Sentence examples for multiple scales procedure from inspiring English sources

This method is based on the substructure synthesis formulation and a multiple scales procedure, which is applied to the analysis of non-linear responses.

A new method of multiple scales procedure is used to analyze the forced responses of multiple degrees of freedom systems with cubic non-linearity, in which the internal resonance takes place simultaneously together with the forced resonances.

While retaining generality of expression, the multiple-scale procedure is carried out until a closed-form solution for the velocity field is obtained for an arbitrary mean-flow function.

Based on the method of multiple scales, the proposed procedure reduces the size of large-degree-of-freedom problem in solving the non-linear equations.

An approximate solution for this model is obtained via Galérkin procedure and multiple scales method.

An approximate solution for this model is found via Galérkin procedure and the multiple scales method.

The governing displacement equations of motion are established and solved on the basis of the Galerkin procedure and the method of multiple scales.

The method of multiple scales is used to provide a straightforward and computationally convenient procedure for calculating the stability boundaries.

In the first, we discretize the equations of motion using the Galerkin procedure and then apply the method of multiple scales to the resulting system of non-linear ordinary-differential equations to obtain approximate solutions (discretization approach).

This semi-implicit scheme involves multiple pressure variables, large scale differencing and averaging procedures that are discretized versions of standard operations in multiple scales asymptotic analysis.

This procedure allows enhancing the signal-noise to ratio (SNR) by averaging across multiple scales and orientations.