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Cited by 35Vibration and Dynamic AnalysisVibration Control and Rheological FluidsAcoustic Wave Phenomena Research

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Transmissibility of Bending Vibration of an Elastic Beam

Ding, Hu, Dowell, Earl H., Chen, Li-Qun·2018·Journal of Vibration and Acoustics
DOI 10.1115/1.4038733
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Abstract

This paper proposes an isolation transmissibility for the bending vibration of elastic beams. At both ends, the elastic beam is considered with vertical spring support and free to rotate. The geometric nonlinearity is considered. In order to implement the Galerkin method, the natural modes and frequencies of the bending vibration of the beam are analyzed. In addition, for the first time, the elastic continuum supported by boundary springs is solved by direct numerical method, such as the finite difference method (FDM). Moreover, the detailed procedure of FDM processing boundary conditions and initial conditions is presented. Two numerical approaches are compared to illustrate the correctness of the results. By demonstrating the significant impact, the necessity of elastic support at the boundaries to the vibration isolation of elastic continua is explained. Compared with the vibration transmission with one-term Galerkin truncation, it is proved that it is necessary to consider the high-order bending vibration modes when studying the force transmission of the elastic continua. Furthermore, the numerical examples illustrate that the influences of the system parameters on the bending vibration isolation. This study opens up the research on the vibration isolation of elastic continua, which is of profound significance to the analysis and design of vibration isolation for a wide range of practical engineering applications.

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  • The two transmissivities for the transverse bending vibration of the beam to the ground are significantly different.

    “It was found that the two transmissivities are significantly different.”

    From Vibration control of fluid-conveying pipes: a state-of-the-art review (2023) · cites this paper as [103]

  • The isolation of continuum vibration is quite different from the isolation of single-degree-of-freedom structural vibration.

    “indicating that the isolation of continuum vibration is quite different from the isolation of single-degree-of-freedom structural vibration.”

    From Vibration control of fluid-conveying pipes: a state-of-the-art review (2023) · cites this paper as [103]

  • The quasi-zero stiffness system has a good vibration isolation performance on the transverse vibration of elastic beams.

    “The research showed that the quasi-zero stiffness system has a good vibration isolation performance on the transverse vibration of elastic beams [103,105] .”

    From Vibration control of fluid-conveying pipes: a state-of-the-art review (2023) · cites this paper as [103]

  • The effect of the support stiffness on the transmissibility of the first two modal resonance has an opposite trend.

    “The results showed that the effect of the support stiffness on the transmissibility of the first two modal resonance has an opposite trend”

    From Vibration control of fluid-conveying pipes: a state-of-the-art review (2023) · cites this paper as [103]

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Research works printed but not linked: 34

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Metadata

Authors
Ding, H., Dowell, E. H., & Chen, L.-Q.
Affiliations
  • Shanghai University (CN)
  • Duke University (US)
Corresponding author
Ding, Hu
ORCID
Venue
Journal of Vibration and Acoustics
Publisher
Wiley
Published
2018-01-25
Volume
140
Issue
3
ISSN
  • 0739-3717 (ISSN-L)
  • 1048-9002
  • 1528-8927
DOI
10.1115/1.4038733
OpenAlex
W2774208769
Cited by
35
References
0
Citations by year
2026: 2 · 2025: 3 · 2024: 4 · 2023: 4 · 2022: 3 · 2021: 2 · 2020: 1 · 2019: 8 · 2018: 8
FWCI
2.92
Type
journal article
Language
en
Open access
closed
Locations
Journal of vibration and acoustics (publishedVersion)
Funders
National Science Foundation
Topics
  • Physical Sciences › Engineering › Mechanical Engineering › Vibration and Dynamic Analysis
  • Physical Sciences › Engineering › Civil and Structural Engineering › Vibration Control and Rheological Fluids
  • Physical Sciences › Physics and Astronomy › Acoustics and Ultrasonics › Acoustic Wave Phenomena Research
Keywords
flexural vibration, elastic beams, vibration isolation, transmissibility, geometric nonlinearity, natural modes, force transmission, elastic continuum, Galerkin truncation

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