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To obtain a reduced nonlinear model from nodal space, a standard modal reduction procedure based on matrix operation is developed with essential geometric stiffening nonlinearities retained in the equation of motion.
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It includes the substructuring process (by modal reduction), the friction model, the complex eigenvalues extraction and the substructure contributions calculation.
Considering only a few modes and modal coupling coefficients which have large contributions, the cause of the noise peak can be easily identified and the reduction procedure can be simplified compared with the conventional finite element analysis method.
Nonlinear modal equations are obtained through a modal reduction technique.
A finite element model of the system dynamics in conjunction with modal reduction methods is introduced.
A new model reduction procedure is proposed.
A modal model of the coupled electromechanical structure, obtained by employing a suitable finite-element formulation together with a modal reduction, is used in the controller design.
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.
A complex-based modal reduction is then proposed and an equivalent real representation of the reduced-order system is constructed.
Section 2.2 treats modal reduction to reduce the dimension of the generated models.
Any dimension reduction procedure will unavoidably discard information.
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