Establishment of the equal-peak principle for a multiple-DOF nonlinear system with multiple time-delayed vibration absorbers

Meng, Hao; Sun, Xiuting; Xu, Jian; Wang, Feng

doi:10.1007/s11071-021-06301-w

Cited by 7 publications

(2 citation statements)

References 29 publications

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“…Where 1 ( ) r  and 2 ( ) r  are the real and imaginary parts of equation (10), respectively, and 1 ( )…”

Section: Modeling and Formulationmentioning

confidence: 99%

“…By adjusting the reasonable time-delay term, the vibration reduction amplitude of the car body can reach 68.87% at most compared with the passive system. Meng [10] designed a dynamic vibration absorber with multiple time delays, which uses the equal peak principle to suppress the multi-peak vibration of multi-degree of freedom(M-DOF) nonlinear system. A practical example is used to prove that the time-delay vibration absorber(TDVA) has the ability of multi-modal vibration suppression and achieves obvious wide-band vibration suppression effect.…”

Section: Introductionmentioning

confidence: 99%

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Amplitude reduction optimization of time delay semi-active control for aircraft landing gear shimmy

Zhao

2022

J. Phys.: Conf. Ser.

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Considering the time delay issue in the process of aircraft landing gear shimmy, the time delay semi-active control is used to achieve the purpose of amplitude reduction optimization. Firstly, in order to eliminate the influence of dimensionality and make the results better describe the objective universal law, after dimensionless treatment of the shimmy equations, the influence of dimensionless lateral bending damping coefficient and lateral bending stiffness coefficient of strut on the shimmy amplitude is analyzed. Then, in order to further reduce the amplitude, the time delay semi-active control term is introduced into the shimmy equations, and a mathematical method for solving the characteristic equation of the time-delay dynamic equation is proposed. Designing optimization criterion limits the amplitude of the first resonance to a small enough range. The time delay semi-active control can achieve good vibration reduction effect in the whole frequency domain and eliminate the second resonance. Finally, it is verified and compared in the frequency domain and time domain, the correctness of the calculation and the superiority of time delay semi-active control are proved.

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“…Where 1 ( ) r  and 2 ( ) r  are the real and imaginary parts of equation (10), respectively, and 1 ( )…”

Section: Modeling and Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Amplitude reduction optimization of time delay semi-active control for aircraft landing gear shimmy

Zhao

2022

J. Phys.: Conf. Ser.

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Time-Delayed Control of Vibration

2024

Nonlinear Dynamics of Time Delay Systems

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Effects of time-delayed vibration absorber on bandwidth of beam for low broadband vibration suppression

Sun,

Qu,

Wang

et al. 2023

Appl. Math. Mech.-Engl. Ed.

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The effects of time-delayed vibration absorber (TDVA) on the dynamic characteristics of a flexible beam are investigated. First, the vibration suppression effect of a single TDVA on a continuous beam is studied. The first optimization criterion is given, and the results show that the introduction of time-delayed feedback control (TDFC) is beneficial to improving the vibration suppression at the anti-resonance band. When a single TDVA is used, the anti-resonance is located at a specific frequency by the optimum design of TDFC parameters. Then, in order to obtain low-frequency and broad bands for vibration suppression, multiple TDVAs are uniformly distributed on a continuous beam, and the relationship between the dynamic responses and the TDFC parameters is investigated. The obtained relationship shows that the TDVA has a significant regulatory effect on the vibration behavior of the continuous beam. The effects of the number of TDVAs and the nonlinearity on the bandgap variation are discussed. As the multiple TDVAs are applied, according to the different requirements on the location and bandwidth of the effective vibration suppression band, the optimization criteria for the TDFC parameters are given, which provides guidance for the applications of TDVAs in practical projects such as bridge and aerospace.

show abstract

Establishment of the equal-peak principle for a multiple-DOF nonlinear system with multiple time-delayed vibration absorbers

Cited by 7 publications

References 29 publications

Amplitude reduction optimization of time delay semi-active control for aircraft landing gear shimmy

Amplitude reduction optimization of time delay semi-active control for aircraft landing gear shimmy

Time-Delayed Control of Vibration

Effects of time-delayed vibration absorber on bandwidth of beam for low broadband vibration suppression

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