This paper studies sound and vibration transmission across a sandwich beam made of anisotropic materials. In our previous study, we have found that there is a significant increase in the transmission loss for the sandwich beam with anisotropic materials as compared with isotropic ones. This paper presents an extensive numerical study of the effects of damping, thickness of the laminae and density of the material on the sound transmission loss. This work may eventually lead to a new way of designing sandwich structures with high vibration and noise isolation performance.
Issue Section:
Technical Papers
1.
Vinson
, J. R.
, and Shore
, S.
, 1971
, “Minimum Weight Web Core Sandwich Panels Subjected to Uniaxial Compression
,” J. Aircr.
, 8
, pp. 843
–847
.2.
Vinson, J. R., and Handel, P. I., 1988, “Optimal Stacking Sequences of Composite Faces for Various Sandwich Panels and Loads to Attain Minimum Weight,” Proceedings of the 29th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, pp. 999–1006.
3.
Vinson, J. R., 1992, “Analyses and Optimization of Composite Honeycomb Sandwich Cylindrical Shells,” Proceedings of the 7th Annual Technical Conference of the American Society for Composites.
4.
Vinson, J. R., and Newill, J. F., 1995, “Use of Piezoelectric Intelligent Materials to Control Vibrations in Sandwich Structures,” Proceedings of the Third International Conference on Sandwich Constructions.
5.
Vinson
, J. R.
, 1986
, “Optimum Design of Composite Honeycomb Sandwich Panels Subjected to Uniaxial Compression
,” AIAA J.
, 24
, pp. 1690
–1696
.6.
Vinson, J. R., 1986, “Minimum Weight Honeycomb Core Composite Sandwich Panels Subjected to In-Plane Shear Loads,” Proceedings of the 23rd Annual Society of Engineering Science Meeting.
7.
Vinson, J. R., and Lovejoy, A. J., 1992, “Minimum Weight Foam Core Sandwich Shells Under Axial Compression,” Proceedings of the 6th Japan-US Conference on Composite Materials.
8.
Huang
, N. C.
, and Sheu
, C. Y.
, 1969
, “Optimal Design of Elastic Circular Sandwich Beams for Minimum Compliance
,” AFOSR Scientific Report 69-2136TR, University of California at San Diego.9.
Yoshii
, A.
, 1992
, “Optimum Design of Advanced Sandwich Composite Using Foam Core
,” Adv. Compos. Mater.
, 2
, pp. 289
–305
.10.
Soovere
, J.
, and Drake
, M. L.
, 1985
, “Aerospace Structures Technology Damping Design Guide, Volume I-Technology Review,” Technical Report
AFWAL-TR-84-3089, Wright-Patterson Air Force Base.11.
Soovere
, J.
, and Drake
, M. L.
, 1985
, “Aerospace Structures Technology Damping Design Guide Volume II-Design Guide,” Technical Report
AFWAL-TR-84-3089, Wright-Patterson Air Force Base.12.
Garrison
, M. R.
, Miles
, R. N.
, Sun
, J. Q.
, and Bao
, W.
, 1994
, “Random Response of a Plate Partially Covered by a Constrained Layer Damper
,” J. Sound Vib.
, 172
, pp. 231
–245
.13.
Ditaranto
, R. A.
, 1965
, “Theory of Vibration Bending for Elastic and Viscoelastic Layered Finite-length Beams
,” ASME J. Appl. Mech.
, 32
, pp. 881
–886
.14.
Miles
, R. N.
, and Reinhall
, P. G.
, 1986
, “Analytical Model for the Vibration of Laminated Beams Including the Effects of Both Shear and Thickness Deformation in the Adhesive Layer
,” ASME J. Vibr. Acoust.
, 108
, pp. 56
–64
.15.
Murthy
, A. V. K.
, and Shimpi
, R. P.
, 1974
, “Vibrations of Laminated Beams
,” J. Sound Vib.
, 36
, pp. 273
–284
.16.
Austin, E. M., Inman, D. J., and Huang, S. C., 1996, “Design Considerations for Active Constrained Layer Damping Treatments,” Proceedings of the Smart Structures and Materials: Mathematics and Control in Smart Structures, 2715, pp. 244–255.
17.
Baz
, A.
, 1997
, “Optimization of Energy Dissipation Characteristics of Active Constrained Layer Damping
,” Smart Mater. Struct.
, 6
, pp. 360
–368
.18.
Shen
, I. Y.
, 1994
, “Stability and Controllability of Euler-Bernoulli Beams with Intelligent Constrained Layer Treatments
,” Proc. Int. Mech. Eng. Congress Expo.
, 75
, pp. 169
–178
.19.
Liao
, W. H.
, and Wang
, K. W.
, 1997
, “On the Active-Passive Hybrid Control Actions of Structures with Active Constrained Layer Treatments
,” ASME J. Vibr. Acoust.
, 119
, pp. 563
–572
.20.
Thamburaj
, P.
, and Sun
, J. Q.
, 1999
, “Effect of Material Anisotropy on the Sound and Vibration Transmission Loss of Sandwich Aircraft Structures
,” J. Sandwich Struct. Mater.
, 1
, pp. 76
–92
.21.
Byon
, O. I.
, and Vinson
, J. R.
, 1991
, “Stress Analyses of Laminated Thick-walled Cylindrical Anisotropic Shells
,” AIAA J.
, 29
, pp. 2192
–2196
.22.
Soldatos
, K. P.
, 1984
, “Flugge-Type Theory for the Analysis of Anisotropic Laminated Non-Circular Cylindrical Shells
,” Int. J. Solids Struct.
, 20
, pp. 107
–120
.23.
Pagano
, N. J.
, 1974
, “On the Calculation of Interlaminar Normal Stress in Composite Laminate
,” J. Compos. Mater.
, 8
, pp. 65
–81
.24.
Pagano
, N. J.
, 1978
, “Stress Fields in Composite Laminates
,” Int. J. Solids Struct.
, 14
, pp. 385
–400
.25.
Bhimaraddi
, A.
, and Stevens
, L. K.
, 1984
, “Higher Order Theory for Free Vibration of Orthotropic, Homogeneous, and Laminated Rectangular Plates
,” ASME J. Appl. Mech.
, 51
, pp. 195
–199
.26.
Bhimaraddi
, A.
, 1984
, “Higher Order Theory for Free Vibration Analysis of Circular Cylindrical Shells
,” Int. J. Solids Struct.
, 20
, pp. 623
–630
.27.
Bhimaraddi
, A.
, and Stevens
, L. K.
, 1986
, “On the Higher Order Theories in Plates and Shells
,” Int. J. Struct.
, 6
, pp. 35
–50
.28.
Jing
, H.-S.
, and Tzeng
, K.-G.
, 1993
, “Refined Shear Deformation Theory of Laminated Shells
,” AIAA J.
, 31
, pp. 765
–773
.29.
Jing, H.-S., Tzeng, K.-G., and Young, J.-S., 1993, “Elasticity Solution of Transverse Normal Stress in Laminated Anisotropic Cylindrical Panels,” Proceedings of International SAMPE Symposium and Exhibition, 38, pp. 728–738.
30.
Jing
, H.-S.
, and Tzeng
, K.-G.
, 1995
, “Elasticity Solution for Laminated Anisotropic Cylindrical Panels in Cylindrical Bending
,” Compos. Struct.
, 30
, pp. 307
–317
.31.
Jonnalagadda
, K. D.
, Tauchert
, T. R.
, and Blandford
, G. E.
, 1993
, “High-order Thermoplastic Composite Plate Theories: An Analytic Comparison
,” J. Therm. Stresses
, 16
, pp. 265
–284
.32.
Pagano
, N. J.
, 1970
, “Exact Solutions for Rectangular Bidirectional Composites and Sandwich Plates
,” J. Compos. Mater.
, 4
, pp. 20
–34
.33.
Bergan
, P. G.
, Bjaerum
, R. O.
, and Nygard
, M. K.
, 1991
, “Nonlinear Collapse Simulation of Anisotropic Plates and Corrugated Panels
,” Thin-Walled Struct.
, 11
, pp. 129
–148
.34.
Butler, R., and Williams, F. W., 1990, “Optimum Design Features of VICONOPT, An Exact Buckling Program for Prismatic Assemblies of Anisotropic Plates,” Proceedings of the AIAA/ASME/ASCE/AHS Structures, Structural Dynamics and Materials Conference, pp. 1289–1299.
35.
Carrera
, E.
, and Villani
, M.
, 1994
, “Large Deflections and Stability FEM Analysis of Shear Deformable Compressed Anisotropic Flat Panels
,” Compos. Struct.
, 29
, pp. 433
–444
.36.
Hadi
, B. K.
, and Matthews
, F. L.
, 1998
, “Predicting the Buckling Load of Anisotropic Sandwich Panels:An Approach Including Shear Deformation of the Faces
,” Compos. Struct.
, 42
, pp. 245
–255
.37.
Katori
, H.
, and Nishimura
, T.
, 1994
, “Vibration and Dynamic Stability of Anisotropic Plates (Free Vibration and Panel Flutter)
,” JSME Int. J., Ser. C: Dynamics, Control, Robotics, Design and Manufacturing
, 37
, pp. 28
–32
.38.
Rao
, B. N.
, 1992
, “Nonlinear Free Vibration Characteristics of Laminated Anisotropic Thin Plates
,” AIAA J.
, 30
, pp. 2991
–2993
.39.
Rao
, N. B.
, and Pillai
, S. R. R.
, 1992
, “Large-Amplitude Free Vibrations of Laminated Anisotropic Thin Plates Based on Harmonic Balance Method
,” J. Sound Vib.
, 154
, pp. 173
–177
.40.
Bogdanovich
, A. E.
, 1993
, “Three-dimensional Analysis of Anisotropic Spatially Reinforced Structure
,” Compos. Manuf.
, 4
, pp. 173
–186
.41.
Grediac
, M.
, and Paris
, P. A.
, 1996
, “Direct Identification of Elastic Constants of Anisotropic Plates by Modal Analysis: Theoretical and Numerical Aspects
,” J. Sound Vib.
, 195
, No. 3
, pp. 401
–415
.42.
Grediac
, M.
, Fournier
, N.
, Paris
, P. A.
, and Surrel
, Y.
, 1998
, “Direct Identification of Elastic Constants of Anisotropic Plates by Modal Analysis: Experimental Results
,” J. Sound Vib.
, 210
, pp. 643
–659
.43.
Larsson, D., 1997, “Using Modal Analysis for Estimation of Anisotropic Material Constants,” Dok. Chalm. Tekn. Hog., 1341.
44.
Humphrey, V. F., and Chinnery, P. A., 1993, “Anisotropy in the Acoustic Transmission Properties of Fibre-Reinforced Laminates: Theoretical Prediction and Experimental Observation,” Proceedings of the Ultrasonics International Conference, pp. 387–390.
45.
Liu
, G. R.
, Tani
, J.
, Watanabe
, K.
, and Ohyoshi
, T.
, 1990
, “Harmonic Wave Propagation in Anisotropic Laminated Strips
,” J. Sound Vib.
, 139
, pp. 313
–324
.46.
Suzuki
, K.
, Shikanai
, G.
, and Leissa
, A. W.
, 1996
, “Free Vibrations of Laminated Composite Non-Circular Thick Cylindrical Shells
,” Int. J. Solids Struct.
, 33
, pp. 4079
–4100
.47.
Fahy, F., 1985, Sound and Structural Vibration-Radiation, Transmission and Response, Academic Press, New York.
48.
Sun
, J. Q.
, Bao
, W.
, and Miles
, R. N.
, 1998
, “Fatigue Life Prediction of Nonlinear Plates Under Random Excitations
,” ASME J. Vibr. Acoust.
, 120
, pp. 353
–360
.49.
Meirovitch, L., 1967, Analytical Methods in Vibrations, Macmillan, New York.
50.
Huntington, H. B., 1958, The Elastic Constants of Crystals, Academic Press, New York.
51.
Chou
, T. W.
, and Takahashi
, K.
, 1987
, “Non-linear Elastic Behavior of Flexible Fibre Composites
,” Composites
, 18
, pp. 25
–34
.52.
Chou
, T.-W.
, 1989
, “Review: Flexible Composites
,” J. Mater. Sci.
, 24
, pp. 761
–783
.53.
Luo
, S.-Y.
, and Chou
, T.-W.
, 1988
, “Finite Deformation and Nonlinear Elastic Behavior of Flexible Composites
,” ASME J. Appl. Mech.
, 55
, pp. 149
–155
.54.
Luo
, S. Y.
, and Chou
, T. W.
, 1988
, “Constitutive Relations of Flexible Composites Under Finite Elastic Deformation
,” Proc. Mech. Compos. Mater.
, 92
, pp. 209
–216
.55.
Hwang
, J. H.
, and Ma
, F.
, 1993
, “On the Approximate Solution of Nonclassically Damped Linear Systems
,” ASME J. Appl. Mech.
, 60
, pp. 695
–701
.56.
Vinson, J. R., and Sierakowski, R. L., 1987, The Behavior of Structures Composed of Composite Materials, Kluwer Academic Publishers, Dordrecht, The Netherlands.
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