Affiliations: Department of Mechanics and Aeronautics, University of
Rome, Rome, Italy
Note: [] Corresponding author: A. Carcaterra, Department of Mechanics and
Aeronautics, University of Rome, 'La Sapienza', Via Eudossiana, 18, 00184,
Rome, Italy. E-mail: a.carcaterra@dma.ing.uniroma1.it
Abstract: This paper presents a novel approach to the study of shock in
elastic structures. An energy storage property for linear elastic
non-dissipative structures is demonstrated, then extrapolated also to damped
systems. This property relates locations of energy accumulation along the
structure to the form of its stiffness and mass matrices. This result can be
profitable used at a design stage of complex structures undergoing shock
excitations. On the theoretical ground, the obtained results disclose indeed
general properties of energy distribution in dynamical systems with
implications on energy localization as well as on energy equipartitioning.
Finally, these findings open a new point of view on energy transmission in
structures, with potential application in the context of Statistical Energy
Analysis.
Keywords: Shock response, energy flow analysis, localization, equipartitioning, Statistical Energy Analysis
