Closed-form solutions to the optimization of dynamic vibration absorber attached to multi-degrees-of-freedom damped linear systems under torsional excitation using the fixed-point theory

Vu, Xuan-Truong; Nguyen, Duy-Chinh; Khong, Doan-Dien; Tong, Van-Canh

doi:10.1177/1464419317725216

Cited by 7 publications

(27 citation statements)

References 16 publications

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“…where the optimal parameters of DVA for undamped main system, opt and opt , are determined by using the fixed-point theory. 10,25 From equations (22) to (24), the optimal parameters of DVA for damped main system, sopt , 2 sopt , are determined as…”

Section: Design Optimization Parameters Of Dvasmentioning

confidence: 99%

“…The optimal expressions (equations (25) and 26) for DVA are used to reduce the torsional vibration of the damped main system in a range of excitation frequencies.…”

Section: Design Optimization Parameters Of Dvasmentioning

confidence: 99%

“…And the tuning and damping parameters of the nonoptimal DVAs are considered to be arbitrary ( ¼ 0:3, ¼ 0:2). The tuning and damping parameters of the optimal DVAs are determined according to equations (25) and (26). (25) and (26).…”

Section: Examplementioning

confidence: 99%

“…The tuning and damping parameters of the optimal DVAs are determined according to equations (25) and (26). (25) and (26).…”

Section: Examplementioning

confidence: 99%

“…For undamped primary system under the torsional excitation, the fixedpoint method is used to provide an analytical form for the optimal parameters of the DVA attached to the undamped primary system. 25 However, an analytical approach to design parameters of the DVA attached to the damped primary system has not been studied much. This paper provides a simple but robust approach to determine an approximate analytical solution for optimization of the damped DVA that is attached to the damped main system under torsional excitation.…”

Section: Introductionmentioning

confidence: 99%

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A novel design of the dynamic vibration absorbers for damped main systems under torsional excitation using least squares estimation of the equivalent linearization method

Phuc

Tran

Quyen

2018

Proceedings of the Institution of Mechanical Engineers, Part K:

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Torsional vibration usually occurs in the working process of machines and equipment such as in transmission drive and working shaft of machine tool. To reduce this vibration, the dynamic balancing method and dual mass flywheel systems are applied. There are fewer researches that used the dynamic vibration absorber for reducing the torsional vibration. However, an analytical solution for designing the optimal parameters of dynamic vibration absorbers attached to the damped main system is found to be difficult and complicated. This paper proposes a novel idea to approximately replace an original damped main system by an equivalent undamped system using the least squares estimation of equivalent linearization method. An explicit closed-form expression of the optimal damping ratio and tuning parameters of dynamic vibration absorber are determined for the undamped main system under torsional excitation. The expressions are quite simple and have effective practical applications. Numerical results for time and frequency responses of the system are presented to reveal stronger effect and accuracy of the proposed solution on the damped main system. It is observed that the torsional vibration of the damped main system has been reduced significantly also in the resonant region. The proposed expressions of the optimal parameters are powerful tools for design dynamic vibration absorber to reduce the torsional vibration of rotary system such as the transmission and working shafts, etc.

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Section: Design Optimization Parameters Of Dvasmentioning

confidence: 99%

“…The optimal expressions (equations (25) and 26) for DVA are used to reduce the torsional vibration of the damped main system in a range of excitation frequencies.…”

Section: Design Optimization Parameters Of Dvasmentioning

confidence: 99%

Section: Examplementioning

confidence: 99%

“…The tuning and damping parameters of the optimal DVAs are determined according to equations (25) and (26). (25) and (26).…”

Section: Examplementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

A novel design of the dynamic vibration absorbers for damped main systems under torsional excitation using least squares estimation of the equivalent linearization method

Phuc

Tran

Quyen

2018

Proceedings of the Institution of Mechanical Engineers, Part K:

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Experimental validation of a new hybrid self-supplied crankshaft torsional vibrations damper

Paillot

Besnier

Chesné

et al. 2023

Mechanical Systems and Signal Processing

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

Nguyen

2021

Noise & Vibration Worldwide

Self Cite

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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.

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Closed-form solutions to the optimization of dynamic vibration absorber attached to multi-degrees-of-freedom damped linear systems under torsional excitation using the fixed-point theory

Cited by 7 publications

References 16 publications

A novel design of the dynamic vibration absorbers for damped main systems under torsional excitation using least squares estimation of the equivalent linearization method

A novel design of the dynamic vibration absorbers for damped main systems under torsional excitation using least squares estimation of the equivalent linearization method

Experimental validation of a new hybrid self-supplied crankshaft torsional vibrations damper

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

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