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

Nguyen, Duy-Chinh

doi:10.31814/stce.nuce2020-14(1)-11

Cited by 3 publications

(2 citation statements)

References 9 publications

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“…This paper aims at determining the optimal parameters of the dynamic vibration absorber in order to eliminate torsional vibration of the rotating shaft that varies with time. The optimum parameters of the dynamic vibration absorber which are determined by using the minimum quadratic torque method are shown in equations (22) and (23). The optimal parameters of the dynamic vibration absorber that are chosen in order to maximize the equivalent resistance coefficient of the system are presented in equations ( 31) and (32).…”

Section: Discussionmentioning

confidence: 99%

“…But due to the elasticity of the material, the rotating systems produce torsional vibration. Therefore, the research results in references [4][5][6][7][8][9][10][11][12][13][14][21][22][23] were developed to overcome the limitations of the rotating systems. In this paper, the author continues the work aimed at finding the optimal parameters of the DVA for the case of the rotating shaft that varies with time.…”

Section: Introductionmentioning

confidence: 99%

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Archive of Mechanical Engineering

Chinh

2020

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Vibration control of a rotating shaft by passive mass-spring-disc dynamic vibration absorberShaft is a machine element which is used to transmit rotary motion or torque. During transmission of motion, however, the machine shaft doesn't always rotate with a constant angular velocity. Because of unstable current or due to sudden acceleration and deceleration, the machine shaft will rotate at a variable angular velocity. It is this rotary motion that generates the moment of inertial force, causing the machine shaft to have torsional deformation. However, due to the elasticity of the material, the shaft produces torsional vibration. Therefore, the main objective of this paper is to determine the optimal parameters of dynamic vibration absorber to eliminate torsional vibration of the rotating shaft that varies with time. The new results in this paper are summarized as follows: Firstly, the author determines the optimal parameters by using the minimum quadratic torque method. Secondly, the maximization of equivalent viscous resistance method is used for determining the optimal parameters. Thirdly, the author gives the optimal parameters of dynamic vibration absorber based on the fixed-point method. In this paper, the optimum parameters are found in an explicit analytical solutions, helping the scientists to easily find the optimal parameters for eliminating torsional vibration of the rotating shaft.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Archive of Mechanical Engineering

Chinh

2020

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Design of Absorber in a Machine Shaft Based on Stability Maximization

Nguyen

2022

Lecture Notes in Mechanical Engineering

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Optimal parameters of tuned mass dampers for an inverted pendulum with two degrees of freedom

Nguyen

2020

Proceedings of the Institution of Mechanical Engineers, Part K:

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In reality, an inverted pendulum can be used to model many real structures as the fluid tower, super-tall buildings, or articulated tower in the ocean, etc. However, for the inverted pendulum with two degrees of freedom, to the best knowledge of the author, there is no study to determine optimal parameters of two tuned mass dampers (TMD) by using the maximization of equivalent viscous resistance method. Therefore, the current study presents the analytical solutions to the optimization of two orthogonal TMDs, which is used to eliminate vibration of the inverted pendulum with two degrees of freedom. The parameters considered in optimizing are the natural frequency ratios and damping ratios of the two TMDs. The new results of this paper can be summarized as follows: Firstly, the equivalent resistance forces of the two TMDs acting on the inverted pendulum with two degrees of freedom are established. Secondly, the quadratic torque matrices of the vibration response of the inverted pendulum attached with two TMDs is revealed. Thirdly, the optimal expressions are derived using the maximization of equivalent viscous resistance method. The obtained formulae provide exact solutions for the proposed problem. Finally, to confirm the effectiveness of the obtained formulae, parametric studies on vibration are performed for sample articulated tower in the ocean with and without optimal TMDs. Numerical results show that vibrations of the articulated tower attached with optimal TMDs are effectively eliminated. This confirms that the optimal parameters of the two TMDs are determined in this paper are reliable and accurate.

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

Cited by 3 publications

References 9 publications

Archive of Mechanical Engineering

Archive of Mechanical Engineering

Design of Absorber in a Machine Shaft Based on Stability Maximization

Optimal parameters of tuned mass dampers for an inverted pendulum with two degrees of freedom

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