A Design Method of Tuned Mass Damper with Super Elasticity Materials

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.

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An improved design method of a tuned mass damper for an in-service footbridge

10.1063/1.5029720 ◽

2018 ◽

Cited By ~ 1

Author(s):

Weixing Shi ◽

Liangkun Wang ◽

Zheng Lu

Keyword(s):

Design Method ◽

Tuned Mass Damper ◽

Mass Damper ◽

Improved Design

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

Journal of Vibration and Acoustics ◽

10.1115/1.4053544 ◽

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.

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

Volume 8: Seismic Engineering ◽

10.1115/pvp2006-icpvt-11-93364 ◽

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.

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DESIGN OF TUNED MASS DAMPERS FOR LARGE STRUCTURES USING MODAL ANALYSIS

Acta Polytechnica CTU Proceedings ◽

10.14311/app.2020.26.0100 ◽

2020 ◽

Vol 26 ◽

pp. 100-106

Author(s):

Jan Štepánek ◽

Jiří Máca

Keyword(s):

Numerical Optimization ◽

Design Method ◽

Optimization Method ◽

Tuned Mass Damper ◽

Superposition Method ◽

Tuned Mass Dampers ◽

Design And Optimization ◽

Large Structures ◽

Mode Superposition Method ◽

Mass Damper

Tuned mass damper is a device, which can be highly useful when dealing with excessive vibration and is widely used in many engineering fields. However, its proper design and optimization is a complicated task. This study uses mode superposition method to speed up the evaluation of dynamic response. The speed of response calculation allows for a quick calculation of frequency response function and numerical optimization of tuned mass dampers. This optimization method is demonstrated on a numerical example of a cable stayed footbridge. The example compares a simplified and widely used design method of tuned mass damper with numerical optimization.

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Vibration Suppression Using Distributed Tuned Mass Damper Technology

Volume 5: 22nd International Conference on Design Theory and Methodology; Special Conference on Mechanical Vibration and Noise ◽

10.1115/detc2010-28738 ◽

2010 ◽

Cited By ~ 1

Author(s):

F. Yang ◽

R. Sedaghati ◽

E. Esmailzadeh

Keyword(s):

Transfer Function ◽

Vibration Suppression ◽

Controller Design ◽

Design Method ◽

Tuned Mass Damper ◽

Objective Functions ◽

Linear Quadratic ◽

Magnification Factors ◽

Mass Damper ◽

Primary Structures

The Distributed Tuned Mass Damper (DTMD) technology, which is one of the modifications of the classical Tuned Mass Damper (TMD) technique, is defined as the multiple TMD design based on one mode of the primary structures. The modeling procedure for this kind of problem is similar to that for the single TMD design, especially for discrete (or modeled as) primary structures, such as the building-type structures. Therefore, the challenge work in this area is to attain the best vibration suppression performance through an optimally designed DTMD system. From the point of optimization, basically, two typical approaches have been utilized to design the DTMD system. The first one is to directly obtain the transfer function and then define the variance or the Dynamic Magnification Factors (DMF) as objective functions, which was utilized by many researchers. In the other methodology, the transfer function is expressed as a dynamic model with an optimal H2 controller under predefined form. In this study, a new optimal DTMD design approach will be presented, in which the optimization objective function and method will be established based on the Linear Quadratic Controller design method. The presented method provides a simple and straightforward way to design the DTMD system. The numerical example will be presented to illustrate the vibration suppression performance of the optimally designed DTMD system.

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