Sentence examples for by using analytical solutions from inspiring English sources

This paper enables us to express various behavior of the compression wave by using analytical solutions with the phase velocity and the spatial absorption coefficient.

Stress-deformation analyses together with yield zone thickness determination have been carried out by using analytical solutions and numerical analyses by using FLAC3D programme.

Effects of mooring characteristics and structural parameters on dynamic response are discussed based on results obtained by using analytical solutions and finite element analyses.

In this paper, the hydrodynamic performance of a two-concentric-cylindrical-body WEC Wave Energy Converterr) is investigated through a systematic parametric study by using analytical solutions and model tests.

In the FE modeling, the trend for the contact stress to increase as the thickness of the liner decreased (Fig.  8) was consistent with the results obtained by Bartel et al. [ 2] using analytical solutions and FE analysis.

Overall, the IES method provided more robust and accurate vertical flux estimations than those given by the widely used analytical solution-based methods.

The degradation extent was studied by using analytical methods, such as a solution color comparison method, ultraviolet spectrophotometry, and HPLC.

The required training and test data sets have been generated by using the analytical solutions of commonly-used reservoir models.

The solution for piles embedded in layered soils is achieved according to the direct stiffness approach by using the analytical solutions derived for generic pile sections embedded in homogeneous soils.

Additionally, it is possible to predict the degree of increase in capacity by using simplified analytical solutions.

It is also shown that by using the analytical solution 'affected thermal well bore radius' can be estimated.