Sentence examples for analytical formulation as from inspiring English sources

The deformation and the stresses inside the layers are presented for various material parameters employing both the developed analytical formulation as well as the finite element method.

In other words, the boundary conditions which are neglected in Eq.  3 become more and more relevant in a manner which would best be covered by simulations and not by analytical formulations as the one given by Odijk [ 48].

The proposed analytical framework can be considered as an analytical formulation of the existing approach based on historical directional wind speed data, but with an additional capability of accounting for the uncertainty of extreme response conditional on wind speed and direction.

For the moment, as the analytical formulation of the SINR loss for the tensorial approach is not available, it will be evaluated using Monte Carlo simulations.

The model relates the peak wavelength of light scattered by an individual plasmonic nanoparticle to the number of bound analyte molecules and provides an analytical formulation that predicts relevant figures-of-merit of the sensor such as the molecular detection limit (MDL) and dynamic range as a function of nanoparticle geometry and detection system parameters.

Then, an analytical formulation of postbuckling and buckling vibration is derived as a function of the external compressive axial load.

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 is derived to calculate the defect density as a function of the H-implantation dose and the temperature.

One application of the present study is for the design of future high energy density alkali batteries using graphene sheets as anodes for which an analytical formulation might greatly facilitate rapid computational results.

An analytical formulation is proposed for total HTR value which depends on thermal interaction coefficient as well as spacing and number of BHE (N).

An analytical formulation for cam profiles has been proposed and discussed as a function of size parameters for design purposes.