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It includes the substructuring process (by modal reduction), the friction model, the complex eigenvalues extraction and the substructure contributions calculation.
In the modal reduction, the dynamic condensation matrix is directly computed from the eigenvector matrix of full model.
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The modal reduction takes the possibilities of the numerical controller used into account, and the resulting effects on control and observance are studied.
Theoretical background of the proposed method is provided, which is based on the modal reduction of the magnetic force excitation by a set of amplitude-modulated standing-waves.
As for any type of modal reduction scheme, the quality of the reduced-order solution is dictated by the modal basis selection.
Finite element modelling and classical modal reduction in the mathematical basis of the controlled modes are used for the state model.
The Component Mode Synthesis approach is based on the Craig Bampton modal reduction of the interior unit cell degrees of freedom and provides a basis to reduce the Bloch eigenproblem dimension allowing for a fast computation of the complex band structures.
The original formulation of BMS includes a modal reduction of the boundary that must be recomputed for every wave vector.
The modal reduction method using the structural modes is adopted to reduce the finite element equations into a set of modal equations with fewer degrees of freedom.
Meanwhile, a static correction is included in the modal reduction to take the effects of truncated higher aerodynamic modes into account.
Section 2.2 treats modal reduction to reduce the dimension of the generated models.
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