Abstract
Abstract
Based on the symplectic eigensolution and the pseudo-excitation method, the localization of structural chains subjected to stationary random point excitation is investigated. The stiffness, mass and the hysteretic damping distributions are all continuously variable. The cause of the displacement and internal force localization is explained in terms of the symplectic eigenvalues and eigenvectors of a typical substructure of the structural chain. When duplicate symplectic eigenvalues occur, the degeneration of the stopband as well as the corresponding degeneration of the mode localization phenomenon are discussed.
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