Design of a tuned mass damper for damped structures using an orthogonal-function-based equivalent linearization method

Ghaffarzadeh, Hosein; Younespour, Amir; Cheng, Shaohong

doi:10.1016/j.istruc.2020.10.069

Cited by 11 publications

(5 citation statements)

References 32 publications

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“…Being similar to the SDOF oscillator having a viscous damper, the energy dissipating efficiency of a structural system can also be improved when energy absorbing device is attached 29,30 . For a SDOF system, the dynamic amplification factor

H_{normalm}

is the function of excitation frequency (

normalΩ

) and the damping ratio (

ξ_{normals}

) of the main structure.…”

Section: Comparative Studymentioning

confidence: 99%

An integrated equivalent tuned‐mass‐inerter vibration absorber and its optimal design

Dai

Tang

Zhang

2022

Structural Contr & Hlth

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Inerters have been widely used in the vibration suppression of automobile and civil structures, due to its large capability in kinetic energy. When applying inerters at the free end of a structure, additional lumped mass has to be involved for obtaining the driving force, which may not be beneficial to the integrity of the device. In this paper, an integrated equivalent tuned mass damper with inerter (ETMDI), having the mass with respect to both translational motion and rotation in a single device, is proposed. First, the equation of motion for the proposed ETMDI system is derived from the Lagrange's equation. The extended fixed-point theory is next used to obtain the closed-form expression for the optimal parameters. Taking a single degree-of-freedom system and a wind turbine tower, numerical simulations are further performed considering base excitations. Compared to the classical TMD and the inerter-based vibration absorber (IDVA-C4), the efficiency and robustness of the proposed ETMDI have been confirmed, showing its potential in energy absorbing and vibration mitigation applications.

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H_{normalm}

is the function of excitation frequency (

normalΩ

) and the damping ratio (

ξ_{normals}

) of the main structure.…”

Section: Comparative Studymentioning

confidence: 99%

An integrated equivalent tuned‐mass‐inerter vibration absorber and its optimal design

Dai

Tang

Zhang

2022

Structural Contr & Hlth

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show abstract

“…Research on the design of TMD on damped linear structures using the equivalent linearization method based on orthogonal functions has been carried out to improve the performance of structures in receiving seismic responses [12]. The following study about the performance of tuned mass dampers against structural collapse due to near-fault earthquakes discussed the efficiency of TMD in steel-frame structures to prevent structural collapse due to seismic loads [13].…”

Section: Introductionmentioning

confidence: 99%

Optimum Design of Tuned Mass Damper Parameters to Reduce Seismic Response on Structure Using Genetic Algorithm

Suryadi

Prasetya²,

Daratha³

et al. 2023

AEJ

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A tuned mass damper (TMD) is a system to improve structural performance in reducing vibration response under seismic loads. This study optimizes TMD parameters using a genetic algorithm. In this study, the structure is modeled as a spring-mass system to obtain mathematical equations. Then, those equations are used to estimate vibration due to seismic loads. A genetic algorithm is used to find optimum parameters which correspond to minimum vibrations. The simulation result shows that the genetic algorithm can find values of parameters such as the ratio of mass, stiffness, and damping values which reduces vibrations on the structure. Based on the tests, it is found that the best combination of genetic algorithm parameters to produce the most optimal fitness value is population size 30, generation size 800, crossover probability 0.5, and mutation probability 0.5. Applying the genetic algorithm shows that the optimal parameter ratio values of TMD to reduce the vibration response are 10% mass, 10% stiffness, and 1% damping of mass, stiffness, and damping in the structure. The result of the vibration response analysis shows that the maximum amplitude value of the main structure without TMD is 0.24259 m reduced to 0.034385 m with the addition of TMD. This shows that the TMD successfully reduces vibrations in the main structure with a percentage of 85.94%. Where the TMD manages to dissipate the energy that should only be received by the structure to the TMD itself.

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“…In addition to the difficulty of dealing mathematically with typical nonlinear systems, these types of systems are equally challenging to control. To overcome this difficulty, various linearization approaches such as feedback linearization, linearization around equilibrium points, etc., have been used in vibration control studies for nonlinear modeled structures (Anh and Nguyen, 2012; Ghaffarzadeh et al, 2020; Socha and Blachuta, 2000). To improve the performance of nonlinear Duffing systems exposed to nonstationary random excitations, Aghabalaei Baghaei et al (2019) applied equivalent linearization (EL) and SMC techniques.…”

Section: Introductionmentioning

confidence: 99%

Adaptive backstepping control design for ATMD systems in nonlinear structures with nonlinear disturbance and parametric uncertainties

Ümütlü

Bıdıklı

Öztürk

et al. 2023

Journal of Vibration and Control

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Active tuned mass damper (ATMD) devices are recommended in various structures to reduce vibrations. The performance of the ATMD system is closely tied to the control design utilized, according to research in the literature. The designed control input will take into account as much system dynamics as possible, making it possible to use it as a generalized controller in all similar systems. Nonlinear behavior is the natural behavior of engineering structures, and in order to obtain a more realistic and high-performance ATMD system, it can be considered as an appropriate approach to design the controller by considering the structural nonlinearities. In addition, unexpected external influences and parameter uncertainties must be taken into account during control design to ensure that control systems perform successfully in similar systems in all conditions. Therefore, in this study, the nonlinear model of the multi-story building was reconstructed by adding nonlinear disturbance to represent unknown external effects. Band-limited white noise is used as a disturbance function and Gaussian white noise is added to measured states in this study. To obtain a robust controller, unknown structural parameters are compensated for by using adaptive compensation terms. With the controller design supported by the Lyapunov-based stability analysis, the stability of the vibrating structure featuring an ATMD is theoretically guaranteed while achieving the main control goal. Performance analyses of the designed controllers are carried out with simulation studies. The efficiency of the developed Lyapunov-based controller in dampening the unwanted vibrations that occurred on the building is seen in simulation results.

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Design of a tuned mass damper for damped structures using an orthogonal-function-based equivalent linearization method

Cited by 11 publications

References 32 publications

An integrated equivalent tuned‐mass‐inerter vibration absorber and its optimal design

An integrated equivalent tuned‐mass‐inerter vibration absorber and its optimal design

Optimum Design of Tuned Mass Damper Parameters to Reduce Seismic Response on Structure Using Genetic Algorithm

Adaptive backstepping control design for ATMD systems in nonlinear structures with nonlinear disturbance and parametric uncertainties

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