information.
An analytical formulation to obtain the derivatives of the objective functions with respect to the lamination parameters is presented.
An analytical formulation to compute a magnetic field generated from an uniformly magnetized cylinder ferromagnet is developed.
To facilitate engineering applications, this study develops an analytical formulation to estimate the hot-spot energy indicator based on the notch stress intensity factors and Williams' solution.
Since an analytical formulation to evaluate the EMD performance is not available, using well-known signals allows for a better insight into the process.
In this paper, we derive an exact analytical formulation to quantify the uncertainties in homogenized properties due to uncertainty in the experimentally measured pole figures.
In engineering practice different design methods tend to be used, varying from simple empirical and analytical formulations to advanced finite element analyses.
To this aim, analytical formulations to predict the flexural overstrength factor (s) of steel beams with a wide range of cross-section typologies (I and H sections, square and rectangular hollow sections) were developed based on gene expression programming (GEP).
In the paper is proposed the combination of a FE model of the complete structure with Rivet Elements and the introduction of suitable analytical formulations to evaluate stress concentration factors, starting from the values of loads on rivets.
It should be noted that the negative correlation between GL and TS may be related to the analytical formulation used to compute TS (see Materials and Methods) because genes with high expression levels in one or a few tissues (i.e., high PE) will often, but not always, have high TS as well.
The analytical formulation applies to monolithic glass and to plies of laminated glass or insulating glass.
