In the paper the design of an optimal tuned mass damper (TMD) for a structure subjected to second order coloured noise excitation is investigated in order to minimize the sum of response mean squares of components of the primary system with a given ranking priority. | Vietnam Journal of Mechanics, NCST of Vietnam Vol. 25, 2003, No 2 (65 - 76) A SELECTION OF PARAMETERS OF TUNED MASS DAMPER FOR MULTI-DEGREE-OF-FREEDOM SYSTEMS SUBJECTED TO SECOND ORDER COLOURED NOISE EXCITATION NGUYEN DONG ANH 1 AND NGUYEN CHI 8ANG 2 1 2 Institute of Mechanic Hanoi Research Institute of Mechanical Engineering ABSTRACT. Among the fundamental concepts for structure control, passive control systems have a significant role since they do not require additional energies produced by actuator. The basic of passive control is to incorporate a secondary system into the primary structure in order to transfer a part of the vibration energy of the primary system int o the secondary one. In the paper the design of an optimal tuned mass damper (TMD) for a structure subjected to second order coloured noise excitation is investigated in order to minimize the sum of response mean squares of components of the primary system with a · given ranking priority. 1. Introduction Under environmental loading structures and machines may produc:e large undesired vibrations, which can reflect into their quality and durability. The use of tuned mass dampers (TMD) helps to reduce the undesired vibrations in the primary system. A single form of TMD for structures and machines was first studied by Frahm (1909) for a single-degree-of-freedom system without damping in both the main and TMD systems. Then the theory of undamped and damped dynamic absorbers in the absence of damping in the main system was studied by Den Hartog (1928). In his study, the basic principle and procedure for proper selection of absorber parameters were developed. The influent of light damping in the main system was investigated by Ioi and Ikeda (1978) by using numerical tools to determine the optimum values of natural frequency as well as damping ratio of TMD . The set of optimum parameters of TMD such as frequency ratio, damping ratio for specified values of the mass ratio and the main system damping .
