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 H 2 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. [ABSTRACT FROM AUTHOR]