Sentence examples for two solution techniques from inspiring English sources

Two solution techniques including a hybrid Fourier series expansion Galerkin finite element approach and a fully finite element method based on the Ritz approach are introduced to solve the governing equations of equilibrium.

It is found that the dynamic response oscillates about the quasi-static response in all cases, and that, in general, the variance in stress magnitudes between the two solution techniques is significant.

For this purpose, two solution techniques, a series solution method and a perturbation solution, are given and the effects of motor characteristics on the behavior of the drive shaft are examined.

Two solution techniques are developed to promote efficiency, namely (1) generating the initial guesses by minimizing freshwater consumption rate of the nominal network structure, and (2) incorporating the smoothing functions to eliminate the binary variables in the MINLP model.

Three solution techniques for such models are analyzed: mathematical programming, a branch and bound method, and genetic algorithms.

When assessing the three solution techniques we hypothesize that the effect of strain rate on strength for the concrete target does not adversely affect the prediction on the maximum depth of penetration and the radial stress time response of the concrete target.

Two groups of eight symmetric solution techniques are proposed in this paper for non-associated plasticity problems using the total and plastic work done as scalar measures to adapt their tangent matrices for symmetric solvers.

The present work shows that a general procedure for calculating stresses due to contact loading can be obtained by combining two previous solution techniques.

Based on this finding, two fast solution techniques are developed for the energy response of the system, and are validated by numerical examples.

In this paper, two efficient solution techniques, viz., the matrix condensation technique and the transfer matrix technique, are presented in conjunction with the substructuring principle for reducing these requirements substantially.

Three numerical solution techniques for nonlinear eardrum-type oscillations with an even function in the restoring force are studied.