Nonlinear transverse vibrations of a slightly curved beam with hinged–hinged boundaries subject to axial loads

Zhai, Yujia; Ma, Zhi-Sai; Ding, Qian; Wang, Xiaopeng; Wang, Tao

doi:10.1007/s00419-022-02162-w

Cited by 8 publications

(3 citation statements)

References 41 publications

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“…Substituting ( 6) into (7), the equation of motion for the vibration isolation performance of the D-ANAVS can be obtained as…”

Section: ˆˆ()mentioning

confidence: 99%

“…The methods to achieve QZS characteristic has been a prominent research area among scholars. Most of them consist of positive stiffness unit in parallel with negative stiffness unit, such as: mechanical springs [4,5], pre-flexed beams [6,7], electromagnetic springs [8], bionic structures [9], geometric nonlinearities [10], composite structures [11], and the other types. Mechanical springs mechanism was the first proposed QZS structure.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Design of a Dual-arched Structure for Low-frequency Vibration Isolation with Enhanced Quasi-Zero-Stiffness Characteristics

Feng,

Guo,

Feng

et al. 2023

Preprint

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This paper proposes a dual-arched nonlinear anti-vibration structure (D-ANAVS) and systematically investigates its nonlinear characteristics to assess its vibration suppression performance. The D-ANAVS consists of a dual arrangement of arch-shaped arcs, which demonstrates a distinctive characteristic characterized by the combination of linear and geometric nonlinear stiffness during the compression. This distinctive attribute distinguishes the D-ANAVS from other structures, endowing it with an extended quasi-zero stiffness range in displacement and greatly enhancing its performance in effectively suppressing vibrations. A lumped parameter model of the D-ANAVS is introduced to comprehensively analyze its static and dynamic behaviors. The investigation specifically focuses on examining the influence of various structural parameters on the observed nonlinearities. A prototype is meticulously designed and fabricated using thermoplastic polyurethane (TPU) material. Experimental tests are conducted to assess its efficacy in suppressing vibrations. The obtained results unequivocally demonstrate the remarkable capability of the D-ANAVS to significantly attenuate vibrations within the low-frequency range. The results obtained from this study offer compelling empirical evidence that substantiates the effectiveness of the D-ANAVS as a robust vibration suppression solution applicable to a wide range of engineering applications.

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“…Substituting ( 6) into (7), the equation of motion for the vibration isolation performance of the D-ANAVS can be obtained as…”

Section: ˆˆ()mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Design of a Dual-arched Structure for Low-frequency Vibration Isolation with Enhanced Quasi-Zero-Stiffness Characteristics

Feng,

Guo,

Feng

et al. 2023

Preprint

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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Forced resonance of a buckled beam flexibly restrained at the inner point

Jing,

Shao,

Mao

et al. 2024

Engineering Structures

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Nonlinear transverse vibrations of a slightly curved beam with hinged–hinged boundaries subject to axial loads

Cited by 8 publications

References 41 publications

Design of a Dual-arched Structure for Low-frequency Vibration Isolation with Enhanced Quasi-Zero-Stiffness Characteristics

Design of a Dual-arched Structure for Low-frequency Vibration Isolation with Enhanced Quasi-Zero-Stiffness Characteristics

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

Forced resonance of a buckled beam flexibly restrained at the inner point

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