Interior two-dimensional acoustic modelling and modal analysis using isogeometric approach

Jin, Guoyong; Xue, Yaqiang; Zhang, Chunyu; Ye, Tiangui; Shi, Kangkang

doi:10.1016/j.jsv.2019.04.015

Cited by 12 publications

(2 citation statements)

References 38 publications

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“…Zhao 4 developed a real-time algorithm for characterizing perforated liners damping at multiple mode frequencies, and comparison is made between the results from the algorithm and those from the short-time fast Fourier transform (FFT)-based techniques. Jin et al 5,6 presented a general Chebyshev-Lagrangian method to obtain the analytical solution for a rectangular acoustic cavity with arbitrary impedance walls. The interior two-dimensional acoustic modeling and modal analysis are presented in the framework of iso geometric analysis (IGA).…”

Section: Introductionmentioning

confidence: 99%

Acoustic field characteristic analysis of the rotary acoustic cavity coupled system

Chen

Zhang

Huang

2022

Journal of Low Frequency Noise, Vibration and Active Control

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The rotary acoustic cavity coupled system can be generated in working conditions of aviation, aerospace, ship, machinery, and other fields. The rotary acoustic cavity includes cylindrical, spherical, and conical acoustic cavities, which integrates into the unified analysis model by iso-parametric transformation in finite element method. To study the acoustic field characteristic of rotary acoustic cavity coupled system, a unified analysis model of rotary acoustic cavity coupled system is established: First, the acoustic field characteristic of the coupled system is researched by improved Fourier series method, and the admissible sound pressure function is constructed by three-dimensional modified Fourier series. Then, the acoustic field domain energy functional is established, and the coupled domain energy functional including the coupled potential energy between the sound cavities is introduced to acquire the total energy functional of the coupled system. Finally, the energy equation is solved by Rayleigh–Ritz method, and the natural frequency and corresponding mode of the coupled system are obtained. The unified analysis model demonstrates excellent convergence and accuracy, which is verified by the results of finite element method. Sound pressure responses of the coupled system are obtained by introducing the internal point sound source excitation. The effect of relevant parameters of the coupled system on natural frequency and sound pressure response is investigated, which can provide theoretical guidance for vibration and noise reduction.

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Section: Introductionmentioning

confidence: 99%

Acoustic field characteristic analysis of the rotary acoustic cavity coupled system

Chen

Zhang

Huang

2022

Journal of Low Frequency Noise, Vibration and Active Control

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“…In this approach, non-uniform rational B-splines (NURBS) functions are used to exactly model the geometry by a coarse discretization mesh (Cottrell et al, 2009). For recent important work on the IGA, one can refer to Lieu et al (2018), Lee et al (2017), Chen et al (2018), Chen et al (2019), Jin et al (2019), and Xue et al (2019).…”

Section: Introductionmentioning

confidence: 99%

Applying isogeometric approach for free vibration, mechanical, and thermal buckling analyses of functionally graded variable-thickness blades

Ansari

Setoodeh

2020

Journal of Vibration and Control

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This article presents free vibration and buckling analyses of functionally graded blades with variable thickness subjected to mechanical and thermal loading using isogeometric analysis as a powerful numerical method. The proposed method is based on deployment of Hamilton’s principle to the two-dimensional kinematics of blades. The governing equations are derived in the context of a modified form of higher order shear deformation plate theory that merely needs C0-continuity (C0-higher order shear deformation plate theory). Without the necessity of defining a shear correction factor, the theory can accurately predict the solution for different thickness-to-length ratios. The numerical predictions for the buckling loads and natural frequencies are successfully compared with the available solutions in the published articles and in the lack of relevant results, finite element analysis using ANSYS is used for verification of the model. The effects of variable thickness and aspect ratio on the natural frequencies and mode shapes known as the frequencies loci veering phenomena are assessed for the first time, which is an important design factor for the blades. The proposed method uses non-uniform rational B-spline element, which is able to approximate linear and nonlinear thickness distribution and the couple modes with an excellent numerical consistency. The influences of aspect ratio, thickness variation, taper ratio, volume fraction exponent, and boundary conditions on the free vibration and buckling of variable-thickness functionally graded blades are also examined.

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Sound absorption behaviors of metamaterials with periodic multi-resonator and voids in water

Jin

Shi

et al. 2020

Applied Acoustics

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Interior two-dimensional acoustic modelling and modal analysis using isogeometric approach

Cited by 12 publications

References 38 publications

Acoustic field characteristic analysis of the rotary acoustic cavity coupled system

Acoustic field characteristic analysis of the rotary acoustic cavity coupled system

Applying isogeometric approach for free vibration, mechanical, and thermal buckling analyses of functionally graded variable-thickness blades

Sound absorption behaviors of metamaterials with periodic multi-resonator and voids in water

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