Minimization of the Primary Structure Response Under Random Excitation Using High-Performance Passive Tuned Mass Damper Ineter Control Configurations

Purpose Two passive tuned mass damper inerter control configurations TMDI-I and TMDI-II are used in this paper to minimize the response of the primary structure under random force excitation. Methods TMDIs are attached to an undamped primary structure under random force excitation; after obtaining the mathematical model via the Newton second law of motion, the dimensionless frequency response function of the primary structure is found considering harmonic input excitation; then, the H2 optimization criterion is performed and the optimum design parameters for the proposed TMDIs are found based on the algebraic procedures and the computer softwares. Results and Conclusion The results of this study reveals that, with respect to high-performance NTMDI-C4 and classic TMD, respectively, the proposed tuned mass dampers inerter (TMDIs), reduce significantly (1) the means square response of the primary structure: More than 52% and 61% improvement can be obtained from TMDI-II, and 47% and 57% from TMDI-I; in the case of harmonic excitation (2) the peaks resonance amplitude of the primary structure: A recorded improvement more than 38% and 54% can be obtained from TMDI-II, and 34% and 51% from TMDI-I. And (3) broadening the vibration suppression bandwidth: The maximum suppression bandwidth is found to be 49% and 64% from TMDI-I, and 47% and 63% from TMDI-II. These results provide the novel passive design of TMDIs for engineering practice.