Energy flow and performance of a nonlinear vibration isolator exploiting geometric nonlinearity by embedding springs in linkages

Dai, Wei; Li, Tianyun; Yang, Jian

doi:10.1007/s00707-022-03182-x

Cited by 13 publications

(5 citation statements)

References 54 publications

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“…Other relevant parameters are fixed as 𝜆 = 2, 𝐿 h = 𝐿 s = 0.5, 𝜁 1 = 𝜁 2 = 0.01, 𝜇 = 𝜌 = 1 and 𝐹 0 = 0.001 . Also, for comparison purposes, the black and pink lines represent the presence of a linear case with only a vertical spring (𝜆 = 𝜂 = 0) and the DSE case without constraint in the past research [38]. which will be further investigated in Fig.…”

Section: Results Analysismentioning

confidence: 99%

“…For reference, the black line in each figure represents the linear case where only the vertical spring and viscous damper are employed (𝜆 = 𝜂 = 0), while the pink line represents the result of the nonlinear isolator with DSE presented in the past works [38]. The other parameters are 𝐿 h = 0.5, 𝐿 s = 0.5 , 𝑌 1 = 0.30 and tends resonant peak towards lower frequencies.…”

Section: Performance Analysismentioning

confidence: 99%

“…Rich dynamic behavior was observed due to the presence of a flexible foundation. Dai et al [38] found that vibration isolation systems mounted on flexible foundations may exhibit different transmission levels and performances compared to systems with a fixed boundary.…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear vibration isolation performance enhancement using elastic constraint and linkage mechanism

Dai,

Xu,

Wang

et al. 2024

Preprint

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This research presents nonlinear vibration isolators with elastic constraint included in linkage mechanism with geometry nonlinearity. The vibration attenuation enhancement of integrating nonlinear elements to a single-stage isolation system and an isolation system with flexible foundation considering the applications in marine engineering or aerospace engineering is investigated. The harmonic balance method (HBM) with the Alternating Frequency/Time (AFT) scheme and a time-marching method are employed to calculate responses. The vibration transmissibilities and power transmission indices are taken as measures of isolation performance. The results show that the nonlinear isolator dramatically decreases power flow and vibration transmissibility to the base in a broad frequency range. The use of the elastic constraint enables wider ranges of parameters of spring-linkage in design and the proposed isolator can provide improved vibration attenuation capabilities in low frequencies. By a collaborative design using the elastic constraint and linkage mechanism, the peaks in curves force transmission and power flow to the flexible foundation can be significantly suppressed and shifted towards lower frequencies. The study demonstrates that the proposed isolator designs can be further applied in the isolation platform of mechanical systems on board.

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Section: Results Analysismentioning

confidence: 99%

Section: Performance Analysismentioning

confidence: 99%

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Nonlinear vibration isolation performance enhancement using elastic constraint and linkage mechanism

Dai,

Xu,

Wang

et al. 2024

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…Nonlinear isolators, owing to their wider frequency bands and superior isolation efficiency relative to linear isolators, have emerged as a focal point of research [1,2]. Within this class, quasi-zero stiffness (QZS) represents a typical nonlinear vibration isolation feature [2], capable of imparting high-static-low-dynamic-stiffness (HSLDS) properties and furnishing a range of anti-vibration structures such as beams [4,5], cam-roller [6,7], horizontal springs [8][9], and magnets [11][12][13]. Bio-inspired vibration isolators, on the other hand, draw inspiration from natural systems to create effective and efficient solutions for vibration control, including achieving QZS characteristics [14].…”

Section: Introductionmentioning

confidence: 99%

Palm petiole inspired nonlinear anti-vibration ring with deformable crescent-shaped cross-section

Feng,

et al. 2024

Nonlinear Dyn

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This paper presents a novel nonlinear anti-vibration ring with deformable crescent-shaped cross-sections (NAVR-DCCS) inspired by the petiole of palm leaf. The proposed NAVR-DCCS exhibits markedly enhanced nonlinear quasi-zero stiffness through deformable cross-sections, which endow it with advantageous vibration isolation attributes. A comprehensive investigation of the structural nonlinearities and dynamic behaviors of the NAVR-DCCS is undertaken, with emphasis on the principle of cross-sectional deformation and its nonlinear stiffness properties. This study explores the influence of pertinent parameters on the nonlinear characteristics and displacement transmissibility. Tensile-compression testing and transmissibility measurements are conducted to verify theoretical calculations, and the experimental results are found to be in congruity with theoretical predictions. The beneficial nonlinear characteristics of the NAVR-DCCS hold promise for providing a passive vibration isolation methodology, representing a potentially innovative solution with broad-reaching applicability and utility across diverse research domains.

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“…The first engineering application of inerter is in the suspension of Formula One racing cars [17], after which, there have been many studies on the application of inerter in suspension [18][19][20][21][22]. Inerter has also been used in wind turbine structural control [23][24][25], civil engineering structures [26][27][28][29][30], and some other vibration control systems [31][32][33][34][35][36][37][38][39][40].…”

Section: Introductionmentioning

confidence: 99%

Analytical optimization of an inerter‐based dynamic vibration absorber for suppressing plate vibration

Zhang,

Chen

2024

IET Control Theory & Appl

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An inerter‐based dynamic vibration absorber (IDVA) is proposed and applied to suppress the vibration of a plate. The dynamic model of a thin rectangular plate attached with an IDVA is established and the frequency response function of the transverse displacement of the plate is derived through the classical vibration theory and the analysis in the domain. In addition, the equation for frequency ratios of fixed points is obtained, and the condition for the existence of four fixed points is found by investigating the problem of solving quartic equations. Moreover, the extended fixed‐point method is employed to analytically obtain the optimal parameters of the IDVA attached to a plate, the expressions of the optimal damping ratio and other dimensionless qualities are presented.

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Energy flow and performance of a nonlinear vibration isolator exploiting geometric nonlinearity by embedding springs in linkages

Cited by 13 publications

References 54 publications

Nonlinear vibration isolation performance enhancement using elastic constraint and linkage mechanism

Nonlinear vibration isolation performance enhancement using elastic constraint and linkage mechanism

Palm petiole inspired nonlinear anti-vibration ring with deformable crescent-shaped cross-section

Analytical optimization of an inerter‐based dynamic vibration absorber for suppressing plate vibration

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