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Although in analytical model, the modal parameters are independent of applied dynamic force as a computational parameter and depend on stiffness, mass, and damping.

The autoregressive moving average (ARMA) method is used to model the modal time functions, and together with POD, enables major compression of the original data to be achieved.

Dynamic governing equations are derived by combining the 5-dof maglev vehicle model, the modal properties of guideway structures and a LQG controller for electromagnetic suspension.

In the numerical model, the modal eigenvector equation of the VLFS with some discrete Mindlin plate elements are obtained by using the finite element method (FEM), whereas the boundary element method (BEM) is applied to solve the water wave equation.

In order to do so, a stated preference survey is undertaken to model the modal choice between door-to-door road transport and short sea shipping in the Motorway of the Sea of south-west Europe.

Therefore, in this quasi-exitonic DDE model, the modal gain g i in the gain section is calculated following the equation: {g}_i={varGamma}_x{varGamma}_y{g}_{0_i}left({rho}_i^e+{rho}_i^h-1right),;left(i=mathrm{G}mathrm{S},;mathrm{E}mathrm{S}right) (1).

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According to model-theoretic actualism, the notion of an intended* Tarski model is all that is needed for modeling the modal facts.

Based on such a probabilistic model and on the analysis of peculiar non-dimensional parameters, a spectral model for the modal force induced by pedestrian groups, modeled as a stationary random process, is analytically deduced under suitable simplifying assumptions.

Then, the Timoshenko beam model is considered to construct the mathematical model for the modal frequency ambient condition relationship.

An approximate model for the modal density of extruded panels is developed and this is verified using an FE model.

In nonlinear dynamic analyses, the detailed structural model subjected to a ground-motion record produces estimates of component deformations for each degree of freedom in the model and the modal responses are combined using schemes such as the sum of squares square root.

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