Sentence examples for the analytical formulation from inspiring English sources

The two-dimensional half-plane problem is formulated using the Fourier integral transform method and the analytical formulation of the contact problem is reduced to a Cauchy-type singular integral equation of the second kind for the unknown contact pressure.

Simulation results for a specific example demonstrate the reasonableness of the analytical formulation.

Section 3 presents the analytical formulation of the problem and the algorithm of the proposed approach.

The analytical formulation of the ECR is based on a mathematical derivation with high accuracy.

The analytical formulation applies to monolithic glass and to plies of laminated glass or insulating glass.

This paper presents the analytical formulation of the proposed approach, whose validation follows in part II.

A purely numerical approach is compared with the analytical formulations.

Using the obtained experimental results, the performance of the analytical formulations proposed by ACI, fib and Italian guidelines is appraised.

The agreement between the analytical formulations and the numerical method is excellent for both stationary and moving observer cases.

CFD simulations confirm the formulations, and the discrepancies between the analytical and CFD results have been attributed to the ignored factors during the analytical formulations.

The analytical formulations are developed by Fourier transforms and the resulting singular integral equations are solved by using Chebyshev polynomials.