Damped frequency response apparatus, systems, and methods

Apparatus, systems, and methods are disclosed to solve an equation associated with a structure of the form {-omega2MR+iomegaBR+[(1+igamma)KR+i(K4R)]}Y=FR, wherein omega is a time-harmonic excitation frequency, MR is a reduced form of a symmetric mass matrix M, BR is a reduced form of a viscous dampi...

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1. Verfasser: BENNIGHOF JEFFREY K
Format: Patent
Sprache:eng
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Zusammenfassung:Apparatus, systems, and methods are disclosed to solve an equation associated with a structure of the form {-omega2MR+iomegaBR+[(1+igamma)KR+i(K4R)]}Y=FR, wherein omega is a time-harmonic excitation frequency, MR is a reduced form of a symmetric mass matrix M, BR is a reduced form of a viscous damping matrix B, gamma is a scalar global structural damping coefficient, KR is a reduced form of a symmetric stiffness matrix K, K4R is a reduced form of a symmetric structural damping matrix K4 representing local departures from gamma, FR is a reduced form of a matrix F, and Y is a matrix having a plurality of vectors corresponding to the plurality of load vectors acting on the structure and included in the matrix F.