Design method of tuned mass damper by LMI based robust control theory for seismic excitation

2022 ◽  
pp. 1-47
Author(s):  
Kou Miyamoto ◽  
Satoshi Nakano ◽  
Jinhua She ◽  
Daiki Sato ◽  
Yinli Chen ◽  
...  
Keyword(s):  
Robust Control ◽  
Control Theory ◽  
Passive Control ◽  
Structural Model ◽  
Design Method ◽  
Tuned Mass Damper ◽  
Structural Vibration ◽  
Linear Matrix ◽  
Mass Damper ◽  
Robust Control Theory

Abstract This paper presents a new design method based on a robust-control strategy in the form of a linear matrix inequality (LMI) approach for a passive tuned mass damper (TMD), which is one of the common passive-control devices for structural vibration control. To apply the robust control theory, we first present an equivalent expression that describes a passive TMD as an active TMD. Then, some LMI-based condition is derived that not only guarantees robust stability but also allows us to adjust the robust H¥ performance. In particular, this paper considers the transfer function from a seismic-wave input to structural responses. Unlike other methods, this method formulates the problem to be a convex optimization problem that ensures a global optimal solution and considers uncertainties of mass, damping, and stiffness of a structure for designing a TMD. Numerical example uses both a single-degree-of-freedom (SDOF) and 10DOF models, and seismic waves. The simulation results demonstrated that the TMD that is designed by the presented method has good control performance even if the structural model includes uncertainties, which are the modeling errors.

Analytical analysis for the design of nonlinear tuned mass damper

2020 ◽  
Vol 26 (9-10) ◽  
pp. 646-658
Author(s):  
Lu-yu Li ◽  
Tianjiao Zhang
Keyword(s):  
Passive Control ◽  
Design Method ◽  
Tuned Mass Damper ◽  
Control Device ◽  
Control Performance ◽  
Tuned Mass Dampers ◽  
Mass Damper ◽  
Practical Engineering ◽  
Optimum Formula ◽  
Nonlinear Tuned Mass Damper

A tuned mass damper is a passive control device that has been widely used in aerospace, mechanical, and civil engineering as well as many other fields. Tuned mass dampers have been studied and improved over the course of many years. In practical engineering applications, a tuned mass damper inevitably produces some nonlinear characteristics due to the large displacement and the use of the limiting devices, but this nonlinearity is often neglected. The simulation results in this study confirm that neglecting the nonlinearity in the design process can produce adverse effects on the control performance. This paper takes into account the nonlinearity of the tuned mass damper produced in the process of vibration and deduces an optimum formula for the frequency of a tuned mass damper by the complexification averaging method and multiscale method. Based on this formula, a modified design method for the frequency of a tuned mass damper is presented. The numerical results show that the nonlinear tuned mass damper after modification is better than a linear tuned mass damper in terms of control performance.

Robust Design Method of Multi-Degree-of-Freedom Passive Tuned Mass Damper by Control Theory

2006 ◽  
Author(s):  
Daisuke Iba ◽  
Arata Masuda ◽  
Akira Sone
Keyword(s):  
Feedback Control ◽  
Control Theory ◽  
Output Feedback ◽  
Design Problem ◽  
Design Method ◽  
Tuned Mass Damper ◽  
Degree Of Freedom ◽  
Design Parameters ◽  
Feedback Gain ◽  
Mass Damper

This paper proposes a design method of a multi degree of freedom passive tuned mass damper with robust performance. In this study, the passive tuned mass damper is designed from the view of feedback control theory. Design parameters of the general passive tuned mass damper can be thought to be a feedback gain, and designed by replacing the design problem of the passive tuned mass damper with the output feedback control problem. Moreover, for giving the tuned mass damper robustness, an extended model is constructed by two main systems that have maximum and minimum natural frequencies in the given variable domain of parameters, and one static output feedback H∞ controller reduces the maximum value of frequency response of the extended plant. In this paper, it was confirmed to be able to design the single-degree-of-freedom tuned mass damper with robustness by this method. Moreover, this method was enhanced to the design problem of the multi-degree-of-freedom tuned mass damper that was placed on the multi-degree-of-freedom vibration system, and finally a numerical simulation confirmed the effectiveness.

scholarly journals Passive vibration control in a civil structure: Experimental results

2019 ◽  
Vol 52 (7-8) ◽  
pp. 938-946 ◽  
Author(s):  
Josué Enríquez-Zárate ◽  
Hugo Francisco Abundis-Fong ◽  
Ramiro Velázquez ◽  
Sebastián Gutiérrez
Keyword(s):  
Vibration Control ◽  
Structural Control ◽  
Passive Control ◽  
Tuned Mass Damper ◽  
Experimental Results ◽  
Structural Vibration ◽  
Control Technique ◽  
Primary System ◽  
Vibration Absorption ◽  
Mass Damper

The problem of vibrations in civil structures is common; nevertheless, its negative effects can be significantly reduced using structural control methods with intention of maintaining structural welfare as much as possible. This work deals with the study of structural vibration control in a model of a civil-like structure, which consists of three-level building with a tuned mass damper implemented as a passive vibration absorber, mounted on the top of the structure, to attenuate the harmonic vibrations provided by an electromagnetic actuator connected at the base of the primary system. The action of the tuned mass damper is evaluated from an energy approach. The dissipation of energy in the overall system is conducted in an experimental way, where the passive control technique is designed to minimize the undesirable forced dynamic response of the main structure via the tuned mass damper. Experimental results are provided to show the effective performance of the proposed passive vibration absorption scheme to suppress resonant frequency harmonic excitations disturbing the primary system, evaluating the performance energy and contribution of the dissipative device for the energy release in the overall system.

scholarly journals Vibration suppression of structures using tuned mass damper technology: A state-of-the-art review

2021 ◽  
pp. 107754632098430
Author(s):  
Fan Yang ◽  
Ramin Sedaghati ◽  
Ebrahim Esmailzadeh
Keyword(s):  
Mathematical Modeling ◽  
Vibration Suppression ◽  
State Of The Art ◽  
Optimization Procedure ◽  
Tuned Mass Damper ◽  
Structural Vibration ◽  
Practical Realization ◽  
Reliable Operation ◽  
Mass Damper ◽  
Structural Vibration Suppression

To date, considerable attention has been paid to the development of structural vibration suppression techniques. Among all vibration suppression devices and techniques, the tuned mass damper is one of the most promising technologies due to its mechanical simplicity, cost-effectiveness, and reliable operation. In this article, a critical review of the structural vibration suppression using tuned mass damper technology will be presented mainly focused on the following four categories: (1) tuned mass damper technology and its modifications, (2) tuned mass damper technology in discrete and continuous structures (mathematical modeling), (3) optimization procedure to obtain the optimally designed tuned mass damper system, and (4) active tuned mass damper and semi-active tuned mass damper with the practical realization of the tuned mass damper technologies.

scholarly journals Seismic Performance Analysis of a Connected Multitower Structure with FPS and Viscous Damper

2018 ◽  
Vol 2018 ◽  
pp. 1-19 ◽  
Author(s):  
Xiaohan Wu ◽  
Jun Wang ◽  
Jiangyong Zhou
Keyword(s):  
Seismic Behavior ◽  
Passive Control ◽  
Time History ◽  
Tuned Mass Damper ◽  
Seismic Excitations ◽  
History Analysis ◽  
Mass Damper ◽  
Tower Structure ◽  
Design Requirements ◽  
Friction Pendulum

A high four-tower structure is interconnected with a long sky corridor bridge on the top floor. To reduce the earthquake responses and member forces of the towers and sky corridor bridge, a passive control strategy with a friction pendulum tuned mass damper (FPTMD) was adopted. The sky corridor bridge was as the mass of FPTMD. The connection between the towers and the sky corridor bridge was designed as flexible links, where friction pendulum bearings (FPBs) and viscous dampers were installed. Elastoplastic time-history analysis was conducted by using Perform-3D model to look into its seismic behavior under intensive seismic excitation. The optimal design of the FPTMD with varying friction coefficients and radius of friction pendulum bearing (FPB) under seismic excitations was carried out, and the seismic behavior of the structure was also investigated at the same time.Results show that, for this four-tower connected structure, the friction pendulum tuned mass damper (FPTMD) has very well effect on seismic reduction. The structure can meet the seismic resistance design requirements.

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