Titlebook: Advances in the Theory of System Decoupling; Rubens Gonçalves Salsa Junior,Fai Ma Book 2021 Springer Nature Switzerland AG 2021 Linear sys

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Linear Systems and Configuration-Space Decoupling Techniquesupling techniques. Coordinate decoupling is the process of simultaneously diagonalizing the coefficient matrices of a dynamical system. The main objective of this chapter is to provide an overview of configuration-space decoupling techniques. Three decoupling algorithms are provided and eleven examples are supplemented.

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César Fernández-de-las-Peñas,Kimberly Bensenystem. This process of decoupling the equation of motion of a dynamical system is the time-honored procedure termed modal analysis. In general, damping is not classical and thus passive linear systems cannot be decoupled by modal analysis. This chapter shows how classical modal analysis can be exten

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Decoupling of Linear Systems by Phase Synchronizationositive-definiteness. Systems possessing distinct, repeated, or defective eigenvalues are addressed. An algorithm for decoupling via phase synchronization is provided. Seven examples are supplied for illustration.

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Selected Applicationsons include: computation of invariant of motion, derivation of a canonical form of the equation of motion, characterization of oscillatory behavior in free vibration and modal reduction of a system under base excitation. Several illustrative examples are supplied for theoretical developments.