Tuned Mass Dampers

Tuned Mass Damper (TMD), first introduced by Frahm, is the most popular passive linear vibration absorber utilized in structures, particularly in tall buildings and towers and sometimes in aerospace applications.

“Tuned Mass Damper (TMD), first introduced by Frahm [19], is the most popular passive linear vibration absorber utilized in structures, particularly in tall buildings and towers [20] and sometimes in aerospace applications [21].”

A major bottleneck in optimal active control of large structures with hundreds or thousands of members using distributed actuators and the LQR algorithm is the solution of the complex eigenvalue problem in the Riccati equation and the solution of both open-loop and closed-loop systems of equations.

“A major bottleneck in optimal active control of large structures with hundreds or thousands of members, using distributed actuators and the LQR algorithm, is the solution of the complex eigenvalue problem faced in the solution of the eventuate Riccati equation, as well as the solution of both open loop and closed loop systems of equations.”

Parallel-vector algorithms consistently create constant conclusions for problems of different sizes, while other algorithms show numerical instability for large problems.

“It is shown that the algorithms consistently create constant conclusions for problems of different sizes while other algorithms show numerical instability for large problems.”

The parallel processing efficiency of the parallel-vector algorithms increases with an increase in the size of the problem.

“Further, it is demonstrated that the parallel processing efficiency of the parallel-vector algorithms increases with an increase in the size of the problem.”