Sentence examples for by the analytical method from inspiring English sources

The maximum plane-normal displacement is obtained by the analytical method and numerical approach.

The simulated ES logging waveforms approximately agree with those obtained by the analytical method.

The transmission loss calculated by the analytical method agrees closely with the result of the finite element method simulation.

Finally, the base shear and the overturning moment, calculated by the analytical method and proposed mechanical model, are compared with those suggested by ACI 350.3-06.

NMM simulations of two-phase flow in a single fracture, intersection, and fracture network are illustrated graphically and validated by the analytical method or the finite element method.

It is proved here that the market concentration corresponding to operation condition is certainly viable in an interval calculated by the analytical method.

The inner thermal barrier cylinder is solved by the finite difference method, and the outer cylindrical shell is solved by using the analytical method.

Figures 18 and 19 allow for determining an appropriate K value by adjusting the analytical method of Marston for stopes of various geometries and backfills having various geomechanical parameter values.

In this paper, a novel approach is proposed to solve the problem directly by using the cutting patterns obtained by the analytical methods at the mathematical modeling stage.

In order to verify the analysis results, strains and accelerations in the time domain by the analytical methods were compared with those by a test.

The reaction's products, gel structure and microstructure at different hydration times were analysed by the analytical methods XRD, FTIR and SEM.