A combined dynamic analysis method for geometrically nonlinear vibration isolators with elastic rings

Hu, Zhan; Zheng, Gangtie

doi:10.1016/j.ymssp.2016.02.057

Cited by 17 publications

(8 citation statements)

References 20 publications

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“…[12] and are plotted in 'dash-line'. It should be known that these frequency responses are calculated based on the proposed analytical method and corresponding system identified by the frequency-domain experiment in the previous research [5]. Likely, other calculated results in following comparisons are all stemmed from this identified model.…”

Section: Fig 6 the Instantaneous Modal Frequencymentioning

confidence: 99%

“…7 For all the identification of a nonlinear isolator, the most significant and concerned part is its force static characteristics, including the restoring force and damping force. In our previous research [5], the nonlinear restoring force is obtained by both the numerical calculation based on the curved beam theory and the static experiment with an electro-mechanical testing machine.…”

Section: Fig 6 the Instantaneous Modal Frequencymentioning

confidence: 99%

“…With the symmetrical hardening stiffness under static compression and tension, the push-pull configuration elastic rings would be a potential solution for isolating vibrations and shocks. In our previous research [5], an analytic method combined the geometrically nonlinear theory of curved beams and the harmonic balance method was proposed to study the dynamic properties of this type isolator. This method overcomes the difficulty in calculating the vibration with large deformations and succeeds in investigating the nonlinear dynamic characteristics of lock situation and usual jump.…”

Section: Introductionmentioning

confidence: 99%

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Free Vibration Identification of the Geometrically Nonlinear Isolator with Elastic Rings by Using Hilbert Transform

Wang

Zheng

2017

Nonlinear Dynamics, Volume 1

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The geometrically nonlinear isolator formed by a pair of elastic circular springs in the push-pull configuration has the symmetrical hardening stiffness under static compression and tension. Thus, it could be a potential solution to satisfy the dual isolation requirements of steady-state vibrations and transient shocks in the engineering application. The nonlinear transmissibility of this isolator under large-amplitude sinusoidal excitations has been investigated theoretically and experimentally in our previous research. In this paper, the Hilbert transform is applied to identify the geometrically nonlinear isolator with measured free vibration responses in the time domain. The measured responses are acquired by a laser vibrometer with large initial deformations. Since all the involved instantaneous modal parameters contain fast oscillations around their average values, the empirical mode decomposition is employed to smooth the identified results of the instantaneous frequency and damping coefficient. It is found that the backbone curve obtained experimentally conforms well to the previously measured frequency responses. The identified nonlinear stiffness and damping force characteristics of this geometrically nonlinear isolator have good agreements with the results from the theoretically calculation and the frequency-domain test in our previous research. Therefore, this research provides an efficient approach to analyze the dynamic characteristics of the geometrically nonlinear isolator with push-pull configuration rings and is also beneficial to design the parameters of this isolator.

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Section: Fig 6 the Instantaneous Modal Frequencymentioning

confidence: 99%

Section: Fig 6 the Instantaneous Modal Frequencymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Free Vibration Identification of the Geometrically Nonlinear Isolator with Elastic Rings by Using Hilbert Transform

Wang

Zheng

2017

Nonlinear Dynamics, Volume 1

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“…For decades, many mechanisms related to passive-type mount modules have been studied for different target systems to control the transmissibility of vibration responses [11][12][13][14][15][16]. Since the variation of mechanical properties is not allowable in a passive-type mount device, the system identification and the reliable design sensitivity should be performed during the selection of the characteristics of the mount module [17][18][19][20], and this is difficult in the case of nonlinear behavior in either the mount module itself or the relevant supporting system [21][22][23]. One of the applications of passive-type mount modules is in a power plant in which they are operated in emergency events, such as blackouts, to isolate the harsh excitation arising from the internal combustion engine.…”

Section: Introductionmentioning

confidence: 99%

Design Criterion of Damper Component of Passive-Type Mount Module without Using Base Mass-Block

Kim

2018

Energies

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Passive-type mount modules have been used frequently to isolate excitation from the target mechanical system, and electric power plants use the mount devices to control the harmonic excitation source from a combustion engine. The mount structure is composed of a spring component, a stacked thin-panel, and a heavy base-mass block, and installation as well as maintenance of the structures are difficult. To tackle this problem associated with mount modules, I investigate in this work the feasibility of a simplified mount module with no base mass-block; the harmonic frequency of interest was selected from 30 (Hz) to 120 (Hz) owing to the constant rotating speed of the combustion engine at 1800 (rev/min). The design criterion of the damper components was formulated from the response index at the electric power plant, and the influence of the damper component at the proposed mount was calculated theoretically from the linearized system models. The theoretical result was compared with the measured response index at the electric power plant, and the comparison result revealed the superior capability of the proposed mount module in controlling the reaction motion at the electric power plant.

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“…It is known that there exist plenty more passive nonlinear spring mechanisms, such as variable coil diameter spring, thinwalled rubber cylinder, tensioned string, etc, and much wider range of practically possible nonlinear coefficients with design examples and criteria [18][19][20][21][22] compared to cubic nonlinear damping in the form of f I d or f II d . Second, both force and displacement transmissibility of the presented nonlinear isolator (with nonlinear secondary spring) decreases at the rate of 40dB/decade at high frequencies, which owns better isolation performance than that of current nonlinear damping model of f I d (40dB/decade roll off for force transmissibility and no isolation effects in terms of displacement transmissibility) and f II d (40dB/decade roll off for force transmissibility and 20dB/decade roll off with respect to displacement transmissibility).…”

Section: Introductionmentioning

confidence: 99%

Enhancing the isolation performance by a nonlinear secondary spring in the Zener model

2016

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In order to obtain an isolator with low resonance amplitude as well as good isolation performance at high frequencies, this paper explores the usage of nonlinear stiffness elements to improve the transmissibility efficiency of a sufficient linear damped vibration isolator featured with the Zener model. More specifically, we intend to improve its original poor highfrequency isolation performance and meanwhile maintain or even reduce its already low resonance amplitude by adding a nonlinear secondary spring into the isolator. Its isolation performances are evaluated under two input scenarios namely force transmissibility under force input and displacement transmissibility under base excitations, respectively. Thereafter, both analytical and numerical study is performed to compare the high-frequency transmissibility as well as resonance condition of the nonlinear isolator with its corresponding linear one. Results show that the introduction of nonlinear secondary spring in the Zener model can achieve an ideal improvement, i.e., reducing the transmissibility at high frequencies and meanwhile suppressing the resonance amplitude. It is also shown that both force and displacement transmissibility of the non-

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A combined dynamic analysis method for geometrically nonlinear vibration isolators with elastic rings

Cited by 17 publications

References 20 publications

Free Vibration Identification of the Geometrically Nonlinear Isolator with Elastic Rings by Using Hilbert Transform

Free Vibration Identification of the Geometrically Nonlinear Isolator with Elastic Rings by Using Hilbert Transform

Design Criterion of Damper Component of Passive-Type Mount Module without Using Base Mass-Block

Enhancing the isolation performance by a nonlinear secondary spring in the Zener model

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