Dynamic Load Vectors for Localization of Mass and Stiffness Perturbations

Martin Dalgaard Ulriksen

Research output: Contribution to journalJournal articleResearchpeer-review


The well-established Dynamic Damage Locating Vector (DDLV) method offers localization of structural damage through a linear transformation of the null vectors of the transfer matrix change or, in the stochastic case of unknown input, a surrogate hereof. The null vectors are referred to as DDLVs, and it has been previously shown how applying these as loads to the structural domain will result in zero steady-state strain in any subdomain containing stiffness perturbations. The present paper explores the use of DDLVs for localization of mass-related damage and proves that any mass perturbation will, upon application of the DDLVs, be confined to the subdomain exhibiting zero steady-state motion. Since the strain field is realized from a surjective linear transformation of the displacement field, the DDLVs allow for localization of both mass- and stiffness-related damage without adding computational complexity to the existing procedures. The paper outlines the interrogation scheme for both damage types and demonstrates the basic principles through numerical and experimental examples.
Original languageEnglish
JournalMechanical Systems and Signal Processing
Publication statusE-pub ahead of print - 2022


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