Sentence examples for frequency formulation from inspiring English sources

It is based on a frequency formulation of the Sines' fatigue criterion, adapted according to Pitoiset and Preumont works [1].

3709, Aeronautical Research Council, 1972] and its generalization to broadband noise due to Cheong et al. [High frequency formulation for the acoustic power spectrum due to cascade turbulence interaction. Journal of the Acoustical Society of America 119 (2006) 119–119].

We present a comparative study between the energy balance method and amplitude-frequency formulation with exact solution.

To illustrate the accuracy of the energy balance method and amplitude-frequency formulation, we presented a comparative study between the analytical approximate techniques with exact solution.

Open image in new window Figure 3 Comparison of energy balance method and amplitude-frequency formulation with exact solution when A = 1, λ = 0.5.

In this paper, we investigated and applied two of the analytical approximate techniques, energy balance method and amplitude-frequency formulation, for solving the strongly nonlinear differential equation of a mass attached to the center of a stretched elastic wire.

Some of these techniques include perturbation method (PM) [5, 6], variational iteration method [7, 8], homotopy perturbation method (HPM) [9, 10, 11, 12], energy balance method [13, 14, 15, 16, 17], variational approach method [18, 19, 20], parameter-expansion method [21, 22, 23, 24], amplitude-frequency formulation [25, 26, 27], iteration perturbation method [28, 29], etc.

This system oscillates between symmetric bounds [−A, A], and its angular frequency and corresponding periodic solution are dependent on the amplitude A. In this paper, our main purpose is to present a comparative study between the energy balance method and amplitude-frequency formulation with exact solution.

In this paper, we investigate two of the analytical approximate techniques, energy balance method and amplitude-frequency formulation, and these approximate techniques are applied to solve the strongly nonlinear differential equation of a mass attached to the center of a stretched elastic wire.

To illustrate the accuracy of the energy balance method and amplitude-frequency formulation, we present the comparison results of analytical approximate techniques with exact solution in Tables 1, 2, 3 and 4 and Figures 2, 3, 4 and 5 for different values of λ.

In this paper, we investigate two of the analytical approximate techniques, energy balance method and amplitude-frequency formulation, and these approximate techniques are applied to solve the strongly nonlinear differential equation of a mass attached to the center of a stretched elastic wire (Figure 1).