Oscillation control of a pendulum structure using an inverted pendulum-type tuned mass damper

2021 ◽  
pp. 146441932110558
Author(s):  
Duy-Chinh Nguyen
Keyword(s):  
Analytical Solutions ◽  
Inverted Pendulum ◽  
Tuned Mass Damper ◽  
Optimal Parameters ◽  
Oscillation Control ◽  
Mass Damper ◽  
Moving Points

In reality, a pendulum structure can be used to model many real structures as a ropeway carrier, crane, balloon basket or ships in waves, etc, which often hung on moving points such as cables, wavefronts and balloons, etc. To the best knowledge of the author, however, there is no study to control oscillation of the pendulum structure excited by the hanging point. Therefore, this article deals with the oscillation control of the pendulum structure by using an inverted pendulum-type tuned mass damper, in which the system is subjected to the motion of the hanging point. In particular, the optimal parameters are determined in clear analytical solutions, making it easy for scientists to determine the optimal parameters to suppress the oscillation for the pendulum structure.

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 Effect of Soil and Structure Nonlinear Interaction on the Efficiency of Tuned Mass Damper

2018 ◽  
Vol 4 (10) ◽  
pp. 2474
Author(s):  
Hamid Masaeli ◽  
Mehdi Panahi
Keyword(s):  
Nonlinear Interaction ◽  
Ground Motions ◽  
Time History ◽  
Tuned Mass Damper ◽  
Winkler Foundation ◽  
Optimal Parameters ◽  
Moment Frame ◽  
Mass Damper ◽  
Hard Soil ◽  
Bearing System

In this paper, three 10, 15, and 20-story two-dimensional concrete structures have been used with a moment frame bearing system as models under analysis. First, using various time history analyses by the OpenSees software, the optimal parameters of the tuned mass damper (TMD), including frequency and mass, were obtained. Structures controlled with and without TMD were modelled on three soft, moderate, and hard soil types classified according to Code 2800. The models were analyzed in terms of time history by 7 ground motions. In order to take into account the nonlinear interaction of soil and structure, the model of the beam on nonlinear Winkler foundation has been used. The results show that nonlinear interaction in most cases reduces the efficiency of TMD. Moreover, as the soil becomes softer, the efficiency reduction of the mass damper increases.

STUDY OF A HYBRID INVERTED PENDULUM TUNED MASS DAMPER BEHAVIOR USING A PID CONTROL

2020 ◽  
Author(s):  
Jonas Pereira Falcão ◽  
Ledymar Foncault Moreno ◽  
José Luis Vital de Brito ◽  
Marcus Vinicius Girão de Morais ◽  
Suzana Moreira Avila
Keyword(s):  
Pid Control ◽  
Inverted Pendulum ◽  
Tuned Mass Damper ◽  
Mass Damper

Design of the symmetric tuned mass damper for torsional vibration control of the rotating shaft

2021 ◽  
pp. 095745652110004
Author(s):  
Duy-Chinh Nguyen
Keyword(s):  
Angular Velocity ◽  
Vibration Control ◽  
Fixed Points ◽  
Torsional Vibration ◽  
Tuned Mass Damper ◽  
Constant Angular Velocity ◽  
Optimal Parameters ◽  
Rotating Shaft ◽  
Mass Damper

The shaft is one of the most important parts of the machine, and it is used to transmit torque. However, the shaft does not always rotate at constant angular velocity due to sudden acceleration or deceleration or due to unstable current. The rotation of the shaft varies with time, which causes torsional vibration on the rotating shaft. To the best of the author’s knowledge, there is no study on designing a symmetric tuned mass damper (STMD) for the rotating shaft with variable angular velocity. Therefore, the purpose of this study is to design an optimal STMD to reduce torsional vibration for the rotating shaft with variable angular velocity. First, the author designs an optimal STMD for the rotating shaft by the fixed-points theory. Second, the optimal parameters of the STMD are obtained by using the minimum quadratic torque method. The optimal parameters of the STMD are defined in analytic and explicit forms, helping researchers to easily design an optimal STMD when applying to reduce torsional vibration for the rotating shaft. Finally, to evaluate the reliability of the designed optimal STMD, Maple software is used to simulate the vibration of the rotating shaft attached with the optimal STMD, as well as to help the readers to have a visual view on the effect of reducing torsional vibration of the rotating shaft.

On the problem of using the bridge span as a tuned mass damper of bridge pier oscillation

2019 ◽  
pp. 24-30
Author(s):  
Olga Nesterova
Keyword(s):  
Critical Mass ◽  
Practical Importance ◽  
Tuned Mass Damper ◽  
Bridge Pier ◽  
Bridge Piers ◽  
Optimal Parameters ◽  
Bridge Span ◽  
Mass Damper ◽  
Effective Use ◽  
The Impact

Objective: To identify the area of effective use of bridge span as a tuned mass damper of bridge pier oscillation during earthquake in seismic areas. Methods: Numerical simulation of oscillations of the “bridge pier with span” system under both the impact set by the harmonic rule and the records of past earthquake accelerograms. Results: The area of effective use of bridge span structures as a tuned mass damper of bridge piers’ oscillation during earthquake in seismic areas has been defined. The concept of the relative critical mass of the span used as a tuned mass damper of bridge piers’ oscillation during earthquake has been introduced. When the spun structure mass reaches the critical value, the effect of the tuned mass damper disappears. The dependences of the optimal parameters of the connection between the span and pier on the relative span mass used as a tuned mass damper have been obtained. It has been found that the span critical mass used as a tuned mass damper decreases when the pier damping increases, and the dependences of the optimal parameters of the connection between the span structure and the pier on the damping in the pier body have been obtained. Practical importance: The possibility of using span as a tuned mass damper of piers is shown. The optimum characteristics of the span and its connection with the pier body have been obtained to be used in designing. The use of span as a tuned mass damper in piers can significantly reduce labor input and the cost of bridge building in seismic areas. It also facilitates the elimination of consequences of devastating earthquakes.

scholarly journals Optimal parameters of tuned mass dampers for machine shaft using the maximum equivalent viscous resistance method

2020 ◽  
Vol 14 (1) ◽  
pp. 127-135 ◽  
Author(s):  
Nguyen Duy Chinh
Keyword(s):  
Torsional Vibration ◽  
Vibration Reduction ◽  
Tuned Mass Damper ◽  
Random Excitation ◽  
Viscous Resistance ◽  
Optimal Parameters ◽  
Tuned Mass Dampers ◽  
Specific Data ◽  
Resistance Method ◽  
Mass Damper

The paper analyzes and determines the optimal parameters of tuned mass damper to reduce torsional vibration for the machine shaft. The research steps are as follows. First, the optimal parameters of tuned mass damper for the shafts are given by using the maximization of equivalent viscous resistance method. Second, a numerical simulation is performed for configuration of machine shaft to validate the effectiveness of the obtained analytical results. The simulation results indicate that the proposed method significantly increases the effectiveness of torsional vibration reduction. Optimal parameters include the ratio between natural frequency of tuned mass damper and the machine shaft, the ratio of the viscous coefficient of tuned mass damper. The optimal parameters found by numerical method only apply to a machine shaft with specific data. However, the optimal parameters in this paper are found as analytic and explicit to help scientists easily apply to every machine shafts when the input parameters of the machine shaft change. Keywords: tuned mass damper; torsional vibration; optimal parameters; random excitation; equivalent viscous resistance.

EXPERIMENTAL STUDY OF AN INVERTED PENDULUM TUNED MASS DAMPER

2019 ◽  
Author(s):  
Pedro Bernardes Júnior ◽  
Marcus Vinicius Girão de Morais ◽  
Suzana Avila
Keyword(s):  
Experimental Study ◽  
Inverted Pendulum ◽  
Tuned Mass Damper ◽  
Mass Damper

Prediction of Solutions of the Duffing System with Tuned Mass Damper

2020 ◽  
Vol 22 (4) ◽  
pp. 983-990
Author(s):  
Konrad Mnich
Keyword(s):  
Dynamical System ◽  
Duffing Oscillator ◽  
Probabilistic Approach ◽  
Nonlinear Dynamical System ◽  
Tuned Mass Damper ◽  
Nonlinear Dynamical ◽  
Duffing System ◽  
Mass Damper ◽  
Basin Stability ◽  
Stability Concept

AbstractIn this work we analyze the behavior of a nonlinear dynamical system using a probabilistic approach. We focus on the coexistence of solutions and we check how the changes in the parameters of excitation influence the dynamics of the system. For the demonstration we use the Duffing oscillator with the tuned mass absorber. We mention the numerous attractors present in such a system and describe how they were found with the method based on the basin stability concept.

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