Optimum Design of a New Tuned Inerter-Torsional-Mass-Damper Passive Vibration Control for Stochastically Motion-Excited Structures

2019 ◽  
Vol 142 (1) ◽  
Author(s):  
Wei-Che Tai
Keyword(s):  
Vibration Control ◽  
Degrees Of Freedom ◽  
Damping Ratio ◽  
Inertial Forces ◽  
Viscous Damper ◽  
Single Degree Of Freedom ◽  
Amplification Effect ◽  
Tuning Ratio ◽  
Mass Damper ◽  
H2 Optimization

Abstract The inerter is referred to as a two-terminal device that provides inertial forces proportional to the relative accelerations between its two terminals. It has been widely applied in vibration control due to its mass amplification effect. In this paper, a new inerter-based damper is proposed to take advantage of the mass amplification effect, which consists of the classic rack-pinion inerter in conjunction with a torsional tuned mass damper. Unlike any other topologies of inerter-based dampers, the torsional mass damper is connected to the pinion of the inerter via a rotational spring and viscous damper. As a result, the weight of the torsional mass damper can be significantly reduced. The proposed damper is applied to single-degree-of-freedom primary structures and a two degrees-of-freedom structure, and the H2 optimization is conducted to obtain the optimum tuning ratio and damping ratio analytically. When comparing the proposed damper with its counterpart reported in the literature, the proposed damper achieves 20–70% improvement when their weights are identical.

Optimum Design of a New Tuned Inerter Mass Damper (TIMD) Passive Vibration Control for Stochastically Motion-Excited Structures

2019 ◽  
Author(s):  
Wei-Che Tai
Keyword(s):  
Vibration Control ◽  
Damping Ratio ◽  
Degree Of Freedom ◽  
Rotational Inertia ◽  
Single Degree Of Freedom ◽  
Single Degree ◽  
Tuning Ratio ◽  
Mass Damper ◽  
Two Degree Of Freedom ◽  
H2 Optimization

Abstract The inerter that is referred to as a two-terminal device that provides resisting forces proportional to the relative accelerations between its two terminals has been widely applied in vibration control due to its mass amplification effect. In this paper, a new inerter-based damper is proposed to take advantage of the inerter, which consists of a rack-pinion inerter in conjunction with a tuned rotational inertia damper. Unlike any other inerter-based dampers, the rotational inertia damper is connected to the pinion of the inerter via a rotational spring and damper. As a result, the weight of the damper can be significantly reduced. The proposed damper is applied to single-degree-of-freedom primary structures and a two-degree-of-freedom structure and the H2 optimization is conducted to obtain the optimum tuning ratio and damping ratio analytically. When comparing the proposed damper with its counterpart reported in the literature, the proposed damper achieves 20% to 70% improvement when their weights are identical.

scholarly journals Exact Solutions for a Novel H2 Optimal Design of Electromagnetic Tuned Mass Damper

2021 ◽  
Author(s):  
Ge Li ◽  
Qibo Mao ◽  
Yifan Luo ◽  
Yong Wang ◽  
Lei Liu
Keyword(s):  
Vibration Control ◽  
Optimization Design ◽  
Damping Ratio ◽  
Tuned Mass Damper ◽  
Parameters Optimization ◽  
Structural Vibration ◽  
Control Effect ◽  
Mass Damper ◽  
Two Parameters ◽  
H2 Optimization

To realize structural vibration control,a two parameters H2 optimization design was proposed to optimize the tuning ratio and damping ratio for electromagnetic tuned mass damper (EMTMD). The control effect of this two parameters optimization design is better than that of classical tuned mass damper (TMD).For this two parameters optimization,the most important thing is that the inductance of the coil can be set very small and the external load resistance can be positive ,which can avoid the use of complex negative impedance circuit. If Ref.[6] were designed according to the H2 optimization of two parameters, the EMTMD can be used for multi-modal vibration control of structures without connecting negative inductance and negative resistance spontaneously.

Determination of optimal parameters of the tuned mass damper to reduce the torsional vibration of the shaft by using the principle of minimum kinetic energy

2018 ◽  
Vol 233 (2) ◽  
pp. 327-335 ◽  
Author(s):  
Duy-Chinh Nguyen
Keyword(s):  
Kinetic Energy ◽  
Torsional Vibration ◽  
Damping Ratio ◽  
Vibration Reduction ◽  
Tuned Mass Damper ◽  
Optimal Parameters ◽  
Lagrangian Equations ◽  
Tuning Ratio ◽  
Mass Damper

In this paper, an analytical method is presented to determine the optimal parameters of the symmetric tuned mass damper, such as the ratio between natural frequency of tuned mass damper and shaft (tuning ratio) and the ratio of the viscous coefficient of tuned mass damper (damping ratio). The optimal parameters of tuned mass damper are applied to reduce the torsional vibration of the shaft based on consideration of the vibration duration and stability criterion. The dynamic equations of the shaft are provided via Lagrangian equations, and the optimal parameters of tuned mass damper are derived by using the principle of minimum kinetic energy. Analytical and numerical examples are implemented to verify the reliability of the proposed method. The analytical and numerical results indicate that the optimal parameters of tuned mass damper have significant effects in the torsional vibration reduction of the shaft.

scholarly journals Wind Induced Vibration Control and Energy Harvesting of Electromagnetic Resonant Shunt Tuned Mass-Damper-Inerter for Building Structures

2017 ◽  
Vol 2017 ◽  
pp. 1-13 ◽  
Author(s):  
Yifan Luo ◽  
Hongxin Sun ◽  
Xiuyong Wang ◽  
Lei Zuo ◽  
Ning Chen
Keyword(s):  
Energy Harvesting ◽  
Time Domain ◽  
Damping Ratio ◽  
Tuned Mass Damper ◽  
Structure Damage ◽  
Tuning Ratio ◽  
Mass Damper ◽  
Double Mass ◽  
Series Type ◽  
Resonant Shunt

This paper proposes a novel inerter-based dynamic vibration absorber, namely, electromagnetic resonant shunt tuned mass-damper-inerter (ERS-TMDI). To obtain the performances of the ERS-TMDI, the combined ERS-TMDI and a single degree of freedom system are introduced. H2 criteria performances of the ERS-TMDI are introduced in comparison with the classical tuned mass-damper (TMD), the electromagnetic resonant shunt series TMDs (ERS-TMDs), and series-type double-mass TMDs with the aim to minimize structure damage and simultaneously harvest energy under random wind excitation. The closed form solutions, including the mechanical tuning ratio, the electrical damping ratio, the electrical tuning ratio, and the electromagnetic mechanical coupling coefficient, are obtained. It is shown that the ERS-TMDI is superior to the classical TMD, ERS-TMDs, and series-type double-mass TMDs systems for protection from structure damage. Meanwhile, in the time domain, a case study of Taipei 101 tower is presented to demonstrate the dual functions of vibration suppression and energy harvesting based on the simulation fluctuating wind series, which is generated by the inverse fast Fourier transform method. The effectiveness and robustness of ERS-TMDI in the frequency and time domain are illustrated.

Exact H2 Optimal Solutions to a SDOF System With Electromagnetic Tuned Inerter Damper for Vibration Control

2020 ◽  
Author(s):  
Yifan Luo ◽  
Hongxin Sun ◽  
Xiuyong Wang ◽  
Anhua Chen ◽  
Lei Zuo
Keyword(s):  
Vibration Suppression ◽  
Damping Ratio ◽  
Design Parameters ◽  
Structural Damping ◽  
Single Degree Of Freedom ◽  
Sdof System ◽  
Dual Functional ◽  
Mass Damper ◽  
Physical Mass ◽  
And Performance

Abstract In order to improve the performance of the tuned mass damper (TMD) with a smaller physical mass for machining vibration suppression and energy harvesting, a dual-functional inerter-based damper, called electromagnetic tuned inerter damper (ETID), is proposed. To evaluate the performance of the ETID, the model of coupled ETID and a single degree of freedom (SDOF) system has been established. The H2 optimal design of the ETID-SDOF system has been conducted, whose goal is to minimize the value of the root mean square (RMS) of the displacement and absolute acceleration of the SDOF system. The analytical solutions of the design parameters of the ETID-SDOF system, namely, frequency ratio and damping ratio, have been derived. The control performance and robustness for the undamped SDOF system with ETID have been evaluated via parametric study compared with the undamped SDOF system with the TMD system. The potential other layouts of the ETID are also discussed. The influence of the structural damping on design parameters and performance has also been investigated.

scholarly journals Control Performance and Robustness of Pounding Tuned Mass Damper for Vibration Reduction in SDOF Structure

2016 ◽  
Vol 2016 ◽  
pp. 1-15 ◽  
Author(s):  
Qichao Xue ◽  
Jingcai Zhang ◽  
Jian He ◽  
Chunwei Zhang
Keyword(s):  
Vibration Suppression ◽  
Damping Ratio ◽  
Tuned Mass Damper ◽  
Dynamic Responses ◽  
Control Performance ◽  
Frequency Bandwidth ◽  
Effective Frequency ◽  
Single Degree Of Freedom ◽  
Optimal Damping ◽  
Mass Damper

This paper investigates the control performance of pounding tuned mass damper (PTMD) in reducing the dynamic responses of SDOF (Single Degree of Freedom) structure. Taking an offshore jacket-type platform as an example, the optimal damping ratio and the gap between mass block and viscoelastic material are presented depending on a parametric study. Control efficiency influenced by material properties and contact geometries for PTMD is analyzed here, as well as robustness of the device. The results of numerical simulations indicated that satisfactory vibration mitigation and robustness can be achieved by an optimally designed PTMD. Comparisons between PTMD and traditional TMD demonstrate the advantages of PTMD, not only in vibration suppression and costs but also in effective frequency bandwidth.

scholarly journals Comparison Study of Vibration Control Effects between Suspended Tuned Mass Damper and Particle Damper

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Zheng Lu ◽  
Dianchao Wang ◽  
Peizhen Li
Keyword(s):  
Vibration Control ◽  
Damping Ratio ◽  
Tuned Mass Damper ◽  
Test Model ◽  
Momentum Exchange ◽  
Equivalent Damping ◽  
Exchange Effects ◽  
Mass Damper ◽  
Damping Effects ◽  
Tuning Frequency

The vibration control performance and its influencing factors of a tuned mass damper and a particle damper are examined by a single degree of freedom structure with such devices. The vibration control effects between these two dampers are also investigated. Increasing the mass ratio of the damper can improve the damping effects; under the condition of tuning frequency, the damping effects are remarkable. However, the more the deviation from the tuned frequency, the less controlling effects can be obtained. The damping effect of a particle damper is generally better than that of a tuned mass damper. For this test model, the particle damper can improve primary structure’s equivalent damping ratio 19 times to the original one’s, while the tuned mass damper can be 13 times. The reason lies in the fact that the particle damper can dissipate input energy by tuning mass, collision, impact, and friction between particles and the container and the momentum exchange effects between the secondary damper mass and the primary structure.

Vibration Control of Buildings Using Series Rolling-Pendulum Tuned Mass Dampers

2019 ◽  
Author(s):  
Jer-Fu Wang ◽  
Chun-Hung Chen ◽  
Chang-Ching Chang ◽  
Chi-Chang Lin
Keyword(s):  
Vibration Control ◽  
Natural Frequency ◽  
Structural Control ◽  
Degrees Of Freedom ◽  
Equations Of Motion ◽  
Control Device ◽  
Tuned Mass Dampers ◽  
High Rise ◽  
Mass Damper ◽  
In Series

Abstract This paper proposes a passive vibration control device, series rolling-pendulum tuned mass damper (SRPTMD), with a “ball-in-ball” configuration. A conventional pendulum TMD (PTMD) generally requires a long cable length that usually exceeds one-story height for high-rise buildings. A rolling-pendulum TMD (RPTMD) is a mass that can roll on a base with a curvature instead of swaying with a cable, significantly reducing the requirement of vertical rooms. In addition, a ball-in-ball SRPTMD is equivalent to a system with two degrees of freedom in series. This study aimed to derive equations of motion of the primary building-SRPTMD system, conduct a parametric study for SRPTMD, and investigate the structural control performance of an SRPTMD. Results showed that an SRPTMD performed similarly to an RPTMD. One advantage of an SRPTMD is that the fundamental natural frequency of an SRPTMD can be altered to a certain extent by changing the radius ratio of the inner ball to the outer ball, whereas the natural frequency of an RPTMD can only be altered by changing the curvature of its base, which is far more difficult. Another advantage is that the two modal frequencies of an SRPTMD can be manipulated by selecting a specific set of radius ratios between the base, the outer ball, and the inner ball, which means that an SRPTMD has higher potential on multiple modes control.

scholarly journals Lever-Type Tuned Mass Damper for Alleviating Dynamic Responses

2019 ◽  
Vol 2019 ◽  
pp. 1-11
Author(s):  
Eun-Taik Lee ◽  
Hee-Chang Eun
Keyword(s):  
Vibration Control ◽  
Numerical Experiments ◽  
Degrees Of Freedom ◽  
Tuned Mass Damper ◽  
Dynamic Responses ◽  
Structural Vibration ◽  
Constraint Condition ◽  
Structural Vibration Control ◽  
Mass Damper ◽  
Vibration Responses

This study considers the structural vibration control by a lever-type tuned mass damper (LTMD). The LTMD has a constraint condition to restrict the motion at both ends of the lever. The LTMD controls the dynamic responses at two locations combining the tuned mass damper (TMD) and the constraint condition. The parameters of the LTMD are firstly estimated from the TMD parameters and should be modified by them to obtain from numerical results. The effectiveness of the LTMD is illustrated in two numerical experiments, and the sensitivity of the parameters is numerically investigated. It is shown that the LTMD leads to the remarkable displacement reduction and exhibits more definite control than the TMD system because the LTMD controls the vibration responses at two DOFs. More displacement responses are reduced when the installation locations of the LTMD coincide with the nodes to represent the largest modes’ values at the first and second modes. The application of the LTMD at the dynamic system of a few degrees of freedom (DOFs) is more effective than the system of many DOFs.

Train-Induced Vibration Control of Simple Beams Using String-Type Tuned Mass Dampers

2007 ◽  
Vol 23 (4) ◽  
pp. 329-340 ◽  
Author(s):  
J.-D. Yau
Keyword(s):  
Vibration Control ◽  
Degrees Of Freedom ◽  
Tuned Mass Damper ◽  
Control Device ◽  
Frequency Condition ◽  
Railway Bridges ◽  
String Type ◽  
Mass Damper ◽  
Tuning Frequency ◽  
Train Induced Vibration

AbstractSince a long-term oscillation of a tuned mass damper (or TMD) in vibration control may impair the spring stiffness of the TMD, this phenomenon will directly down-tune the target frequency of the TMD. For this reason, this study intends to present a string-type tuned mass damper (or STMD) with an adjustable tuning frequency to mitigate the resonant response of a simple beam due to moving loads. The STMD device is installed inside the inner room of a bridge box girder and is composed of a distributed spring-dashpot-mass with a stretched string. Considering a linear beam-STMD model, a generalized two-degrees-of-freedom system is employed to determine the optimum tuning frequency condition and parameters of the STMD in vibration control. Compared with a traditional TMD device, the proposed STMD has the advantage of being adjustable in tuning frequency. From the numerical examples, the results indicate that the proposed STMD is a potential vibration control device in suppressing the train-induced vibration of railway bridges. Even though the tuning frequency of the STMD down-deviate from the target one by 10%, the control effectiveness of such a detuning STMD can still achieve about 90% as that of an optimal STMD by tuning its frequency to fit the optimum tuning frequency condition presented in this study.

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