Free vibration analysis of plate/shell coupled structures by the method of reverberation-ray matrix

Tang, Dong; Yao, Xiongliang; Wu, Guoxun

doi:10.21595/jve.2016.16950

Cited by 10 publications

(2 citation statements)

References 54 publications

(58 reference statements)

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“…( 25) for wavenumbers corresponding to each frequency. The procedure is similar to the process of searching for natural frequencies of engineering structures, which is presented in the previously published literature [54,55]. It won't be covered here again.…”

Section: Wavenumber Spectrum Relation Of the Beam Model Coupled With ...mentioning

confidence: 99%

Multiple resonances, fragmented propagation and homogenized attenuation of the beam model coupled with bi-periodic resonators

Tang

Ran

Zhang

et al. 2023

Preprint

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Wave propagation and attenuation behaviours of beam-resonators coupling model are dominated by the local resonators and the periodicity. Inspired by bi-periodic structures in engineering practice and based on a previous study, beam models coupled with bi-periodic resonators are proposed by introducing a parametric variant resonator into the periodic model. Wavenumber spectrum relation of the bi-periodic coupling system with a parametric variant resonator and several regular resonators is obtained by means of the method of reverberation-ray matrix and solved by numerical techniques. Effects of various parameters of the parametric variant resonator on the wavenumber spectrum characteristics of the bi-periodic models are investigated in numerical examples, which show that the parametric variant resonator results in an additional resonant peak and extra non-local resonant attenuation bands. Bandwidth of the local resonant attenuation band can be broadened by either increasing the translational stiffness or decreasing the mass of the parametric variant resonator. Compared to wavenumber spectrum curves of the beam model coupled with periodic resonators, the introduction of the parametric variant resonator makes the wavenumber spectrum curves of the real part divided into more curved and straight segments in an alternating presentation. The appearance of extra non-local resonant attenuation bands and the decrease of attenuation performance of the original non-local resonant attenuation bands indicates that the attenuation capability of the non-local resonant attenuation bands is homogenized in the frequency domain for the bi-periodic coupling system. The innovative findings and practical suggestions in the whole frequency range could provide potential references for the researchers and engineers in vibration reduction design of bi-periodic structures in engineering practice.

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Section: Wavenumber Spectrum Relation Of the Beam Model Coupled With ...mentioning

confidence: 99%

Multiple resonances, fragmented propagation and homogenized attenuation of the beam model coupled with bi-periodic resonators

Tang

Ran

Zhang

et al. 2023

Preprint

Self Cite

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“…Zhu et al [31] investigated the vibration transmission and power flow behaviour of harmonically excited laminated composite plates attached with an inerter-based suppression device based on the substructure method and analyzed the effects of fibre orientations and different lamination schemes on vibration power flow input and transmission as well as the kinetic energy. Tang et al [32] presented the method of reverberation-ray matrix for the free vibration analysis of plate/shell coupled structures based on the classical thin plate theory and the Flügge thin shell theory, but the method is only applicable to the plate/shell coupled structures where the plate is simply supported boundary conditions on both opposite sides. Wang et al [33] calculated the bending coupling loss factor of L-shaped plate using finite element method (FEM), and analyzed the effect of the plate length, internal loss factor, concentrated mass and boundary condition on coupling loss factor.…”

Section: Introductionmentioning

confidence: 99%

An analytical model for the analysis of vibration and energy flow in a clamped stiffened plate using integral transform technique

Guo,

Zhang

2024

J. vibroeng.

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Based on Kirchhoff thin plate and Mindlin thick plate theories, the vibration and energy flow characteristics of clamped stiffened plate are studied by using the analytical model constructed by finite integral transform method. The results show that the energy flow characteristics of the stiffened plate at the beam/plate coupling interface depend on the position of the rib in the vibration modes of the plate. The effects of shear deformation and rotatory inertia on the energy flow across the beam/plate coupling interface of the stiffened plate are further investigated. It is found that the inclusion of rotatory inertia of the beam and plate in the model only affects the energy flow component controlled by the moment coupling but not that controlled by the shear force coupling. Whilst the inclusion of the shear deformation of the beam and plate mainly causes a decreased amplitude of the energy flow for the mode group where the beam is located away from both the nodal and antinodal lines of modes, in addition to the shear deformation of the plate which also leads to an increased amplitude of the energy flow component controlled by the shear force coupling for the mode group where the beam locates at the antinodal line of modes. The understanding of energy flow characteristics of the stiffened plate at the beam/plate interface is essential to effectively control the noise and vibration problems of structures such as transformer tanks and machine covers.

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Modeling approach and experiments for the free vibration investigations of spatially coupled shell-plate systems with complex shapes

Shao,

Zhang,

Cao

et al. 2024

Engineering Analysis with Boundary Elements

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Free vibration analysis of plate/shell coupled structures by the method of reverberation-ray matrix

Cited by 10 publications

References 54 publications

Multiple resonances, fragmented propagation and homogenized attenuation of the beam model coupled with bi-periodic resonators

Multiple resonances, fragmented propagation and homogenized attenuation of the beam model coupled with bi-periodic resonators

An analytical model for the analysis of vibration and energy flow in a clamped stiffened plate using integral transform technique

Modeling approach and experiments for the free vibration investigations of spatially coupled shell-plate systems with complex shapes

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