Tuned tandem mass dampers-inerters with broadband high effectiveness for structures under white noise base excitations

Abstract

Summary By integrating the tuned tandem mass dampers (TTMD) with two inerters, the tuned tandem mass dampers‐inerters (TTMDI) with high effectiveness and wide frequency spacing (i.e., high robustness) have been proposed in this paper. It is expected that the frequency spacing of the TTMDI will be comparable with that of the multiple tuned mass dampers. In order to reveal the fundamental performance of the TTMDI, it is attached to a single degree of freedom (SDOF) structure under random Gaussian white noise base excitations. Closed‐form expressions for calculating the dimensionless displacement variances are thereupon derived for the SDOF structure–TTMDI system. The optimization criterion is determined as the minimization of the dimensionless displacement variances. Employing the gradient‐based optimization technique, the effects of varying the key parameters on the performance of the TTMDI are scrutinized in order to probe into its superiority. Evaluation of the performance of the TTMDI includes that of its effectiveness, strokes, stiffness, damping coefficient, distributions of the inertance coefficients, frequency spacing, and frequency response of the controlled structure. For purposes of further comparison, the optimum results of the TTMD and tuned mass damper‐inerter (TMDI) are also included into consideration. Results clearly demonstrate that the TTMDI outperforms both the TTMD and TMDI because of several advantages, particularly high effectiveness and broadband characteristics. Therefore, the TTMDI is deemed to be a broadband high effectiveness control device. Furthermore, the TTMDI only needs a linking dashpot and is capable of decentralizing a large inertance coefficient, thus showing its simplicity and easier implementation.

Damping enhancement principle of inerter system

“…1,2 Many studies have been conducted to propose various device and structural control approaches in order to reduce the vibration response produced by earthquakes, wind, etc. [3][4][5][6][7] As a recently introduced mechanical element for structural control, the inerter has attracted an increasing amount of attention and has been studied in different fields, from the improved suspension system in mechanical [8][9][10][11][12] and railway engineering 13,14 to the protection of building structures, [15][16][17][18][19][20][21][22][23][24][25] storage tanks, [26][27][28] wind turbine towers, 29,30 platforms, 31 and performanceimproved cables [32][33][34][35] and isolation systems [36][37][38][39][40][41][42][43][44][45] in civil engineering. An inerter is a type of two-terminal inertia element, and its relative motion can be produced between the two termi...…”

Structural health monitoring of a 250‐m super‐tall building and operational modal analysis using the fast Bayesian FFT method

“…Modal parameters including natural frequency, damping ratio, and mode shape are the basic dynamic characteristics of structures that can reflect structural changes . Although these parameters can be obtained by numerical analysis or scaled laboratory experiments, errors from measurement, modeling, and numerical calculation always exist .…”

A novel rotational inertia damper for heave motion suppression of semisubmersible platform in the shallow sea

“…Hu and Chen proposed installing inerter‐based device in the nacelle of the offshore wind turbine to control wind‐ and wave‐induced vibrations of the tower. It should be noted that, similar to that in the TMD system, optimization should be applied to make these inerter‐based devices effective; a considerable amount of research efforts were also made on the optimal design and configuration of these inerter‐based control systems based on the different performance indicators, for example, the H 2 performance, H ∞ performance, and reliability criteria.…”