Analysis and optimization of multiple tuned mass dampers with coulomb dry friction

In this paper, a mass-spring-friction oscillator subjected to two harmonic disturbing forces with different frequencies is studied for the first time. The friction in the system has combined Coulomb dry friction and viscous damping. Two kinds of steady-state vibrations of the system—non-stop and one-stop motions—are considered. The existence conditions for each steady-state motion are provided. Using analytical analysis, the steady-state responses are derived for the two-frequency oscillating system undergoing both the non-stop and one-stop motions. The focus of the paper is to study the influence of the Coulomb dry friction in combination with the two frequency excitations on the dynamic behavior of the system. From the numerical simulations, it is found that near the resonance, the dynamic response due to the two-frequency excitation demonstrates characteristics significantly different from those due to a single frequency excitation. Furthermore, the one-stop motion demonstrates peculiar characteristics, different from those in the non-stop motion.

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Oppositely oriented series multiple tuned mass dampers and application on a parallel machine tool

Mechanical Systems and Signal Processing ◽

10.1016/j.ymssp.2021.108196 ◽

2022 ◽

Vol 163 ◽

pp. 108196

Author(s):

Wenshuo Ma ◽

Xiaoliang Jin ◽

Jingjun Yu ◽

Yiqing Yang ◽

Xinjun Liu ◽

...

Keyword(s):

Machine Tool ◽

Parallel Machine ◽

Tuned Mass Dampers ◽

Parallel Machine Tool ◽

Multiple Tuned Mass Dampers

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Multiple Tuned Mass Dampers for wind–excited tall building

Advanced Materials, Structures and Mechanical Engineering ◽

10.1201/b19693-16 ◽

2016 ◽

pp. 81-86

Keyword(s):

Tall Building ◽

Tuned Mass Dampers ◽

Multiple Tuned Mass Dampers

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On the inclusion of a velocity-dependent basal drag in avalanche models

Annals of Glaciology ◽

10.3189/1998aog26-1-277-280 ◽

1998 ◽

Vol 26 ◽

pp. 277-280 ◽

Cited By ~ 2

Author(s):

J.M.N.T. Gray ◽

Y.C. Tai

Keyword(s):

Stress State ◽

Constant Coefficient ◽

Dry Friction ◽

Earth Pressure ◽

Asymptotic Model ◽

Drag Coefficients ◽

Finite Velocity ◽

Large Thickness ◽

Coulomb Dry Friction ◽

Avalanche Models

The Savage-Hutter model is generalized by including a velocity-dependent drag in addition to the usual Coulomb dry friction at the base of the avalanche. Both linear and quadratic velocity dependencies are considered, with either constant or asymptotically constant drag coefficients for large thickness h. The singular nature of the constant coefficient model for small h is demonstrated and it is shown that the asymptotic model allows the tail of the avalanche to move at a finite velocity. The inclusion of velocity drag changes the stress state in the avalanche and new earth-pressure relations are derived and investigated.

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Adaptive multiple tuned mass dampers based on modal parameters for earthquake response reduction in multi-story buildings

Advances in Structural Engineering ◽

10.1177/1369433216678863 ◽

2016 ◽

Vol 20 (9) ◽

pp. 1375-1389 ◽

Cited By ~ 3

Author(s):

Mohammad Sabbir Rahman ◽

Md Kamrul Hassan ◽

Seongkyu Chang ◽

Dookie Kim

Keyword(s):

Tuned Mass Damper ◽

Primary Objective ◽

Modal Parameters ◽

Earthquake Response ◽

Tuned Mass Dampers ◽

Mass Damper ◽

Modal Mass ◽

Story Building ◽

Selection Of ◽

Multiple Tuned Mass Dampers

The primary objective of this research is to find the effectiveness of an adaptive multiple tuned mass damper distributed along with the story height to control the seismic response of the structure. The seismic performance of a 10-story building was investigated, which proved the efficiency of the adaptive multiple tuned mass damper. Structures with single tuned mass damper and multiple tuned mass dampers were also modeled considering the location of the dampers at the top of the structure, whereas adaptive multiple tuned mass damper of the structure was modeled based on the story height. Selection of the location of the adaptive multiple tuned mass damper along with the story height was dominated by the modal parameters. Participation of modal mass directly controlled the number of the modes to be considered. To set the stage, a comparative study on the displacements and modal energies of the structures under the El-Centro, California, and North-Ridge earthquakes was conducted with and without various types of tuned mass dampers. The result shows a significant capability of the proposed adaptive multiple tuned mass damper as an alternative tool to reduce the earthquake responses of multi-story buildings.

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Seismic response of potential transformers and mitigation using innovative multiple tuned mass dampers

Engineering Structures ◽

10.1016/j.engstruct.2018.07.034 ◽

2018 ◽

Vol 174 ◽

pp. 67-80 ◽

Cited By ~ 3

Author(s):

Bai Wen ◽

Mohamed A. Moustafa ◽

Dai Junwu

Keyword(s):

Seismic Response ◽

Tuned Mass Dampers ◽

Multiple Tuned Mass Dampers

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Robust Optimum Design of Multiple Tuned Mass Dampers for Vibration Control in Buildings Subjected to Seismic Excitation

Shock and Vibration ◽

10.1155/2019/9273714 ◽

2019 ◽

Vol 2019 ◽

pp. 1-9 ◽

Cited By ~ 3

Author(s):

Luciara Silva Vellar ◽

Sergio Pastor Ontiveros-Pérez ◽

Letícia Fleck Fadel Miguel ◽

Leandro Fleck Fadel Miguel

Keyword(s):

Vibration Control ◽

Structural Parameters ◽

Simultaneous Optimization ◽

Tuned Mass Dampers ◽

Structural Dynamic ◽

Energy Devices ◽

Promising Tool ◽

Optimization Methodology ◽

Robust Optimum Design ◽

Multiple Tuned Mass Dampers

Passive energy devices are well known due to their performance for vibration control in buildings subjected to dynamic excitations. Tuned mass damper (TMD) is one of the oldest passive devices, and it has been very much used for vibration control in buildings around the world. However, the best parameters in terms of stiffness and damping and the best position of the TMD to be installed in the structure are an area that has been studied in recent years, seeking optimal designs of such device for attenuation of structural dynamic response. Thus, in this work, a new methodology for simultaneous optimization of parameters and positions of multiple tuned mass dampers (MTMDs) in buildings subjected to earthquakes is proposed. It is important to highlight that the proposed optimization methodology considers uncertainties present in the structural parameters, in the dynamic load, and also in the MTMD design with the aim of obtaining a robust design; that is, a MTMD design that is not sensitive to the variations of the parameters involved in the dynamic behavior of the structure. For illustration purposes, the proposed methodology is applied in a 10-story building, confirming its effectiveness. Thus, it is believed that the proposed methodology can be used as a promising tool for MTMD design.

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