Optimization of Multiple Tuned Mass Damper (MTMD) Parameters for a Primary System Reduced to a Single Degree of Freedom (SDOF) through the Modal Approach

Wielgos, Piotr; Geryło, R.

doi:10.3390/app11041389

Cited by 10 publications

(3 citation statements)

References 31 publications

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“…C. Jin et al [16] studied the optimization process of a TMD to mitigate the lateral motions and mooring tensions of a submerged floating tunnel under real earthquake perturbations, conducting coupled hydroelastic analysis of the tunnel with a passive vibration absorber and mooring lines. P. Wielgos and R. Gerylo [17] developed a novel approach for constructing dynamic models for structures with multiple attached tuned mass dampers, where an optimization technique based on genetic algorithms and simulated annealing method was implemented to determine the damping and stiffness parameters for individual TMDs.…”

Section: Introductionmentioning

confidence: 99%

Oscillation Attenuation in a Building-like Structure by Using a Flexible Vibration Absorber

et al. 2022

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This is a theoretical, numerical, and experimental study on the vibration attenuation capability of the dynamic response of a building-like structure using a dynamic vibration absorber in cantilever flexible beam configuration, taking into account gravitational effects associated with its mass. The dynamic model of the primary vibrating structure with the passive vibration control device is obtained using the Euler–Lagrange formulation considering the flexible vibration absorber as a generalized system of one degree of freedom. The application of the Hilbert transform to the frequency response function to determine the tuning conditions between this nonlinear flexible beam vibration absorber and the primary system is also proposed. In this fashion, Hilbert transform analysis is then carried out to show that nonlinearities present in the dynamic model do not significantly contribute to the performance of the implemented absorber. Therefore, it is valid to linearize the equations of motion to obtain the tuning condition in which the flexible vibration absorber can attenuate undesirable harmonic vibrations that are disturbing to the building-like flexible structure. Thus, the present study shows that the Hilbert transform can be applied to obtain tuning conditions for other configurations of dynamic vibration absorbers in nonlinear vibrating systems. Simulation and experimental results are included to demonstrate the efficient performance of the presented vibration absorption scheme.

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Section: Introductionmentioning

confidence: 99%

Oscillation Attenuation in a Building-like Structure by Using a Flexible Vibration Absorber

et al. 2022

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“…Large-mass TMDs and multiple TMDs are theoretically possible to broaden the suppression frequency band. [15][16][17][18][19] They are, however, less practical for buildings due to the heavy load-bearing demand and huge installation space. In recent years, great attention has been given to inerters, a type of mechanical devices that can provide large effective mass with only limited physical mass.…”

Section: Introductionmentioning

confidence: 99%

Experimental validation, analytical investigation, and design method of tuned mass damper‐clutching inerter for robust control of structures

Wang

Zheng

2022

Earthq Engng Struct Dyn

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Inerters have significantly uplifted the cost‐effectiveness of structural control technologies. A recently proposed tuned mass damper‐clutching inerter (TMDCI) takes advantage of both mass amplification effect and energy absorption capacity of inerter which is more effective and practical than its predecessors. However, the existing study only provided numerical demonstrations while experimental evidence and analytical explanation are still lacking for in‐depth understanding of the dynamic properties and working principles of TMDCIs. In this study, the mathematical descriptions of TMDCIs are first developed and experimentally validated on a three‐story structure. The validated model is then used to analyze the influences of inerter arrangement and total inertance in inerter‐enhanced devices. With an appropriate inerter arrangement and inertance, the TMDCI shows excellent control performance regardless of the changes in the structural frequency. The reason for the strong robustness of TMDCIs is then revealed via analytical investigation of standalone TMDCIs; the harmonically forced steady‐state responses manifest that the TMDCI can be linearized as equivalent tuned mass damper‐inerters with variable parameters whose natural frequency increases with the increase of excitation frequency. Based on the analytical findings, a design method with robustness consideration is subsequently proposed and draws satisfactory TMDCI designs for both single‐degree‐of‐freedom and multi‐degree‐of‐freedom structures. The designed TMDCI outperforms the comparable devices for both impulsive and seismic response mitigation. The study provides analytical insight into the control capacity of TMDCIs and lays the groundwork for practical design of TMDCIs as an effective and robust control strategy for engineering structures.

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“…To improve the frequency robustness of TMDs, various enhancement measures have been put forward, including the use of multiple TMDs in parallel, [14][15][16] addition of vibro impacts, [17][18][19][20][21] and development of nonlinear stiffness elements. [22][23][24][25][26] A promising solution is nonlinear energy sinks (NESs), 22 a type of nonlinear mass damper with a stiffness element that produces a non-linearizable restoring force.…”

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confidence: 99%

A novel design strategy of track‐based asymmetric nonlinear energy sink for seismic response mitigation of structures

Wang,

Zheng

2024

Earthq Engng Struct Dyn

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Mass dampers, whether linear or nonlinear, rely on resonance with the structure to achieve optimal control performance. However, linear mass dampers require frequency tuning, while nonlinear mass dampers are sensitive to input energy levels, rendering both inadequate for control problems that involve frequency and energy uncertainties. To address this issue, the track asymmetric nonlinear energy sink (TANES) has been developed as a robust mass damper against frequency and energy changes. In this study, a novel design strategy consisting of physical and parameter design was proposed for TANESs. First, TANESs with inverted tracks as the auxiliary mass were proposed, resulting in a significant reduction in the dimensions and weight of the device. The new physical design was then realized, and the mathematical descriptions of the TANES system were validated through experiments on a two‐story frame structure. Subsequently, a parameter design method was proposed to match the frequency variation pattern of the TANES with the given structural and load conditions. Following the design procedure, three TANESs with markedly different track shapes were obtained and compared with existing mass dampers under different types of excitations. Results showed that the frequency responses of the TANES systems subjected to harmonic ground excitations shared great similarity with those of a well‐tuned TMD system at small‐to‐moderate energy levels. As the energy level increased, nonlinear responses such as strongly modulated responses were observed in the TANES systems with decrease structural frequencies, which significantly reduced the resonant peak in the frequency responses. The frequency responses of the TANES systems were consistent with the design objective and could be used to quantitatively predict the robustness performance of the devices under impulsive and seismic excitations. With the reduced dimensions and weight resulting from the inverted‐track configuration and the robustness performance in line with common structural and load conditions, the proposed design strategy of TANESs demonstrated great potential in the seismic response mitigation of engineering structures.

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Optimization of Multiple Tuned Mass Damper (MTMD) Parameters for a Primary System Reduced to a Single Degree of Freedom (SDOF) through the Modal Approach

Cited by 10 publications

References 31 publications

Oscillation Attenuation in a Building-like Structure by Using a Flexible Vibration Absorber

Oscillation Attenuation in a Building-like Structure by Using a Flexible Vibration Absorber

Experimental validation, analytical investigation, and design method of tuned mass damper‐clutching inerter for robust control of structures

A novel design strategy of track‐based asymmetric nonlinear energy sink for seismic response mitigation of structures

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