Characteristics and Optimization of Series Multiple Tuned-Mass Dampers

2007 ◽  
Author(s):  
Lei Zuo
Keyword(s):  
Total Mass ◽  
Vibration Suppression ◽  
Primary System ◽  
Mass Ratio ◽  
Dynamic Vibration Absorber ◽  
Tuned Mass Dampers ◽  
In Series ◽  
New Type ◽  
Stiffness And Damping ◽  
Better Than

Tuned-mass damper (TMD), or dynamic vibration absorber (DVA), is a very practical and effective device for vibration suppression. Various types of tuned-mass dampers have been proposed in literature, including the classic TMD, (parallel) multiple TMDs, multi-degree-of-freedom (DOF) TMD, and three-element TMD. In this paper we study the characteristics and optimization of a new type of TMD system, in which multiple absorbers are connected to the primary system in series. Structured H2 and H∞ control methods are adopted to optimize the parameters of spring stiffness and damping coefficients for random and harmonic vibration. It is found that series multiple TMDs are more effective and robust than all the other types of TMDs of the same mass ratio. The series two TMDs of total mass ratio 5% can appear to have 31%–66% more mass than the classical TMD, and it can perform better than parallel ten TMDs of the same total mass ratio. The series TMDs are also less sensitive to the parameter changes of the primary system than other TMD(s). Unlike the parallel multiple TMDs, the optimal mass distribution among absorbers in series TMDs is far from the case of equal masses, but instead the first absorber mass is much larger than the second one. Similar to the two-DOF TMD, the optimal series two TMDs also have zero damping in one of its two connections and further increased effectiveness can be obtained if negative dashpot is allowed.

Effective and Robust Vibration Control Using Series Multiple Tuned-Mass Dampers

2009 ◽  
Vol 131 (3) ◽  
Author(s):  
Lei Zuo
Keyword(s):  
Total Mass ◽  
Primary System ◽  
Vibration Absorbers ◽  
Mass Ratio ◽  
Tuned Mass Dampers ◽  
In Series ◽  
New Type ◽  
Parameter Variance ◽  
Stiffness And Damping ◽  
Optimal Series

Various types of tuned-mass dampers (TMDs), or dynamic vibration absorbers, have been proposed in literature, including the classic TMD, (parallel) multiple TMDs, multidegree-of-freedom (DOF) TMD, and three-element TMD. In this paper we study the characteristics and optimization of a new type of TMD system, in which multiple absorbers are connected to the primary system in series. Decentralized H2 and H∞ control methods are adopted to optimize the parameters of spring stiffness and damping coefficients for random and harmonic vibration. It is found that series multiple TMDs are more effective and robust than all the other types of TMDs of the same mass ratio. The series two TMDs of total mass ratio of 5% can appear to have 31–66% more mass than the classical TMD, and it can perform better than the optimal parallel ten TMDs of the same total mass ratio. The series TMDs are also less sensitive to the parameter variance of the primary system than other TMD(s). Unlike in the parallel multiple TMDs where at the optimum the absorber mass is almost equally distributed, in the optimal series TMDs the mass of the first absorber is generally much larger than the second one. Similar to the 2DOF TMD, the optimal series two TMDs also have zero damping in one of its two connections, and further increased effectiveness can be obtained if a negative dashpot is allowed. The optimal performance and parameters of series two TMDs are obtained and presented in a form of ready-to-use design charts.

Study on Novel Tuned Mass Dampers Utilizing Plural Auxiliary Masses to Expand Vibration Suppression Performance Under the Conditions of Limited Mass Ratio

2013 ◽  
Author(s):  
Toru Watanabe ◽  
Daiki Usuki ◽  
Kazuto Seto
Keyword(s):  
Vibration Suppression ◽  
Mass Ratio ◽  
Tuned Mass Dampers ◽  
Suppression Effect ◽  
Limited Mass ◽  
Experimental Structure ◽  
Auxiliary Mass

This paper proposes two types of novel Tuned Multi-mass Dampers (TMMD), namely Unequally-divided TMMD (UTMMD) and Wired TMMD (WTMMD). It is widely known that the TMMD made of plural identical tuned mass dampers (TMDs) achieves higher vibration suppression effect than a single big TMD. In this study, the idea of UTMMD made of plural unequal TMDs is presented and its vibration suppression effect is explored numerically. It is clarified that the vibration suppression effect of UTMMD is essentially the same as that of TMD, while the robustness might be slightly improved. Meanwhile, the extension of the stroke of TMD is an important issue. WTMMD is another novel TMMD made of an auxiliary mass connected with two small auxiliary masses via wires for each. In this study, an experimental structure and WTMMD is built, and vibration suppression property of WTMMD is investigated experimentally. The WTMMD showed satisfactory vibration suppression performance.

scholarly journals Vibration Suppression of Wind/Traffic/Bridge Coupled System Using Multiple Pounding Tuned Mass Dampers (MPTMD)

Sensors ◽  
2019 ◽  
Vol 19 (5) ◽  
pp. 1133 ◽  
Author(s):  
Xinfeng Yin ◽  
Gangbing Song ◽  
Yang Liu
Keyword(s):  
Vibration Suppression ◽  
Equations Of Motion ◽  
Coupled System ◽  
Highway Bridges ◽  
Dynamic Responses ◽  
Viscoelastic Layer ◽  
Parameter Study ◽  
Mass Ratio ◽  
Tuned Mass Dampers ◽  
Coupled Equations

Dynamic responses of highway bridges induced by wind and stochastic traffic loads usually exceed anticipated values, and tuned mass dampers (TMDs) have been extensively applied to suppress dynamic responses of bridge structures. In this study, a new type of TMD system named pounding tuned mass damper (PTMD) was designed with a combination of a tuned mass and a viscoelastic layer covered delimiter for impact energy dissipation. Comprehensive numerical simulations of the wind/traffic/bridge coupled system with multiple PTMDs (MPTMDs) were performed. The coupled equations were established by combining the equations of motion of both the bridge and vehicles in traffic. For the purpose of comparing the suppressing effectiveness, the parameter study of the different numbers and locations, mass ratio, and pounding stiffness of MPTMDs were studied. The simulations showed that the number of MPTMDs and mass ratio are both significant in suppressing the wind/traffic/bridge coupled vibration; however, the pounding stiffness is not sensitive in suppressing the bridge vibration.

scholarly journals A methodology for identifying optimum vibration absorbers with a reaction mass

2019 ◽  
Vol 475 (2228) ◽  
pp. 20190232 ◽  
Author(s):  
Sara Ying Zhang ◽  
Yi-Yuan Li ◽  
Jason Zheng Jiang ◽  
Simon A. Neild ◽  
John H. G. Macdonald
Keyword(s):  
Vibration Suppression ◽  
Dynamic Properties ◽  
Reaction Mass ◽  
Vibration Absorbers ◽  
Tuned Mass Dampers ◽  
Wide Range ◽  
Mass Damper ◽  
In Series ◽  
Significant Performance ◽  
Full Class

Tuned mass dampers (TMDs), in which a reaction mass is attached to a structural system via a spring–parallel–damper connection, are commonly used in a wide range of applications to suppress deleterious vibrations. Recently, a mass-included absorber layout with an inerter element, termed the tuned mass damper inerter (TMDI), was introduced, showing significant performance benefits on vibration suppression. However, there are countless mass-included absorber layouts with springs, dampers and inerters, which could potentially provide more preferred dynamic properties. Currently, because there is no systematic methodology for accessing them, only an extremely limited number of mass-included absorber layouts have been investigated. This paper proposes an approach to identify optimum vibration absorbers with a reaction mass. Using this approach, a full class of absorber layouts with a reaction mass and a pre-determined number of inerters, dampers and springs connected in series and parallel, can be systematically investigated using generic Immittance-Function-Networks. The advan- tages of the proposed approach are demonstrated via a 3 d.f. structure example.

scholarly journals Effect of Inerter in Traditional and Variant Dynamic Vibration Absorbers for One Degree-of-Freedom Systems Subjected to Base Excitations

2019 ◽  
Vol 23 (1) ◽  
pp. 9-16
Author(s):  
Dheepakram Laxmimala Barathwaaj ◽  
Sujay Yegateela ◽  
Vivek Vardhan ◽  
Vignesh Suresh ◽  
Devarajan Kaliyannan
Keyword(s):  
Damping Ratio ◽  
Maximum Amplitude ◽  
Vibration Absorber ◽  
Primary System ◽  
Base Excitation ◽  
Mass Ratio ◽  
Magnification Factor ◽  
Dynamic Vibration Absorber ◽  
Optimum Frequency ◽  
Dynamic Vibration

Abstract In this paper, closed-form optimal parameters of inerter-based variant dynamic vibration absorber (variant IDVA) coupled to a primary system subjected to base excitation are derived based on classical fixed-points theory. The proposed variant IDVA is obtained by adding an inerter alone parallel to the absorber damper in the variant dynamic vibration absorber (variant DVA). A new set of optimum frequency and damping ratio of the absorber is derived, thereby resulting in lower maximum amplitude magnification factor than the inerter-based traditional dynamic vibration absorber (traditional IDVA). Under the optimum tuning condition of the absorbers, it is proved both analytically and numerically that the proposed variant IDVA provides a larger suppression of resonant vibration amplitude of the primary system subjected to base excitation. It is demonstrated that adding an inerter alone to the variant DVA provides 19% improvement in vibration suppression than traditional IDVA when the mass ratio is less than 0.2 and the effective frequency bandwidth of the proposed IDVA is wider than the traditional IDVA. The effect of inertance and mass ratio on the amplitude magnification factor of traditional and variant IDVA is also studied.

Research of Two-Series-Mass Dynamic Vibration Absorber and it’s Application on Building Vibration Control

2011 ◽  
Vol 368-373 ◽  
pp. 146-149
Author(s):  
Gong Yu Pan ◽  
Ying Zhang
Keyword(s):  
Vibration Control ◽  
Total Mass ◽  
Absorption Efficiency ◽  
Vibration Absorber ◽  
Mass Ratio ◽  
Dynamic Vibration Absorber ◽  
Vibration Absorption ◽  
Dynamic Vibration ◽  
Simulation And Experiment ◽  
Single Mass

Multiplexing the dynamic vibration absorber (DVA) has tried for improving the vibration absorption efficiency of the dynamic vibration absorber, and because there are several tuning vibration frequencies in the multi-mass dynamic vibration absorber system, the vibration absorption efficiency is more excellent than a conventional single-mass dynamic vibration absorber when they are in the same total mass ratio. In this paper, a two-series-mass dynamic vibration absorber was proposed, optimal parameters of the two-series-mass dynamic vibration absorber have been calculated and vibration absorption is analyzed with the simulation and experiment. The results show that the two-series-mss dynamic vibration absorber can improve vibration absorption, in the same total mass ratio, by about 20% above that of a conventional single-mass dynamic vibration absorber. Based on the above optimal results, the two-series-mass dynamic vibration was used for vibration control on high building, and the practical measure result shows its effectiveness.

Design and Optimization of Multiple Single-DOF Tuned Mass Dampers Based on Flexure Design Theory

2018 ◽  
Author(s):  
Wenshuo Ma ◽  
Yiqing Yang ◽  
Jingjun Yu
Keyword(s):  
Design Theory ◽  
Dynamic Performance ◽  
Maximum Amplitude ◽  
Single Mode ◽  
Primary System ◽  
Tuned Mass Dampers ◽  
Precision Engineering ◽  
Element Analysis ◽  
Design And Optimization ◽  
Stiffness And Damping

Vibration is an undesirable phenomenon in engineering, and its avoidance has received considerable attention, especially for the cases of precision engineering. Since the dynamic performance of precision mechanisms are most likely to be restricted by their 1st modes, multiple single degree of freedom (SDOF) tuned mass dampers (TMDs) are designed to suppress a translational moving platform with single mode. The TMDs are designed with optimal stiffness and damping ratios, which are acquired by numerical optimization using minimax algorithm. Each SDOF TMD is implemented via the graphical approach and modeled by substructure dynamic modeling techniques. Results of finite element analysis (FEA) show that the maximum amplitude of frequency response function (FRF) of the primary system can be damped to 89.14% when N is 3, which validates the vibration mitigation by employing the designed TMDs. Furthermore, the proposed design routine provides a guidance for implementation of multiple SDOF TMDs.

scholarly journals Dual-Functional Energy-Harvesting and Vibration Control: Electromagnetic Resonant Shunt Series Tuned Mass Dampers

2013 ◽  
Vol 135 (5) ◽  
Author(s):  
Lei Zuo ◽  
Wen Cui
Keyword(s):  
Energy Harvesting ◽  
Vibration Control ◽  
Vibration Suppression ◽  
Primary System ◽  
Tuned Mass Dampers ◽  
Dual Functional ◽  
Rlc Circuit ◽  
Double Mass ◽  
Gradient Based ◽  
Resonant Shunt

This paper proposes a novel retrofittable approach for dual-functional energy-harvesting and robust vibration control by integrating the tuned mass damper (TMD) and electromagnetic shunted resonant damping. The viscous dissipative element between the TMD and primary system is replaced by an electromagnetic transducer shunted with a resonant RLC circuit. An efficient gradient based numeric method is presented for the parameter optimization in the control framework for vibration suppression and energy harvesting. A case study is performed based on the Taipei 101 TMD. It is found that by tuning the TMD resonance and circuit resonance close to that of the primary structure, the electromagnetic resonant-shunt TMD achieves the enhanced effectiveness and robustness of double-mass series TMDs, without suffering from the significantly amplified motion stroke. It is also observed that the parameters and performances optimized for vibration suppression are close to those optimized for energy harvesting, and the performance is not sensitive to the resistance of the charging circuit or electrical load.

Application of Tuned Mass Dampers and Lever Type Vibration Isolator to the Quarter-Car Model in Order to Increase Ride Comfort

2010 ◽  
Author(s):  
Go¨ksu Aydan ◽  
Ender Cig˘erog˘lu ◽  
S. C¸ag˘lar Bas¸lamıs¸lı
Keyword(s):  
Ride Comfort ◽  
Small Mass ◽  
Vibration Isolator ◽  
Tuned Mass Dampers ◽  
Suspension Spring ◽  
Vibration Isolators ◽  
Quarter Car Model ◽  
Suspension Systems ◽  
In Series ◽  
Stiffness And Damping

In this paper, performance of passive vibration isolators, namely rotational / linear tuned mass dampers (TMD) and lever type vibration isolators (LVI), are investigated under different configurations for optimal ride comfort. TMDs reduce vibration levels by absorbing the energy of the system, especially around natural frequencies with the help of viscous dampers. Two types of TMDs, rotational and linear, are investigated in this study. Although linear TMDs can be more easily implemented on suspension systems, rotational TMDs show better performance in reducing vibration levels. The reason is that, the inertia effect of rotational TMDs is higher than linear TMDs. In order to obtain better results with TMDs, a study on different possible configurations is conducted. A plate, with very small mass, is added between sprung and unsprung masses without changing the original suspension spring stiffness and damping coefficients and acts as a support for in-series TMD applications. Finally, LVIs are implemented to reduce sprung mass acceleration and more satisfactory results are obtained especially around body bounce frequency.

Multi-Resonant Electromagnetic Shunt Dampers for Vibration Suppression

2017 ◽  
Author(s):  
Yalu Pei ◽  
Lei Zuo
Keyword(s):  
Vibration Suppression ◽  
Optimal Designs ◽  
Primary System ◽  
Mean Square ◽  
Optimal Result ◽  
Tuned Mass Dampers ◽  
Closed Form Solutions ◽  
System Parameters ◽  
Double Mass ◽  
Resonant Shunt

This paper proposed multi-resonant electromagnetic (EM) shunt dampers and investigated the optimal designs and performances of shunt circuits for a single DOF primary system. The circuits are arranged in parallel or series based on the analogy of multiple tuned mass dampers (TMDs). The objective is to minimize the root-mean-square (RMS) vibration of the primary system subjected to random base excitations. For single resonant EM shunt damper, closed-form solutions of optimal system parameters are obtained. For multi-resonant EM shunt dampers, the system parameters are numerically optimized. The vibration suppression performance of multi-resonant EM shunt dampers are compared with double-mass TMDs under the same 5% total stiffness ratio. It shows that the parallel shunt damper can achieve slightly better performance than parallel TMDs while the series shunt damper behaves differently from series TMDs. The optimal result of the series shunt damper will be the same as the single resonant shunt damper. It is also found that the multi-resonant EM shunt damper is much more sensitive to the capacitance than the resistance in the shunt circuits.

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