Spatially periodic structures are effectively used for sound and vibration mitigation purposes in various technological applications, from composite materials and micro and nano structures to building frames and bridge trusses. One of the important features of such structures is the presence of frequency band-gaps, i.e. frequency ranges in which traveling waves attenuate, with the result that vibration is suppressed. Real periodic structures, however, feature imperfections, e.g. due to manufacturing errors etc., and thus analysis of effects of imperfections on the systems’ responses is of relevance for applications. The objective of the present project is to study these effects, both theoretically and experimentally, for a model periodic structure, e.g. a beam on multiple supports, and get insights on how to account for and reduce possible negative influence of imperfections. The project also aims to reveal dynamic phenomena arising in a model nearly periodic structure that are not deleterious but instead can be useful for applications. The question is, can nearly periodic structures outperform conventional periodic structures?
Experimental testing will be done using conventional vibration measurement techniques, e.g. by getting frequency response functions, etc. Theoretical work implies using dynamics and vibrations theory for simple model structures, e.g. beams and rods.
Undergraduate
Results of the theoretical analysis and experimental testing of a model nearly periodic structure, e.g. a beam on multiple supports.
Estimation of effects of imperfections on the structure dynamic properties, e.g. its frequency band-gaps.
Possible novel phenomena revealed for the model nearly periodic structure.
Basic knowledge of dynamics and vibration theory.
Some experience with the corresponding vibration measurement techniques is advantageous.
Mechatronics PG + Dynamics and Control Lab (201.562, Lab)