Sentence examples for by the perturbation method from inspiring English sources

The interaction is calculated by the perturbation method.

The analytical solutions are obtained by the perturbation method.

The statistics of the parameters are estimated by the perturbation method and verified by Monte Carlo technique.

The non-linear natural frequencies and free response amplitude for autonomous systems are predicted by the perturbation method.

The results compare well with those obtained by the perturbation method for small Reynolds number and thin fouling layer.

Results of the natural frequencies and mode shapes obtained by the perturbation method are discussed for a thin piezoelectric rectangular plate, a thick plate and a piezoelectric parallelepiped.

Results obtained by using the perturbation method are validated by numerical simulations.

This criterion is obtained for the occurrence of the frost heave process by using the perturbation method in a two-dimensional, coupled heat and mass transfer model.

The equation of motion of the rotor-bearing system is obtained by using the perturbation method and the eigen-solution method is used to determine the stability threshold and critical whirl ratio.

The relationship between nonlinear amplitude and frequency of variable axial load in the presence of the longitudinal magnetic field is derived by using the perturbation method of multiple scales.

By using the perturbation method, we establish the existence of both positive and negative solutions for this system.