Sandwich structures that are embedded with cellular materials show excellent performance in terms of mechanics, electromagnetics, and acoustics. In this paper, sandwich panels with hybrid cellular cores of hexagonal, re-entrant hexagonal, and rectangular configurations along the panel surface are designed. The spectral element method (SEM) is applied to accurately predict the dynamic performance of the sandwich panels with a reduced number of elements and the system scale within a wide frequency range. The mechanical performance and the acoustic performance at normal incidence of the proposed structures are investigated and compared with conventional honeycomb panels with fixed cell geometries. It was found that the bending stiffness, fundamental frequencies, and sound transmission loss (STL) of the presented sandwich panels can be effectively changed by adjusting their hybrid cellular core configurations. Shape optimization designs of a hybrid cellular core for maximum STL are presented for specified tonal and frequency band cases at normal incidence. Hybrid sandwich panels increase the sound insulation property by 24.7%, 20.6%, and 109.6% for those cases, respectively, compared with conventional panels in this study. These results indicate the potential of sandwich structures with hybrid cellular cores in acoustic attenuation applications. Hybrid cellular cores can lead to inhomogeneous mechanical performance and constitute a broader platform for the optimum mechanical and acoustic design of sandwich structures.
Issue Section:
Research Papers
References
1.
Gibson
, L. J.
, and Ashby
, M. F.
, 1999
, Cellular Solids: Structure and Properties
, Cambridge University Press
, Cambridge, UK
.2.
Kee Paik
, J.
, Thayamballi
, A. K.
, and Sung Kim
, G.
, 1999
, “The Strength Characteristics of Aluminum Honeycomb Sandwich Panels
,” Thin-Walled Struct.
, 35
(3
), pp. 205
–231
.3.
Petras
, A.
, and Sutcliffe
, M. P. F.
, 1999
, “Indentation Resistance of Sandwich Beams
,” Compos. Struct.
, 46
(4
), pp. 413
–424
.4.
Whitty
, J. P. M.
, Alderson
, A.
, Myler
, P.
, and Kandola
, B.
, 2003
, “Towards the Design of Sandwich Panel Composites With Enhanced Mechanical and Thermal Properties by Variation of the in-Plane Poisson's Ratios
,” Compos. Part A
, 34
(6
), pp. 525
–534
.5.
Gu
, S.
, Lu
, T. J.
, and Evans
, A. G.
, 2001
, “On the Design of Two-Dimensional Cellular Metals for Combined Heat Dissipation and Structural Load Capacity
,” Int. J. Heat Mass Transfer
, 44
(11
), pp. 2163
–2175
.6.
Zou
, Z.
, Reid
, S. R.
, Tan
, P. J.
, Li
, S.
, and Harrigan
, J. J.
, 2009
, “Dynamic Crushing of Honeycombs and Features of Shock Fronts
,” Int. J. Impact Eng.
, 36
(1
), pp. 165
–176
.7.
Schultz
, J.
, Griese
, D.
, Ju
, J.
, Shankar
, P.
, Summers
, J. D.
, and Thompson
, L.
, 2012
, “Design of Honeycomb Mesostructures for Crushing Energy Absorption
,” ASME J. Mech. Des.
, 134
(7
), p. 071004
.8.
D'Alessandro
, V.
, Petrone
, G.
, Franco
, F.
, and De Rosa
, S.
, 2013
, “A Review of the Vibroacoustics of Sandwich Panels: Models and Experiments
,” J. Sandwich Struct. Mater.
, 15
(5
), pp. 541
–582
.9.
Zhang
, Q.
, Yang
, X.
, Li
, P.
, Huang
, G.
, Feng
, S.
, Shen
, C.
, Han
, B.
, Zhang
, X.
, Jin
, F.
, Xu
, F.
, and Lu
, T. J.
, 2015
, “Bioinspired Engineering of Honeycomb Structure-Using Nature to Inspire Human Innovation
,” Prog. Mater. Sci.
, 74
, pp. 332
–400
.10.
Kurtze
, G.
, and Watters
, B. G.
, 1959
, “New Wall Design for High Transmission Loss or High Damping
,” J. Acoust. Soc. Am.
, 31
(6
), pp. 739
–748
.11.
Ford
, R. D.
, Lord
, P.
, and Walker
, A. W.
, 1967
, “Sound Transmission Through Sandwich Constructions
,” J. Sound Vib.
, 5
(1
), pp. 9
–21
.12.
Smolenski
, C. P.
, and Krokosky
, E. M.
, 1973
, “Dilational Mode Sound Transmission in Sandwich Panels
,” J. Acoust. Soc. Am.
, 54
(6
), pp. 1449
–1457
.13.
Moore
, J. A.
, and Lyon
, R. H.
, 1991
, “Sound Transmission Loss Characteristics of Sandwich Panel Constructions
,” J. Acoust. Soc. Am.
, 89
(2
), pp. 777
–791
.14.
Evans
, A. G.
, Hutchinson
, J. W.
, Fleck
, N. A.
, Ashby
, M. F.
, and Wadley
, H. N. G.
, 2001
, “The Topological Design of Multifunctional Cellular Metals
,” Prog. Mater. Sci.
, 46
(3–4
), pp. 309
–327
.15.
El-Raheb
, M.
, 1997
, “Frequency Response of a Two-Dimensional Truss-Like Periodic Panel
,” J. Acoust. Soc. Am.
, 101
(6
), pp. 3457
–3465
.16.
El-Raheb
, M.
, and Wagner
, P.
, 1997
, “Transmission of Sound Across a Truss-Like Periodic Panel: 2-D Analysis
,” J. Acoust. Soc. Am.
, 102
(4
), pp. 2176
–2183
.17.
Griese
, D.
, Summers
, J.
, and Thompson
, L.
, 2015
, “The Effect of Honeycomb Core Geometry on the Sound Transmission Performance of Sandwich Panels
,” ASME J. Vib. Acoust.
, 137
(2
), p. 021011
.18.
Moosavimehr
, S. E.
, and Phani
, A. S.
, 2017
, “Sound Transmission Loss Characteristics of Sandwich Panels With a Truss Lattice Core
,” J. Acoust. Soc. Am.
, 141
(4
), pp. 2921
–2932
.19.
Kim
, Y. J.
, and Han
, J. H.
, 2013
, “Identification of Acoustic Characteristics of Honeycomb Sandwich Composite Panels Using Hybrid Analytical/Finite Element Method
,” ASME J. Vib. Acoust.
, 135
(1
), p. 011006
.20.
Ruzzene
, M.
, 2004
, “Vibration and Sound Radiation of Sandwich Beams With Honeycomb Truss Core
,” J. Sound Vib.
, 277
(4–5
), pp. 741
–763
.21.
Wang
, T. A.
, Li
, S.
, Rajaram
, S.
, and Nutt
, S. R.
, 2010
, “Predicting the Sound Transmission Loss of Sandwich Panels by Statistical Energy Analysis Approach
,” ASME J. Vib. Acoust.
, 132
(1
), p. 011004
.22.
Grosveld
, F. W.
, Palumbo
, D. L.
, Klos
, J.
, and Castle
, W. D.
, 2006
, “Finite Element Development of Honeycomb Panel Configurations With Improved Transmission Loss
,” 35th International Congress and Exposition on Noise Control Engineering
(INTER-NOISE
), Honolulu, HI, Dec. 3–6, p. 15
.23.
Palumbo
, D. L.
, and Klos
, J.
, 2009
, “Development of Quiet Honeycomb Panels
,” National Aeronautics and Space Administration, Washington, DC, Report No. NASA/TM-2009-215954
.24.
Thamburaj
, P.
, and Sun
, J. Q.
, 2002
, “Optimization of Anisotropic Sandwich Beams for Higher Sound Transmission Loss
,” J. Sound Vib.
, 254
(1
), pp. 23
–36
.25.
Denli
, H.
, and Sun
, J. Q.
, 2007
, “Structural-Acoustic Optimization of Sandwich Structures With Cellular Cores for Minimum Sound Radiation
,” J. Sound Vib.
, 301
(1–2
), pp. 93
–105
.26.
Franco
, F.
, Cunefare
, K. A.
, and Ruzzene
, M.
, 2007
, “Structural-Acoustic Optimization of Sandwich Panels
,” ASME J. Vib. Acoust.
, 129
(3
), pp. 330
–340
.27.
Galgalikar
, R.
, and Thompson
, L.
, 2016
, “Design Optimization of Honeycomb Core Sandwich Panels for Maximum Sound Transmission Loss
,” ASME J. Vib. Acoust.
, 138
(5
), p. 051005
.28.
Yang
, H.
, Li
, H.
, and Zheng
, H.
, 2016
, “A Structural-Acoustic Optimization of Two-Dimensional Sandwich Plates With Corrugated Cores
,” J. Vib. Control
, 23
(18
), pp. 3007
–3022
.29.
Wu
, J.
, 2016
, “Topology Optimization Studies for Light Weight Acoustic Panels
,” Master's dissertation
, University of Toronto, Toronto, ON.30.
Claeys
, C.
, Deckers
, E.
, Pluymers
, B.
, and Desmet
, W.
, 2016
, “A Lightweight Vibro-Acoustic Metamaterial Demonstrator: Numerical and Experimental Investigation
,” Mech. Syst. Signal Process.
, 70–71
, pp. 853
–880
.31.
Zhang
, X.
, and Yang
, D.
, 2016
, “Numerical and Experimental Studies of a Light-Weight Auxetic Cellular Vibration Isolation Base
,” Shock Vib.
, 2016
, pp. 1
–16
.32.
Zhang
, X.
, and Yang
, D.
, 2016
, “Mechanical Properties of Auxetic Cellular Material Consisting of Re-Entrant Hexagonal Honeycombs
,” Materials
, 9
(11
), p. 900
.33.
Lim
, T. C.
, 2002
, “Functionally Graded Beam for Attaining Poisson-Curving
,” J. Mater. Sci. Lett.
, 21
(24
), pp. 1899
–1901
.34.
Lira
, C.
, and Scarpa
, F.
, 2010
, “Transverse Shear Stiffness of Thickness Gradient Honeycombs
,” Compos. Sci. Technol.
, 70
(6
), pp. 930
–936
.35.
Lira
, C.
, Scarpa
, F.
, and Rajasekaran
, R.
, 2011
, “A Gradient Cellular Core for Aeroengine Fan Blades Based on Auxetic Configurations
,” J. Intell. Mater. Syst. Struct.
, 22
(9
), pp. 907
–917
.36.
Hou
, Y.
, Tai
, Y. H.
, Lira
, C.
, Scarpa
, F.
, Yates
, J. R.
, and Gu
, B.
, 2013
, “The Bending and Failure of Sandwich Structures With Auxetic Gradient Cellular Cores
,” Compos. Part A
, 49
, pp. 119
–131
.37.
Hou
, Y.
, Neville
, R.
, Scarpa
, F.
, Remillat
, C.
, Gu
, B.
, and Ruzzene
, M.
, 2014
, “Graded Conventional-Auxetic Kirigami Sandwich Structures: Flatwise Compression and Edgewise Loading
,” Compos. Part B
, 59
, pp. 33
–42
.38.
Boldrin
, L.
, Hummel
, S.
, Scarpa
, F.
, Di Maio
, D.
, Lira
, C.
, Ruzzene
, M.
, Remillat
, C. D. L.
, Lim
, T. C.
, Rajasekaran
, R.
, and Patsias
, S.
, 2016
, “Dynamic Behaviour of Auxetic Gradient Composite Hexagonal Honeycombs
,” Compos. Struct.
, 149
, pp. 114
–124
.39.
Lim
, T. C.
, 2016
, “A 3D Auxetic Material Based on Intersecting Double Arrowheads
,” Phys. Status Solidi
, 253
(7
), pp. 1252
–1260
.40.
Yang
, C.
, Vora
, H. D.
, and Chang
, Y.
, 2018
, “Behavior of Auxetic Structures Under Compression and Impact Forces
,” Smart Mater. Struct.
, 27
(2
), p. 025012
.41.
Wu
, Z. J.
, Li
, F. M.
, and Wang
, Y. Z.
, 2013
, “Study on Vibration Characteristics in Periodic Plate Structures Using the Spectral Element Method
,” Acta Mech.
, 224
(5
), pp. 1089
–1101
.42.
Lee
, U.
, 2009
, Spectral Element Method in Structural Dynamics
, Wiley
, New York
.43.
Alford
, R. M.
, Kelly
, K. R.
, and Boore
, D. M.
, 1974
, “Accuracy of Finite‐Difference Modeling of the Acoustic Wave Equation
,” Geophysics
, 39
(6
), pp. 834
–842
.44.
Wittrick
, W. H.
, and Williams
, F. W.
, 1971
, “A General Algorithm for Computing Natural Frequencies of Elastic Structures
,” Q. J. Mech. Appl. Math.
, 24
(3
), pp. 263
–284
.45.
Williams
, F. W.
, 1986
, “An Algorithm for Exact Eigenvalue Calculations for Rotationally Periodic Structures
,” Int. J. Numer. Methods Eng.
, 23
(4
), pp. 609
–622
.46.
Yuan
, S.
, Ye
, K.
, and Williams
, F. W.
, 2004
, “Second Order Mode-Finding Method in Dynamic Stiffness Matrix Methods
,” J. Sound Vib.
, 269
(3–5
), pp. 689
–708
.47.
Cheng
, L.
, Li
, Y. Y.
, and Gao
, J. X.
, 2005
, “Energy Transmission in a Mechanically-Linked Double-Wall Structure Coupled to an Acoustic Enclosure
,” J. Acoust. Soc. Am.
, 117
(5
), pp. 2742
–2751
.48.
Panneton
, R.
, and Atalla
, N.
, 1996
, “Numerical Prediction of Sound Transmission Through Finite Multilayer Systems With Poroelastic Materials
,” J. Acoust. Soc. Am.
, 100
(1
), pp. 346
–354
.49.
Williams
, E. G.
, 1999
, Fourier Acoustics: Sound Radiation and Nearfield Acoustical Holography
, Academic Press
, London
.50.
Wang
, T.
, Li
, S.
, and Nutt
, S. R.
, 2009
, “Optimal Design of Acoustical Sandwich Panels With a Genetic Algorithm
,” Appl. Acoust.
, 70
(3
), pp. 416
–425
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