Vibration Suppression Based On The Tuned Mass Damper Technology

The vibration problem exists in all kinds of dynamic systems,which is the inherent characteristic of the system.Therefore,the research of the vibration problem has a general significance.From the points of the working principle of the vibration suppression technologies,it can be divided into two categories:(1)Tuned Mass Damper(TMD);(2)Base-Isolation.TMD system,which is a passive vibration suppression method,is composed of spring,mass and damper.Its simple structure,easy installation,structural model diversity,high performance of the vibration suppression,make it become popular in different areas,such as the machinery,aerospace,construction,civil engineering and so on.In this dissertation,the single TMD design based on the Single-Degree-of-Freedom(SDOF)main structures under different excitation conditions will be compared and analyzed.The optimization parameters of the TMD system under different excitation(harmonic and random excitation)are obtained on the basis of the Sequence Quadratic Programming(SQP)optimization algorithm,and then compared with the classical TMD optimization theory.The validity of the established optimal design procedure has been verified tough the ANSYS model.Based on the above,the kinds of modification of the classic TMD design scheme will be established: Multiple Cumulative TMD(CTMD)and the Distributed TMD(DTMD).The optimal design parameters of TMD are obtained based on the SQP optimization algorithm,and the dynamic response characteristics are compared.The results show that comparing with the traditional TMD system,both the CTMD and DTMD systems are able to improve the vibration suppression performance effectively,increase the effective bandwidth and have stable(sensitivity of the design parameters).Furthermore,The TMD design technologies have alse been extended to the main structures with the rotational DOF.The effectiveness of the TMD design has also verified based on the illustrated examples.Moreover,in this dissertation the DTMD technology has been applied to the continuum type structures(Timoshenko beam).The partial differential equation of motion of the Timoshenko beam with the attached DTMD system has been derived based on the Extended-Hamilton principle.And then the Finite Element Method(FEM)has been adapted to slove the established partial differential equation of motion to obtain the equation of motion in the matrix form.The modal response has been obtained based on the modal shape to the original Timoshenko beam.Then the SQP optimization methodologies were applied to obtain the optimal design parameters of the DTMD system based on the design mode of the main structures.The validity of the proposed methodology has been verified through the illustrated examples,in which the modal response comparison has been presented for the main structure with the single TMD design,DTMD design and the sensitivity analysis of the optimal TMD system.This dissertation established a general procedure for the optimal TMD system on the basis of the typical discrete main system and continuity mian system.The presented design scheme can be easily extended to different types of main structures.