Flexural vibration reduction of hinged periodic beam–foundation systems

The aim of this study was to obtain bandgaps that are much better, that is at lower frequencies and in broader frequency ranges. Novel nonuniform metamaterial beams with periodically variable cross sections and inertial amplification mechanisms are designed and investigated by numerical and experimental methods. Flexural vibration equations of the nonuniform metamaterial beams are established, and the enhanced bandgap and vibration reduction properties are achieved by combining Bragg scattering and the inertial amplification mechanisms. Numerical results of the bandgaps for the periodic elastic beams with and without the inertial amplification mechanisms are validated by comparing them with the results of vibration experiments. Effects of the amplification mass and angle on the bandgap properties are investigated. Larger amplification mass and angle lead to much enhanced bandgap performances of the nonuniform metamaterial beams in lower to higher frequency ranges.

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A Numerical and Experimental Study on an Interconnected Metamaterial for Flexural Vibration Control Based on Modal Strain Energy

Applied Sciences ◽

10.3390/app11104530 ◽

2021 ◽

Vol 11 (10) ◽

pp. 4530

Author(s):

Hyun-Guk Kim ◽

Onyu Jeon ◽

Semyung Wang

Keyword(s):

Strain Energy ◽

Single Phase ◽

Vibration Reduction ◽

Flexural Vibration ◽

Impact Testing ◽

Response Analysis ◽

3D Printer ◽

Frequency Response Analysis ◽

Modal Strain Energy ◽

Bloch Mode

In this study, an interconnected metamaterial was proposed to suppress flexural vibration. The interconnected metamaterial can improve the manufacturing and installation processes in terms of convenience because it can be fabricated in the form of a modular multi-celled structure with a single-phase material. To evaluate the vibration reduction performance of the metamaterial, stopband analysis was performed, as it solves an iterative eigenvalue problem for the wave vector domain. In order to identify the Bloch mode that contributes to flexural vibration, a concept to extract the Bloch mode based on the modal strain energy was proposed. The vibration-reduction performance of the interconnected metamaterial was numerically verified by using a frequency-response analysis of the multi-celled structure. The interconnected metamaterial proposed in this study was fabricated by using a 3D printer. Finally, the vibration-reduction performance of the multi-celled structure was experimentally verified by using impact testing.

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Reduction of flexural vibration of railway vehicle carbody by using elastic torus (Validation of vibration reduction effect using actual railway vehicle and numerical investigations on the vibration reduction mechanism)

Transactions of the JSME (in Japanese) ◽

10.1299/transjsme.16-00342 ◽

2017 ◽

Vol 83 (846) ◽

pp. 16-00342-16-00342 ◽

Cited By ~ 3

Author(s):

Takahiro TOMIOKA ◽

Satoshi TACHIKAWA ◽

Yuki AKIYAMA ◽

Ken-Ichiro AIDA

Keyword(s):

Vibration Reduction ◽

Flexural Vibration ◽

Railway Vehicle ◽

Reduction Mechanism ◽

Numerical Investigations ◽

Reduction Effect

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Flexural vibration reduction of phononic crystal floating bridge

Proceedings of the 5th International Conference on Civil Engineering and Transportation 2015 ◽

10.2991/iccet-15.2015.266 ◽

2015 ◽

Author(s):

Lin Han ◽

Xiao-Mei Li ◽

Yan Zhang

Keyword(s):

Phononic Crystal ◽

Vibration Reduction ◽

Flexural Vibration ◽

Floating Bridge

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Vibration Control of a Beam Using a Sliding Support

Volume 6B: 18th Biennial Conference on Mechanical Vibration and Noise ◽

10.1115/detc2001/vib-21519 ◽

2001 ◽

Author(s):

Phillip H. Nguyen ◽

Jerry H. Ginsberg

Keyword(s):

Vibration Control ◽

Phase Angle ◽

Parametric Excitation ◽

Equations Of Motion ◽

Vibration Reduction ◽

Flexural Vibration ◽

Basis Functions ◽

Resonant Frequencies ◽

Periodic Fluctuation

Abstract This paper discusses a concept for controlling flexural vibration of a beam in which a pin support oscillates harmonically parallel to the beam’s axis. This induces a periodic fluctuation of the effective inertia and stiffness, which represents a source of parametric excitation. A model of the response is developed by using a Ritz series modified to allow the basis functions to be time, as well as position, dependent. Solutions are obtained by numerically integrating the equations of motion. Vibration control requires identification of the support frequency, amplitude, and phase angle that reduce the overall motion relative to what would be obtained if the support were stationary. It is shown that resonances can be controlled in this manner. However, the concept is shown to be ineffective for broadband vibration reduction because the parametric excitation merely shifts the resonant frequencies, while it also induces new resonances.

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