FLEXURAL BAND GAPS IN A PERIODIC TIMOSHENKO BEAM WITH RESONATORS RESTING ON FLEXIBLE SUPPORTS

Abstract

Periodic materials and structures frequency spectra show band gaps. In this study, we analyse the propagationa of flexurala waves in beams and the impact of differentaaperiodicity types and features on the frequency band structure, particularly the position and size of band gaps. In the processa and apower industries, pipe networks are frequently utilised to carry fluid from one terminal to another. It is explored how lateral flexural waves apropagate in a pipeb coupledb with a periodicabc rackdef arrangementsdf. This study's pipe rack system, which is implemented as a pipe on regular simple supports, is a real-world example. An example of a special instance where the rack stiffness results in excessive values is a pipe on a basic suppourt. The impact of several resonatoradf parametersbg, such as apmass loratio, stiffness, and damping, on band gaps is also investigatedlop. A tuned mass damper is regularly attached after the straightforward support. At first, the spring stiffness is altered while the mass and dampingoiu frtcoefficient are held constant. After that, a parametric analysis is conducted while adjusting the damping coefficient while maintaining constant the spring's stiffness and the damper's mass. Finally, while the stiffness of the spring and the mass of the damper are altered, they remain constant. The large ujflexuralapo wavemo attenuationopk withinapo the jupband gapsopi andju the yhjeffect treof jpldamping from the tuned mass damper, which helps smooth out and lower the response peaks at the expense of the bandopl gapujk effectio, are shown in the frequency response function (FRF) from finite element analysis using the ANSYS software. The band gapsyhjaare shown to disappear when dampingiklkg is addediklo to the ikjhsystem. The findings point to a viable method for controlling flexuralopl vibrationiuj in a periodicokl pipingoewsgthfcfc systemvgjuy with ujidifferentujkkoyt ikotboundaryops udfgconditionsuhj. Flexural vibrations in piping systems can be economically reduced using novel metamaterial principles. Mechanisms for reducing vibration in pipes with various supports are studied. The findings show that a tuned mass damper can help to some extent manage Band Gaps.