A reduced finite element model for sound propagation in straight and slowly varying cross section ducts

Finite Elements in Analysis and Design - Tập 201 - Trang 103692 - 2022
Ahmed Kessemtini1, Mohamed Taktak1, Mohamed Haddar1
1Mechanics, Modelling and Production Laboratory (LA2MP), National School of Engineers of Sfax, University of Sfax, BP. 1173, Sfax 3038, Tunisia

Tài liệu tham khảo

Kwon, 1983 Nayfeh, 1973, Acoustic propagation in ducts with varying cross section, J. Acoust. Soc. Am., 54, 1654, 10.1121/1.1914464 Rienstra, 1999, Sound transmission in slowly varying circular and annular lined ducts with flow, J. Fluid. Mech., 380, 279, 10.1017/S0022112098003607 Rienstra, 2001, A numerical comparison between the multiple-scales and finite-element solution for sound propagation in lined flow ducts, J. Fluid. Mech., 437, 367, 10.1017/S0022112001004438 Rienstra, 2003, Sound propagation in slowly varying lined flow ducts of arbitrary cross-section, J. Fluid. Mech., 495, 157, 10.1017/S0022112003006050 Treyssede, 2004, Comparison of a finite element model with a multiple-scales solution for sound propagation in varying ducts with swirling flows, J. Acoust. Soc. Am., 115, 2716, 10.1121/1.1707084 Nielsen, 2016, Tunnelling effects for acoustic waves in slowly varying axisymmetric flow ducts, J. Sound. Vib., 380, 180, 10.1016/j.jsv.2016.06.003 Astley, 2011, Computational aero-acoustics for fan duct propagation and radiation, current status and application to turbofan liner optimisation, J. Sound. Vib., 330, 3832, 10.1016/j.jsv.2011.03.022 Mead, 1973, A general theory of harmonic wave propagation in linear periodic systems with multiple coupling, J. Sound. Vib., 27, 235, 10.1016/0022-460X(73)90064-3 Zhong, 1995, On the direct solution of wave propagation for repetitive structures, J. Sound. Vib., 181, 485, 10.1006/jsvi.1995.0153 Mace, 2005, Finite element prediction of wave motion in structural waveguides, J. Acoust. Soc. Am., 117, 2835, 10.1121/1.1887126 Duhamel, 2006, Finite element analysis of the vibrations of waveguides and periodic structures, J. Sound. Vib., 294, 205, 10.1016/j.jsv.2005.11.014 Mace, 2008, Modelling wave propagation in two-dimensional structures using finite element analysis, J. Sound. Vib., 318, 884, 10.1016/j.jsv.2008.04.039 Renno, 2010, On the forced response of wave guides using the wave and finite element method, J. Sound. Vib., 329, 5474, 10.1016/j.jsv.2010.07.009 Mencik, 2016, A wave finite element-based approach for the modeling of periodic structures with local perturbations, Finite Elem. Anal. Des., 121, 40, 10.1016/j.finel.2016.07.010 Nobrega, 2016, Vibration band gaps for elastic metamaterial rods using wave finite element method, Mech. Syst. Signal Process., 79, 192, 10.1016/j.ymssp.2016.02.059 Hoang, 2020, Wave finite element method for waveguides and periodic structures subjected to arbitrary loads, Finite Elem. Anal. Des., 179, 10.1016/j.finel.2020.103437 Beli, 2018, A projection-based model reduction strategy for the wave and vibration analysis of rotating periodic structures, Comput. Mech., 62, 1511, 10.1007/s00466-018-1576-7 Kingan, 2019, Sound transmission through cylindrical structures using a wave and finite element method, Wave Motion, 87, 58, 10.1016/j.wavemoti.2018.07.009 Silva, 2015, Wave finite element-based superelements for forced response analysis of coupled systems via dynamic substructuring, Internat. J. Numer. Methods Engrg., 107, 453, 10.1002/nme.5176 Timorian, 2019, Spectral analysis and structural response of periodic and quasi-periodic beams, Proc. Inst. Mech. Eng. C., 233, 7498, 10.1177/0954406219888948 Ernoult, 2020, Transfer matrix of a truncated cone with viscothermal losses: application of the WKB method, Acta Acust., 4, 7, 10.1051/aacus/2020005 Arenas, 2001, A note on a WKB application to a duct of varying cross-section, Appl. Math. Lett., 14, 667, 10.1016/S0893-9659(01)80024-0 Brambley, 2008, Sound transmission in strongly curved slowly varying cylindrical ducts with flow, J. Fluid. Mech., 596, 387, 10.1017/S0022112007009603 Rosenfeld, 1975, Wave propagation in nonuniform elastic rods, J. Acoust. Soc. Am., 57, 1094, 10.1121/1.380558 Nielsen, 2014, The WKB approximation for analysis of wave propagation in curved rods of slowly varying diameter, Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci., 470 Morsbø l, 2016, A WKB approximation of elastic waves travelling on a shell of revolution, J. Sound Vib., 375, 162, 10.1016/j.jsv.2016.04.001 Gridin, 2003, The high-frequency asymptotic analysis of guided waves in a circular elastic annulus, Wave Motion, 38, 67, 10.1016/S0165-2125(03)00002-7 Cooper, 2000, Trapped acoustic modes in aeroengine intakes with swirling flow, J. Fluid Mech., 419, 151, 10.1017/S0022112000001245 Smith, 2012, Flow and geometry induced scattering of high frequency acoustic duct modes, Wave Motion, 49, 109, 10.1016/j.wavemoti.2011.07.006 Chesnel, 2018, Simple examples of perfectly invisible and trapped modes in waveguides, Q. J. Mech. Appl. Math., 71, 297, 10.1093/qjmam/hby006 Fabro, 2019, Wave propagation in slowly varying weveguides using a finite element approach, J. Sound. Vib., 442, 308, 10.1016/j.jsv.2018.11.004 Craggs, 1989, The application of the transfer matrix and matrix condensation methods with finite elements to duct acoustics, J. Sound Vib., 132, 393, 10.1016/0022-460X(89)90633-0 Waki, 2009, Free and forced vibrations of a tyre using a wave/finite element approach, J. Sound Vib., 323, 737, 10.1016/j.jsv.2009.01.006 Morfey, 1971, Sound transmission and generation in ducts with flow, J. Sound Vib., 14, 37, 10.1016/0022-460X(71)90506-2 Langley, 1999, Reflection and transmission along inhomogeneous waveguides, J. Sound Vib., 227, 131, 10.1006/jsvi.1999.2337 Pierce, 1970, Physical interpretation of the WKB or eikonal approximation for waves and vibrations in inhomogeneous beams and plates, J. Acoust. Soc. Am., 48, 275, 10.1121/1.1912125 Ovenden, 2005, A uniformly valid multiple scales solution for cut-on cut-off transition of sound in flow ducts, J. Sound Vib., 286, 403, 10.1016/j.jsv.2004.12.009 Biggs, 2012, Wave trapping in a two-dimensional sound-soft or sound-hard acoustic waveguide of slowly-varying width, Wave Motion, 49, 24, 10.1016/j.wavemoti.2011.06.004