Classical Tuned Mass Damper Research Articles

Damage-aware structural control based on reinforcement learning

This contribution presents a semi-active control technique intended for mitigation of structural vibrations. The control law is derived in a repeated trial-and-error interaction between the control agent and a simulated environment. The experience-based training approach is used which is the defining feature of the machine learning techniques of reinforcement learning (RL). In particular, a specific modification of the Deep Q Learning (DQN) approach is applied. The involved artificial neural network not only approximates the expected reward of the control (which defines the control action and quantifies its performance), but additionally keeps track of structural damages. This requires a specific architecture, which allows the network to be damage-aware, and a specific training procedure, where the memory pool preserved for the RL stage of experience replay is populated with not only the observations, control actions, and rewards, but also with the momentary status of structural damage. Such an approach explicitly promotes the damage-awareness of the control agent. The proposed technique is tested and verified in a numerical example of a shear-type building model subjected to a seismic excitation. A tuned mass damper (TMD) with a controllable level of viscous damping is used to implement the semi-active actuation, and the optimally tuned classical TMD provides the reference response.

Vibration control for a semi-submersible floating offshore wind turbine with optimal ultra-low frequency electromagnetic tuned inerter-mass dampers

The platform of a semi-submersible floating offshore wind turbine is prone to large ultra-low frequency pitch motion in a complex marine environment. To address this problem, this study proposes the application of multiple ultra-low frequency electromagnetic tuned inerter-mass dampers (UF-ETIMDs) inside the offset columns to mitigate the pitch motion of the platform. An UF-ETIMD is achieved by replacing the viscous damping of the classical tuned mass damper (TMD) with an electromagnetic inerter damper in series with a tuning spring, which will tune the inerter's resonant frequency. A constant-force spring is added in parallel with the main spring to neutralize the gravity force of the mass damper that can effectively reduce static elongation of the main spring while tuning the resonant frequency of the mass to ultra-low frequency of the pitch motion. Thus UF-ETIMDs can achieve a double-tuned electromagnetic damping system to enhance the vibration mitigation performance of the platform. The parametric optimization of the UF-ETIMDs is conducted based on the H∞ optimization criteria, whose target is to minimize the peak value of platform pitch in the frequency domain. To analyze the performance of the UF-ETIMD on the semi-submersible FOWT, a 20-degree-of-freedom (DOF) analytical model has been developed for the semi-submersible FOWT coupled with three UF-ETIMDs, retrofittable inside the platform. The performance of the UF-ETIMDs is examined and compared with the classical TMDs under different combinations of wind and wave loadings and in both operational and parked conditions. Results found that UF-ETIMDs can achieve a better performance than TMDs in mitigating the platform pitch of the semi-submersible FOWT. The potential powers in the UF-ETIMDs system that could be converted from vibrations to usable electricity are also examined.

Piezoelectric-shunt-based approach for multi-mode adaptive tuned mass dampers

This paper deals with the design and development of a multi-frequency adaptive tuned mass damper based on a cantilever beam equipped with shunted piezoelectric elements. It is demonstrated that the device is able to independently shift a number of eigenfrequencies equal to the number of piezoelectric elements and that the use of negative capacitances is able to strongly improve the adaptation capability of the device. Mathematical formulations are provided for linking the values of the capacitances used for shunting the piezoelectric elements and the resulting shifts of the eigenfrequencies, and vice versa. Furthermore, being the negative capacitances based on operational amplifiers, the stability of the electro-mechanical system is investigated, giving rules about the tuning of these negative capacitances. The resulting adaptive tuned mass damper can be fruitfully employed for lowering vibrations of a primary system whose eigenfrequencies undergo different frequency shifts, improving the robustness to possible mistuning of non-adaptive classical tuned mass dampers. All the theoretical outcomes are validated through an experimental campaign with a cantilever beam equipped with two piezoelectric patches.

A novel tuned mass damper inerter: optimal design, effectiveness comparison, and robustness investigation

This study proposes a novel tuned mass damper inerter (NTMDI) by altering the position of the damping element in tuned mass damper inerter (TMDI) or adding an inerter element to a variant tuned mass damper (VTMD). The proposed NTMDI can be regarded as a more general case of tuned viscous mass damper. A detailed mechanical model for a single-degree-of-freedom (SDOF) structure with NTMDI is introduced, and the optimal design of NTMDI is derived theoretically based on fixed-point theory. Analytical solutions for NTMDI optimal design, including the optimal frequency ratio and damping ratio, as well as the optimal dynamic amplification factor of the structure, are obtained. Then, considering three types of loads: including harmonic excitation, white noise excitation and natural seismic excitation, the effectiveness of NTMDI for vibration control was evaluated by comparing it with three other classical tuned mass dampers (TMD, VTMD, and TMDI). The results demonstrate that adding inertance to TMD and VTMD can significantly improve their effectiveness in mitigating structural responses. Additionally, it is found that NTMDI is more efficient in reducing structural responses than TMDI and the frequency range controlled by NTMDI is wider than that controlled by TMDI when the tuned physical mass and inertance of NTMDI are identical to those of TMDI. Finally, a series of robustness investigations are carried out, and NTMDI exhibits superior robustness to TMDI in situations where positive tuning occurs in the optimal frequency ratio. However, in cases where negative tuning is present, TMDI outperforms NTMDI. Fortunately, TMD, VTMD, TMDI, and NTMDI demonstrate excellent robustness in terms of damping.

Implementation of Inerter-Based Dynamic Vibration Absorber for Chatter Suppression

AbstractChatter is one of the major issues that cause undesirable effects limiting machining productivity. Passive control devices, such as tuned mass dampers (TMDs), have been widely employed to increase machining stability by suppressing chatter. More recently, inerter-based devices have been developed for a wide variety of engineering vibration mitigation applications. However, no experimental study for the application of inerters to the machining stability problem has yet been conducted. This article presents an implementation of an inerter-based dynamic vibration absorber (IDVA) to the problem of chatter stability, for the first time. For this, it employs the IDVA with a pivoted-bar inerter developed in the study by Dogan et al. (2022, “Design, Testing and Analysis of a Pivoted-Bar Inerter Device Used as a Vibration Absorber, Mechanical Systems and Signal Processing,” 171, p. 108893) to mitigate the chatter effect under cutting forces in milling. Due to the nature of machining stability, the optimal design parameters for the IDVA are numerically obtained by considering the real part of the frequency response function (FRF), which enables the absolute stability limit in a single degree-of-freedom (SDOF) to be maximized for a milling operation. Chatter performance is experimentally validated through milling trials using the prototype IDVA and a flexible workpiece. The experimental results show that the IDVA provides more than 15% improvement in the absolute stability limit compared to a classical TMD.

Optimum parameters of variant tuned mass damper using equal eigenvalue criterion

AbstractIn this study, optimum parameters of a variant tuned mass damper (V‐TMD) wherein, damper is connected to the ground are obtained using equal eigenvalue (EEV) criterion. In EEV, TMD parameters are obtained by equating eigenvalues of two modes. By equating eigenvalues, the modal damping ratios (i.e., negative real part of the eigenvalue) become equal and maximum in two modes. This optimum condition is achieved by finding the roots of a sixth order polynomial. One of the novel findings is regarding the existence of two sets of optimum parameters, out of which, one set matches exactly with one of the earlier study. Regions in which, single and two sets of optimum parameters exist, are clearly brought out. Performance of V‐TMD is demonstrated for harmonic as well as earthquake excitation. It is noted that displacement as well as acceleration of the main system reduces due to V‐TMD. Another significant finding is that the real part of eigenvalues of V‐TMD is larger than that of classical tuned mass damper (C‐TMD), which leads to faster decay of earthquake response and lower peak response. The optimum parameters obtained in this study, pertain to linear SDOF and V‐TMD.

Performance-based optimization of nonlinear Friction-Folded PTMDs of structures subjected to stochastic excitation

Alternative Tuned Mass Damper (TMD) configurations have been proposed in the literature for performance improvement and maintenance, mainly modifying their restoring force or dissipation mechanisms. In this context, Folded-Pendulum TMDs (FPTMDs) are appealing for tuning low-frequency structures because they are compact and easy to retune while avoiding sliding mechanisms. In turn, Friction Dampers (FDs) are equally attractive due to their minimal maintenance and easy desired capacity adjustment. Nevertheless, despite recent advances in integrating FDs with PTMDs, a comprehensive literature survey reveals that Reliability-Based Design Optimization (RBDO) studies for PTMDs or Folded-PTMDs with FDs cannot be found to the best of the authors’ knowledge. Hence, the present paper aims at performing an original RBDO of single and multiple Friction-Folded-PTMDs in buildings subjected to stochastic excitation. Unlike the existing optimization studies in this field, a complete nonlinear description (dry friction plus large rotations) is employed because the considered applications involve high-intensity excitations, like wind and seismic loading. Finally, scenarios with multiple absorbers are included due to their associated performance and constructional advantages. Optimal design of multiple Folded-PTMDs with FDs has not yet been addressed, as they increase the optimization problem complexity leading to multimodal and convex objective functions. Accordingly, an active-learning Kriging-based Efficient Global Optimization (EGO) procedure is used, which allows for finding the optimum solutions with only a few objective function evaluations. The application cases to two distinct buildings subject to wind and seismic loadings show that using Friction-FPTMDs allows for obtaining a control strategy with an appropriate performance while ensuring practical advantages over classical TMDs.

An improved passive tuned mass damper assisted by dual stiffness

A tuned mass damper (TMD) is one of the oldest and most commonly used passive control devices attached to structures to absorb lateral loads of energy from main systems. In the last decades, several novel tuned mass dampers have been designed to increase the performance of TMDs in decreasing the structural responses during excitation vibrations. Moreover, several formulations and numerical optimization methods have been developed to optimize the TMDs parameters. This paper proposes a novel passive tuned mass damper with dual stiffness (DSTMD). The DSTMD includes mass, primary and secondary springs, dashpot, and motion limiting chamber. The performance of DSTMDs depends on their properties such as mass, primary and secondary stiffness, damping coefficient, and the length of the motion limiting chamber. Thus, a metaheuristic optimization algorithm, called the Mouth Brooding Fish algorithm, was used to optimize the DSTMDs parameters. The effectiveness of the optimum DSTMD on two different linear ten-story structures under several earthquakes has been studied and compared with the effectiveness of classical optimum TMDs. According to the study, optimum DSTMDs generally show better effects for certain excitations, and as an average performance, they are superior compared to the classical optimum TMDs in reducing maximum displacement of the buildings. At last, structural yielding is considered, and the performance analysis on this structure shows that the DSTMD has a superior effect in reducing the maximum displacement and is among the best methods for the calculated absolute yielding amount.

Passive Control by Inverted Pendulum of a Floating Offshore Wind Turbine

Floating offshore wind turbines (FOWTs) are slender structures that are sensitive to hazardous conditions, mainly to winds. Wind action can cause undesirable vibrations that may affect safety and operability. These vibrations can be controlled in numerous ways through passive, active, semiactive or hybrid control. An example of passive control is a tuned mass damper (TMD) that dissipates mechanical energy from the main system when well-tuned to the structure. An inverted pendulum is a device that can be used as a TMD that vibrates out of phase in relation to the main system, reducing the vibrations in comparison to a classical TMD. This work describes a procedure for controlling a FOWT, which is subjected to wind actions, using a proposed tuned mass damper by means of an inverted pendulum (TMD-IP). TMD-IP is evaluated by two specific metrics: tower peak rotation and tower variance rotation. Optimization of the parameters of the inverted pendulum achieved reductions of approximately 95% for the rotation of the tower and the translation of the barge when a harmonic excitation is applied. Using the Monte Carlo method, random wind loading is applied to the FOWT; the reduction in the tower rotation is approximately 70%, and the reduction in the barge translation is approximately 80%. In addition, it is verified that changes in blade stiffness and damping alter the response of the structure very little when the FOWT is under extreme wind conditions. Finally, the results obtained through time and frequency domain analysis are closer to those.

Effectiveness of load-level isolation system for pallet racking systems

Recent Italian earthquakes have shown the high seismic vulnerability of pallet racking systems. In the down-aisle direction and in the absence of bracing systems, these structures are very flexible moment-resisting frames. Instead, in the cross-aisle direction they consist of slender trusses, stiffened by various bracing systems; the latter, although necessary for lateral stability, attract significant seismic accelerations, which can cause the stored goods to fall, posing a threat to human safety. To reduce this risk while increasing the rack structural performance, some mitigation systems were proposed, based on specific base-isolation or dissipation devices. In this paper, an innovative passive control system is investigated, i.e., the Load-Level Isolation System (LLIS), which consists of applying isolators to the load level to control the movement of pallets in the cross-aisle direction. The LLIS is based on the Tuned Mass Damper (TMD) strategy and exploits the high payload of these structures. Among the major uncertainties of this system are the amount of isolated mass and its position within the structure. Therefore, for a case study rack, the LLIS parameters (isolation stiffness and damping ratio) are optimized for various arrangements of this system, considering cases with one or two isolated levels. The applied optimization procedure is an extension of the classical TMD approaches. The effectiveness of the optimized LLISs is then investigated through bidirectional Time-History analyses on 3D Finite Element rack models. The results show that using the LLIS, even on a single load-level, can greatly reduce the upright stresses and the cross-aisle displacements and accelerations, and that the optimal position of the LLIS is in the upper part of the rack.

Fluid inerter for optimal vibration control of floating offshore wind turbine towers

This paper proposes the use of a tuned mass damper fluid-inerter (TMDFI) for vibration control of spar-type floating offshore wind turbine towers. The use of an inerter in parallel with the spring and damper of a tuned mass damper (TMD) is a relatively new concept. The ideal inerter has a mass amplification effect on the classical TMD leading to greater vibration control capabilities. Previous work by the authors has shown that inerter based TMDs have great potential in vibration control of floating offshore wind turbines where enhanced vibration mitigation can be achieved using a relatively lighter device than classical TMDs. However, this previous work was based on the assumption of an ideal inerter that assumes the use of a mechanical flywheel type inerter. Mechanical inerters have some inherent disadvantages due to their complexity in design and high cost of maintenance. The use of a fluid inerter can alleviate these disadvantages as its design is rather simple and it comes with very low maintenance. Such devices have been proposed and investigated in the literature, however, their applicability in vibration control of floating wind turbines has not been investigated by researchers. The optimal design of a TMDFI is presented in this paper. It has been shown that optimization of a TMDFI is a six-dimensional non-linear optimization problem whose solution hyperplane contains multiple local minima. A systematic way has been developed in this paper, avoiding the use of metaheuristic search techniques, to optimize the damper while providing greater insight into the damper properties that offers a set of guidance to the designer. Numerical results demonstrate impressive vibration control capabilities of this new device under various stochastic wind-wave loads. It has been shown that the fluid-inerter performs as well as the ideal mechanical inerter. The considerable advantages of a TMDFI over the classical TMD demonstrated in this paper makes it an exciting candidate for vibration control.

An innovative semi-active pendulum tuned mass damper and its application in vibration control

An innovative Semi-Active Pendulum Tuned Mass Damper (SAPTMD) with variable frequency is introduced in this paper. The SAPTMD consists of two identical pendulum systems, each consisting of a pendulum and two springs attached to the pendulum mass. The pendulums are mounted on two boxes that can rotate symmetrically around the horizontal shafts that pass through them. Due to the change in inclination of the pendulum systems and, consequently, the orientation of the oscillating pendulums, the frequency of the proposed system can change within a predefined range. Besides, the need for less height for installation is another advantage of the SAPTMD over the conventional pendulum tuned mass dampers. In order to show the efficiency of the SAPTMD, it is attached to a single degree of freedom primary system excited similar to excitation due to an unbalanced rotating machinery during its start-up period. The SAPTMD’s performance is compared with a classical tuned mass damper. As it is shown, the response of the primary system is reduced noticeably. Furthermore, the performance of the system is improved by utilizing a fuzzy Proportional-Integral-Derivative (PID) controller.

Design, testing and analysis of a pivoted-bar inerter device used as a vibration absorber

In this paper a new design for a small scale inerter-based dynamic vibration absorber (IDVA) is presented, based upon a pivoted-bar mechanism. There are several new innovations in this study. The first is to design, build and test an inerter-based device that does not need to be grounded, or placed between different parts of the structure in order to create relative motion. Instead, the relative motion is created between an auxiliary mass and the host structure. Secondly, the pivoted-bar mechanism is designed to act as a pure inerter, and avoids unbalanced inertance effects such as those that occur in the dynamic antiresonant vibration isolator (DAVI). Thirdly, the effects of parasitic mass are minimised by using (i) the appropriate device arrangements, (ii) numerical optimisation, and (iii) fine tuning of the device by adding small additional masses. Fourth, the optimum device damping values are obtained by using a gel damper that can be modelled as a hysteretic damper. In addition, the design uses frictionless flexure hinges that have a small amount of stiffness that can affect the device performance. It is shown how this can also be compensated for using the design optimisation and fine tuning strategies. Detailed design and analysis methodologies are provided, in order to extend the existing work on inerters towards practical design and implementation. In terms of applications, it is anticipated that the design would be suitable for small-size restricted-space applications. A prototype of the design for a small-scale and relatively high frequency application is manufactured. Experimental and numerical results show that the device provides a 18% improvement in performance compared to a classical tuned mass damper (TMD).

OPTIMUM PASSIVE TUNED MASS DAMPER SYSTEMS FOR MAIN STRUCTURES UNDER HARMONIC EXCITATION

To increase the effectiveness and robustness of a single Tuned mass damper (TMD), TMDs are connected in series or parallel to the main system. Unlike parallel TMDs (PTMD), series TMDs (STMD) consist of only two different TMD units, each of which is connected to the main structure in series. The optimum parameters of series and parallel TMDs are obtained by using the simulated annealing (SA) algorithm in this study. It is aimed to minimize the displacement in the main system in obtaining the optimum parameters. Also, the explicit formulas that can be easily used for the optimum design of both TMD devices are derived using the curve-fitting technique. The control performance of the optimum STMD device is confirmed through numerical analyses and compared with classical TMD and PTMD.

Enhanced energy dissipation through 3D printed bottom geometry in Tuned Sloshing Dampers

This paper presents an experimental investigation about the dissipation properties of Tuned Sloshing Dampers (TSDs) characterized by different bottom geometries. An experimental campaign on sloped and rounded shaped TSDs is carried out considering a uni-directional harmonic base motion, by varying the water level and the excitation characteristics, i.e. amplitude and frequency. Results are compared with those obtained on a rectangular flat bottom TSD and benchmarked against a classic Tuned Mass Damper (TMD). The present study demonstrates that a TSD with a suitably modified bottom shape can significantly outperform a traditional flat-bottom TSD in terms of maximum amount of dissipated energy and robustness against frequency mistuning.

Seismic performance of optimal Multi-Tuned Liquid Column Damper-Inerter (MTLCDI) applied to adjacent high-rise buildings

Conventional vibration absorbers, e.g., a classical tuned mass damper, may be not efficient in simultaneously controlling the seismic response of adjacent high-rise buildings. In this paper, a novel passive vibration control system, denoted as Multi-Tuned Liquid Column Damper-Inerter (MTLCDI), is developed to control the seismic response of adjacent high-rise buildings. Two different configurations of this system, namely inter-story MTLCDI (IS-MTLCDI) and inter-building MTLCDI (IB-MTLCDI), are proposed, and related mathematical models are developed to investigate the seismic performance of MTLCDI. A case study project comprising two adjacent high-rise buildings equipped with the proposed system and subjected to ten earthquake records with various frequency characteristics is considered. Performance-based parametric optimization of the MTLCDI systems is performed through two distinct constrained multi-objective optimization problems via genetic algorithms, wherein peak absolute accelerations and inter-story drift ratios of the two adjacent buildings are selected as performance indexes. The mitigation effects of optimum IS-MTLCDI and IB-MTLCDI on earthquake-induced vibrations are scrutinized, with emphasis placed on the effects of natural frequency ratios between the two host structures. The results indicate that, when the two buildings have distinct natural frequencies, both IS-MTLCDI and IB-MTLCDI outperform inter-building single TLCDI as well as other vibration absorbers in terms of seismic vibration control of absolute acceleration and inter-story drift ratios. Under most natural frequency ratios, the IS-MTLCDI achieves a larger response reduction than IB-MTLCDI. Nevertheless, when the differences between natural frequencies of adjacent buildings are significant, applying an IB-MTLCDI may be preferable due to its satisfactory mitigation effects combined with ease of installation.

Vibration attenuation in wind turbines: A proposed robust pendulum pounding TMD

A pendulum pounding tuned mass damper (PTMD), based on Hertz contact law, is proposed for vibration suppression in wind turbines. A boundary consisting of viscoelastic material is employed to dissipate energy. A wind turbine equipped with the pendulum PTMD is modeled following the Lagrangian method, to facilitate the numerical study. An example of a 5 MW wind turbine from the National Renewable Energy Laboratory (NREL) is studied under both harmonic and variable frequency excitations. Optimum values of the dominant parameters of the pendulum PTMD are attained for a wide range of frequency ratios and pounding stiffness, under a variable frequency sinusoidal excitation. The performance of the device is investigated against several parameters including the coefficient of restitution, mass ratio, and stiffness uncertainty in the primary structure. The optimum frequency ratio of the pendulum PTMD can be far different from the corresponding tuned mass damper (TMD). Design charts are developed to enable the selection of optimal device properties, for the minimization of certain optimization objectives. The results show that the proposed pendulum PTMD has higher performance over the corresponding classical TMD, in terms of robustness and capabilities to reduce maximum accelerations and displacements under earthquakes. Overall, the proposed device outperforms the TMD under multiple hazard loadings, and can enhance the dynamic performance, for resilient and sustainable infrastructure.

Optimization of Multiple Tuned Mass Dampers for Road Bridges Taking into Account Bridge‐Vehicle Interaction, Random Pavement Roughness, and Uncertainties

Road bridge designs are based on technical standards, which, to date, consider dynamic loading as equivalent static loads. Additionally, the few engineers who perform a dynamic analysis typically do not consider the effects of bridge‐vehicle interaction and also simplify the road’s irregularity profile. Moreover, often, even when a simplified dynamic analysis is carried out and shows that there will be a high dynamic amplification factor (DAF), designers prefer to solve this problem by adopting high safety factors and thereby oversizing the bridge, rather than using energy dissipation devices that would allow reducing the amplitude of vibration. In this context, the present work proposes a complete methodology to minimize the dynamic response of road bridges by optimizing multiple tuned mass dampers (MTMD), taking into account the bridge‐vehicle interaction, the random profile of pavement irregularities, and the uncertainties present in the coupled system and in the excitation. For illustrative purposes, the coupled vibration problem of a regular truck traveling on a random road profile over a typical Brazilian bridge is analyzed. Three different scenarios for the MTMD are considered. The proposed optimization problem is solved by employing the Whale Optimization Algorithm (WOA). The results showed the excellent ability of the proposed methodology, reducing the bridge’s DAF to acceptable values for all analyzed cases, considering or not the uncertainties present in the system. Furthermore, the results obtained by the proposed methodology are compared with results obtained using classical tuned mass damper (TMD) design methods, showing the best performance of the proposed optimization method. Thus, the proposed method can be employed to optimize MTMD, improving bridge design.

Damping of coupled bending-torsion beam vibrations by a two-dof tmd with analogous coupling

Coupled bending-torsion vibrations of a beam with a single cross-section axis of symmetry are mitigated by a two-degree-of-freedom (dof) tuned mass damper with a coupling analogous to that of the beam. By modal truncation a four-degree-of-freedom model is derived for tmd tuning. Because of the analogous tmd properties, a stiffness tuning formula identical to that for the classic tuned mass damper secures inverse relations between all four undamped natural frequencies. Expressions for the tmd damping are subsequently found by a numerical search, which maximizes the smallest of the four damping ratios, resulting in equal damping in three of the four modes. The two-dof coupled tmd is finally assessed by numerical root locus and frequency response analysis for a full flexible beam.

Evaluation of a pendulum pounding tuned mass damper for seismic control of structures

The pendulum pounding tuned mass damper (PPTMD) is an effective passive control device for structures under harmonic excitations. The primary objective of this study is to evaluate the performance of PPTMD for vibration control of SDOF and MDOF structures subjected to ground motions. The dynamic equations of motion for a primary structure controlled by a PPTMD are formulated and the parameter of the PPTMD was obtained through minimizing the root mean square (RMS) of the free vibration response of the controlled structure. The control performance of PPTMD with the optimized parameters was verified by shake table tests of a SDOF structure under three different earthquakes. The effect of the mass ratio and frequency detuning of the PPTMD on its control performance under 17 different earthquake records with different frequency components was further investigated, and the comparison with the classic tuned mass damper (TMD) was also conducted. Additionally, the influence of the inherent damping ratio of primary structure and earthquake intensity to the control performance was discussed. It is shown that the proposed optimum parametric formulas can be used for the optimal PPTMD design, and both numerical and experimental results demonstrated that the PPTMD effectively suppressed the structural responses, even under detuning situations. The inherent damping of primary structure decreases the control efficiency of PPTMD. Moreover, the control performance of the PPTMD on 10-storey shear structure was studied. As a single-mode controller, the PPTMD is more effective when the structural vibration of target mode is mainly excited under seismic excitations.