Flexural vibration band gaps in Euler-Bernoulli beams with locally resonant structures with two degrees of freedom

2006 ◽  
Vol 73 (6) ◽  
Author(s):  
Dianlong Yu ◽  
Yaozong Liu ◽  
Honggang Zhao ◽  
Gang Wang ◽  
Jing Qiu
Keyword(s):  
Degrees Of Freedom ◽  
Flexural Vibration ◽  
Band Gaps ◽  
Vibration Band ◽  
Two Degrees Of Freedom ◽  
Resonant Structures

Lateral flexural vibration reduction in a periodic piping system enhanced with two-degrees-of-freedom resonators

2021 ◽  
pp. 146442072110276
Author(s):  
Mohd Iqbal ◽  
Anil Kumar ◽  
Oreste Salvatore Bursi
Keyword(s):  
Band Gap ◽  
Degrees Of Freedom ◽  
Extreme Values ◽  
Flexural Vibration ◽  
Band Gaps ◽  
Natural Mode ◽  
Piping System ◽  
Practical Case ◽  
Two Degrees Of Freedom ◽  
Special Cases

Pipe systems are commonly used in the process and power industries to transport fluid from one terminal to others. Propagation behaviour of lateral flexural waves in a pipe coupled with periodic rack structure is investigated. The pipe-rack system considered in this study is a practical case and is realized as a pipe on periodic elastic supports, while a pipe on simple and without supports represents special cases when the rack stiffness leads to extreme values. The propagation constant relations in terms of frequency are derived using Bloch–Floquet theorem which are successively verified with finite element models. The results show that a pipe with rack creates a narrow locally resonant band gap in low-frequency range which is caused by the first natural mode of the rack. Conversely, a pipe on simple supports entails only Bragg-type band gaps, while a pipe without supports carries no band gap. For tuning the band gap properties, a two-degrees-of-freedom lateral localized resonator is attached to the centre of each unit cell of the pipe. It is found that certain frequency ranges in the targeted pass bands are effectively controlled by the resonator. Furthermore, the effect of various resonator parameters, i.e. mass ratio, stiffness and damping, on band gaps is examined. It is observed that the band gaps are vanished when damping is introduced in the system. The results show a promising way to flexural vibration control of a periodic piping system with various boundary conditions.

Flexural vibration band gaps in thin plates with two-dimensional binary locally resonant structures

2006 ◽  
Vol 15 (2) ◽  
pp. 266-271 ◽  
Author(s):  
Yu Dian-Long ◽  
Wang Gang ◽  
Liu Yao-Zong ◽  
Wen Ji-Hong ◽  
Qiu Jing
Keyword(s):  
Flexural Vibration ◽  
Band Gaps ◽  
Thin Plates ◽  
Vibration Band ◽  
Two Dimensional ◽  
Resonant Structures

Flexural vibration band gaps in Timoshenko beams with locally resonant structures

2006 ◽  
Vol 100 (12) ◽  
pp. 124901 ◽  
Author(s):  
Dianlong Yu ◽  
Yaozong Liu ◽  
Gang Wang ◽  
Honggang Zhao ◽  
Jing Qiu
Keyword(s):  
Flexural Vibration ◽  
Band Gaps ◽  
Vibration Band ◽  
Timoshenko Beams ◽  
Resonant Structures

Flexural Vibration Band Gaps in a Ternary Phononic Crystal Thin Plate

2011 ◽  
Vol 675-677 ◽  
pp. 1085-1088
Author(s):  
Zong Jian Yao ◽  
Gui Lan Yu ◽  
Jian Bao Li
Keyword(s):  
Band Gap ◽  
Thin Plate ◽  
Mass Density ◽  
Phononic Crystal ◽  
Flexural Vibration ◽  
Expansion Method ◽  
Band Gaps ◽  
Physical Parameters ◽  
Vibration Band ◽  
Filling Fraction

The band structures of flexural waves in a ternary locally resonant phononic crystal thin plate are studied using the improved plane wave expansion method. And the thin concrete plate composed of a square array of steel cylinders hemmed around by rubber is considered here. Absolute band gaps of flexural vibration with low frequency are shown. The calculation results show that the band gap width is strongly dependent on the filling fraction, the radius ratio, the mass density and the Young’s modulus contrasts between the core and the coating. So by changing these physical parameters, the required band gap could be obtained.

Complete flexural vibration band gaps in membrane-like lattice structures

2006 ◽  
Vol 357 (2) ◽  
pp. 154-158 ◽  
Author(s):  
Dianlong Yu ◽  
Yaozong Liu ◽  
Jing Qiu ◽  
Gang Wang ◽  
Honggang Zhao
Keyword(s):  
Flexural Vibration ◽  
Band Gaps ◽  
Vibration Band ◽  
Lattice Structures

scholarly journals Band Gaps Characteristics Analysis of Periodic Oscillator Coupled Damping Beam

Materials ◽  
2020 ◽  
Vol 13 (24) ◽  
pp. 5748
Author(s):  
Li Tang ◽  
Xiongliang Yao ◽  
Guoxun Wu ◽  
Dong Tang
Keyword(s):  
Flexural Vibration ◽  
Wave Dispersion ◽  
Band Gaps ◽  
Structural Vibration ◽  
Flexural Wave ◽  
Beam Model ◽  
Vibration Band ◽  
Engineering Structures ◽  
Plate Structures ◽  
Characteristics Analysis

The vibration of the periodic oscillator coupled damping beam model is reduced through the band gaps designing method, which can be applied in equivalent engineering structures. In this paper, the flexural wave dispersion relations of the infinite long periodic oscillator coupled damping beam were calculated using the reverberation-ray matrix method combined with the Bloch theorem. The flexural wave vibration frequency response function of the finite long periodic oscillator coupled damping beam was carried out using the finite element method. The flexural wave vibration band gaps occur in the infinite long periodic oscillator coupled damping beam model in both the analytical and numerical results. In these band gaps, flexural waves’ propagation is prohibited, and flexural vibration is significantly suppressed. Furthermore, the effects of structure and material parameters on the flexural wave vibration band gaps characteristics are studied. Thus, the structural vibration reduction design can be realized by adjusting the related parameters of the periodic coupled damping beam structures and the equivalent 2D periodic stiffened plate structures.

Flexural vibration band gaps in Bragg acoustical hyperstructure beam with local-resonance system

2019 ◽  
Vol 33 (23) ◽  
pp. 1950278 ◽  
Author(s):  
X. F. Lei ◽  
H. P. Hou ◽  
P. Liu ◽  
Z. F. Xu ◽  
S. H. Liu ◽  
...  
Keyword(s):  
Theoretical Model ◽  
Transmission Spectrum ◽  
Composite Beam ◽  
Reaction Force ◽  
Flexural Vibration ◽  
Reversed Phase ◽  
Band Gaps ◽  
Vibration Band ◽  
Resonance System ◽  
Local Resonance

Bragg acoustical hyperstructure can scatter elastic wave, local resonance system can fight against vibration by the reaction force with reversed phase in low-frequency range, for improving the scattering performance of Bragg hyperstructure, a novel composite beam of Bragg beam with local resonator is investigated theoretically. Its dispersion relations and bang gaps are calculated by the established theoretical model. In order to confirm the veritable existence of band gaps, the transmission spectrum of flexural vibration waves are also studied by finite-element method, and comparing the relationship of vibration transmission spectrum and band gaps, the results indicate that the proposed theoretical model can accurately predict the band gaps of the proposed composite beam. For probing the dispersion mechanics, comparing the band gaps and modes shapes of the proposed composite beam with an unalloyed Bragg beam, the results denoted that local resonator can add two band gaps at the base of Bragg beam. Further, the changes of the band gaps that depend on the local resonator and on Bragg beam are studied. It is indicated that the total band gaps can be narrowed when the resonance frequency of the local resonators located at the band gaps of the Bragg beam and the branches will become approximately flat. The band gaps will broaden if the branch that depends on the local resonator gets closer to the branch on Bragg beam.

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