Vibrations

Hartog, J. P. Den

doi:10.1016/0016-0032(65)90545-4

Cited by 28 publications

(41 citation statements)

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“…It is well-known that tuning of a tuned mass damper follows the work by Den Hartog [34], whereby the frequency ratio of the absorber over the primary system should be equal to 1/ 1 𝜇 . Applying this condition to the herein absorber, we arrive at the following condition:…”

Section: Case Iii: Effective Vibration Mitigation Strategy Using Tri-...mentioning

confidence: 99%

“…Pendulum Tuned Mass Damper (PTMD) is a dynamic absorbing mechanism similar to a Tuned Mass Damper (TMD) [34], [35], [36], which can be used to absorb vibrations of an original system subjected to a harmonic or stochastic excitation. The tuning of a TMD is implemented by adding a secondary mass to the original oscillatory single-degree-of-freedom system, where the mass and the stiffness of the TMD are selected appropriately.…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear vibration mitigation of a crane’s payload using pendulum absorber

Yurchenko

Alevras

Zhou

et al. 2021

Mechanical Systems and Signal Processing

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Section: Case Iii: Effective Vibration Mitigation Strategy Using Tri-...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Nonlinear vibration mitigation of a crane’s payload using pendulum absorber

Yurchenko

Alevras

Zhou

et al. 2021

Mechanical Systems and Signal Processing

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“…Most of the studies used the minimization of the initial structure amplitude. Den Hartog (1985) introduced the fixed-point theorem. In this theorem, there are two fixed points that are independent of damping, and optimal properties of the vibration absorbers are calculated at these points that have the same height.…”

Section: Correlations Development For Dva Attached To Undamped Struct...mentioning

confidence: 99%

“…Most studies applied minimization of the initial amplitude of the structure (Ormondroyd, 1928). Den Hartog (1985), first tackled the optimum solution of a damped dynamic vibration absorber (DVA) that is attached to a classical structure free of damping. His study utilized the feature of "fixed-point" frequencies.…”

Section: Introductionmentioning

confidence: 99%

A simple method to design and analyze dynamic vibration absorber using dimensional analysis

Karimi

Shemshadi

Firoozfam

2020

Journal of Vibration and Control

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Addition of mass, spring, and damper as a dynamic vibration absorber to a structure that is vibrating out of the permissible vibration range can be an economic and applicable solution to reduce structure vibrations provided that the absorber is designed and adjusted properly. In practice, real structures are damped, which can make it impossible to design vibration absorbers without using numerical solutions and complicated calculations. Using dimensional analysis technique and data obtained from system simulation by MATLAB Simulink, this study aims to provide simple and reliable correlations for designing and analyzing vibration absorbers. For this purpose, the motion equations of a one-degree-of-freedom system with a vibration absorber and a harmonic force applied is simulated. Use of a set of simulation output data to minimize the maximum motion amplitude of the structure along with multiple linear regression method enables determination of unknown coefficients of the correlations derived from dimensional analysis. Studies show that mass ratio and stiffness ratio are important for designing vibration absorbers for undamped and damped structures, respectively. The correlations are validated using the methods introduced in previous studies. Also, an example of vibration absorbers is calculated for an air compressor. The vibration absorber designed by this methodology results in a reduction in the magnification factor of the compressor by 78%.

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“…The hope to achieve better performance is based on the simple observation that the pendulum for low energies performs oscillations with close to natural frequency, and rotates for larger energies. So, if one tunes the natural frequency of the pendulum in accordance with the frequency content of the primary system, for the case of small energies one should observe a dynamics similar to that of a tuned mass damper (TMD) (Den Hartog, 2008). For larger energies, however, the pendulum is expected to work in a manner similar to that of the rotational NES.…”

Section: Introductionmentioning

confidence: 99%

Tuned pendulum as nonlinear energy sink for broad energy range

Farid

Gendelman

2016

Journal of Vibration and Control

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Nonlinear energy sinks (NES) are widely studied as a possible engineering solution for mitigation of steady-state, impulsive and transient broadband excitations. Current work is devoted to the applicability of common pendulum as the NES for mitigation of impulsive excitations. It turns out that the pendulum NES can overcome one of the main shortcomings of more traditional NES designs, since it is able to mitigate excitation of a primary system in a relatively wide range of initial energies. This is because the pendulum can be captured into a resonance with primary oscillator both for rotational and oscillatory responses. If parameters are chosen properly, for small energies the pendulum responds almost as a common tuned mass damper. However, at higher energies, the pendulum acts as rotational NES. Thus, relatively broad diapason of initial energies can be covered. This paper presents numeric evidence for the efficiency of this design of the NES and discusses its optimal tuning. Another important finding is that the NES’s efficiency exhibits rather broad deviations for different realizations of the initial conditions with the same energy. We present a theoretical analysis of the damped targeted energy transfer into the pendulum NES from the primary mass with an account of corrections caused by the effect of gravity.

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Vibrations

Cited by 28 publications

References 0 publications

Nonlinear vibration mitigation of a crane’s payload using pendulum absorber

Nonlinear vibration mitigation of a crane’s payload using pendulum absorber

A simple method to design and analyze dynamic vibration absorber using dimensional analysis

Tuned pendulum as nonlinear energy sink for broad energy range

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