Sentence examples for by method of multiple from inspiring English sources

The paper describes the design of broadband excitation and inversion pulses by method of multiple rotating frame technique.

It is found that stable multi-modal Resultses mareexist in the first-obtainedymptotic solution, even though only one mode is involved in the resonance and no internal resonance condition is present.

The dynamic analysis of the general model is examined by the method of multiple time scales.

The equation of motion is solved by the method of multiple scales (a perturbation method).

Equations of modulation of response amplitude and phase are derived by the method of multiple scales.

An asymptotic solution is developed by the method of multiple time scales.

By the method of multiple scales, the first order asymptotic analysis under 1 2 internal resonance and primary resonance is accomplished.

The subharmonic resonance of simply supported, rectangular laminated plates is investigated by the method of multiple scales.

The Duffing equation is then solved by the method of multiple scales (MMS) to extract the frequency response curve.

An asymptotic solution is developed by the method of multiple time scales and the fourth-order Runge-Kutta method is employed for numerical simulations.

This set of simultaneous differential equations is solved by the method of multiple scales, yielding the system response and expressions for the boundaries of the unstable regions.