“…These parameters aid in the identi cation of natural frequencies, resonances, and potential modes of vibration within a system. Furthermore, vibration analysis plays a pivotal role in predictive maintenance strategies, allowing for the early detection of mechanical issues before they escalate into critical failures [57][58][59][60][61][62][63][64][65][66][67][68][69][70][71][72][73][74][75].The methodologies within vibration analysis range from simple manual assessments to sophisticated computational techniques. This eld incorporates various sensors, such as accelerometers, to capture vibrational data, and analytical tools, including Fast Fourier Transform (FFT) and modal analysis, to process and interpret this data [76][77][78][79][80][81][82][83][84][85].By understanding the vibrational characteristics of systems, researchers and practitioners can make informed decisions about design, maintenance, and optimization, ultimately contributing to the reliability, safety, and e ciency of mechanical structures and machinery.…”