Lumped Parameter Model For Optimum Design Of Planar Resonators To Be Integrated In Metastructures For Suppressing Longitudinal Vibrations

Unnecessary and uncontrolled vibration can be damaging to buildings,precision instruments,electronics,and other engineering equipment.Tuned vibration absorbers have long been applied as a mean to suppress vibration.Although they are easy to operate and effective,a significant drawback can not be ignored,which is their limited effective frequency bandwidth.Recent research have mainly focused on development of solutions to effectively suppress passive vibration in a wider frequency range,as a result,metastructures emerged as required.Metastructures consist of local resonators tuned to a specific frequency which are distributed within the structure functioning as distributed vibration absorbers.In many engineering applications,such as automobile and aerospace industry,it is not allowed to assemble the resonator directly into the structure as this will greatly increase the quality of the whole structure,so the resonator must be integrated into the original structure members.Considering the dimensional constraints set by the cross-sectional geometric shape and size of the structural member,the design and integration of local resonators into structural members is a highly worthwhile research project.In this research,only the case of longitudinal vibration is considered.On the premise of no additional mass,planar resonators are being modeled,designed,built and tested for use in metastructures for suppression of longitudinal vibrations.A lumped parameter model for designing and optimizing planar resonators is derived in this study,which is more efficient computationally than traditional finite element models.The developed model is validated by comparing its predictions with the simulated results of the finite element models.Experiments have been conducted to verify the results of the developed lumped parameter model and the finite element models,the results of which show that the relative errors between them are low and within acceptable range.This document proves that the proposed lumped parameter model could be applied for design and optimization of planar resonators with zig-zag elastic elements reasonably and efficiently.