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A finite element analysis is then achieved and the numerical results are validated using the analytical predictions.
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Using the analytical model, theoretical predictions of ground surface displacements are compared with experimental data from a dedicated MDPE pipe rig.
Using the analytical model, theoretical predictions of the basic cross-correlation function (BCC) and the GCC PHAT are compared with experimental data from a specially constructed test site in Canada.
The studies are carried out using the analytical method presented for the prediction of ballistic impact behaviour of thick composites in our earlier work [Naik NK, Doshi AV. Ballistic impact behaviour of thick composites: analytical formulation. AIAA J 2005 43 7):152005 43 7
Data shown in Fig. 1 are predictions obtained by using the analytical expression for the mean transmitted incidence of the drug-resistant strains and are expressed as a fraction of the total incidence for both wild-type and drug-resistant strains (see Mathematical Details S1 section 2.3 & 2.4).
Table 2 Prediction of the lateral strength using the analytical approach.
Predictions for the highest 10 values of SCFs using the analytical solutions are within 10% of that by FEA.
However, the incapability of external pressure prediction and over-prediction of peak internal pressure are seen in the realistic scenario by using the analytical approach.
Using the analytical frequency response and the homoclinic orbit characteristics, we have developed an analytical criterion for prediction of the chaos in the resonator.
Finally, two kinds of rods with the cross-sections varying in the exponential and the polynomial forms are used to illustrate the analytical predictions of the propagation characteristics of the longitudinal wave, which are compared with the results from the finite element analysis (FEA) method.
In this section, we present some numerical solutions by using Matlab 7.0 to verify the analytical predictions obtained in the previous section, using the hybrid control strategy to gain control of the Hopf bifurcation of a delayed Lotka-Volterra predator-prey system (1.2).
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