Design Optimization of Honeycomb Core Sandwich Panels for Maximum Sound Transmission Loss

R. Galgalikar1, Lonny L. Thompson1
1Department of Mechanical Engineering, Clemson University, Fluor Daniel Building, Room 221, Clemson, SC 29634-0921 e-mail:

Tóm tắt

This study focuses on sound transmission frequency response through honeycomb core sandwich panels with in-plane orientation. Specifically, an optimization technique has been presented to determine the honeycomb unit cell geometric parameters that maximize the sound transmission loss (STL) through a sandwich panel, while maintaining constraints of constant mass and overall dimensions of panel length and height. The vibration characteristics and STL response of a sandwich panel are parameterized in terms of four honeycomb unit cell independent geometric parameters; two side lengths, cell wall thickness, and interior cell wall angle. With constraints of constant mass and overall dimensions, relationships are determined such that the number of independent variables needed to define the honeycomb cell and panel geometry is reduced to three; the integer number of unit cells in the longitudinal direction of the core, number of unit cells in the height direction, and interior cell wall angle. The optimization procedure is implemented by linking a structural acoustic finite-element (FE) model of the panel, with modefrontier, a general purpose optimization software. Optimum designs are obtained in representative frequency ranges within the resonance region of the STL response. Optimized honeycomb geometric solutions show at least 20% increase in STL response compared to standard hexagonal honeycomb core panels. It is found that the STL response is not only affected by the cell wall angle, but strongly depends also on the number of unit cells in the horizontal and vertical direction.

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Tài liệu tham khảo

1996, Light-Weight, High-Strength, Stiff Panels, U.S. Patent No. 5,445,861

2001, On the Design of Two-Dimensional Cellular Metals for Combined Heat Dissipation and Structural Load Capacity, Int. J. Heat Mass Transfer, 44, 2163, 10.1016/S0017-9310(00)00234-9

1995, Lightweight Honeycomb Panel Structure, U.S. Patent No. 5,445,861

1999, The Strength Characteristics of Aluminum Honeycomb Sandwich Panels, Thin-Walled Struct., 35, 205, 10.1016/S0263-8231(99)00026-9

2001, The Topological Design of Multifunctional Cellular Metals, Prog. Mater. Sci., 46, 309, 10.1016/S0079-6425(00)00016-5

2001, Sandwich Structures, ASME Appl. Mech. Rev., 54, 201, 10.1115/1.3097295

1990, Wave Propagation in and Sound Transmission Through Sandwich Plates, J. Sound Vib., 138, 73, 10.1016/0022-460X(90)90705-5

1997, Transmission of Sound Across a Trusslike Periodic Panel; 2-D Analysis, J. Acoust. Soc. Am., 102, 2176, 10.1121/1.419633

2013, Identification of Acoustic Characteristics of Honeycomb Sandwich Composite Panels Using Hybrid Analytical/Finite Element Method, ASME J. Vib. Acoust., 135, 11006, 10.1115/1.4007241

2013, Prediction of Sound Transmission Loss for Finite Sandwich Panels Based on a Test Procedure on Beam Elements, ASME J. Vib. Acoust., 135, 61005, 10.1115/1.4023842

2008, Low Frequency Sound Insulation Using Stiffness Control With Honeycomb Panels, Appl. Acoust., 69, 293, 10.1016/j.apacoust.2006.12.001

2002, Wave Propagation in Sandwich Plates With Periodic Auxetic Core, J. Intell. Mater. Syst. Struct., 13, 587, 10.1106/104538902031865

2003, Control of Wave Propagation in Sandwich Beams With Auxetic Core, J. Intell. Mater. Syst. Struct., 14, 443, 10.1177/1045389X03035515

2000, Theoretical Characteristics of the Vibration of Sandwich Plates With In-Plane Negative Poisson's Ratio Values, J. Sound Vib., 230, 45, 10.1006/jsvi.1999.2600

1959, New Wall Design for High Transmission Loss or High Damping, J. Acoust. Soc. Am., 31, 739, 10.1121/1.1907780

1967, Sound Transmission Through Sandwich Constructions, J. Sound Vib., 5, 9, 10.1016/0022-460X(67)90173-3

1973, Dilational-Mode Sound Transmission in Sandwich Panels, J. Acoust. Soc. Am., 54, 1449, 10.1121/1.1914444

1974, Transmission of Sound Through Sandwich Panels, J. Acoust. Soc. Am., 56, 1523, 10.1121/1.1903474

1982, Sound Transmission Through Damped Sandwich Panel, J. Sound Vib., 80, 315, 10.1016/0022-460X(82)90273-5

2007, Handbook of Acoustics

1991, Sound Transmission Loss Characteristics of Sandwich Panel Constructions, J. Acoust. Soc. Am., 89, 777, 10.1121/1.1894638

2011, Mechanics of Pressure-Adaptive Honeycomb and Its Application to Wing Morphing, Smart Mater. Struct., 20, 094010, 10.1088/0964-1726/20/9/094010

2003, In-Plane Dynamic Crushing of Honeycombs—A Finite Element Study, Int. J. Impact Eng., 28, 161, 10.1016/S0734-743X(02)00056-8

1994, In-Plane Compressive Response and Crushing of Honeycomb, J. Mech. Phys. Solids, 42, 1499, 10.1016/0022-5096(94)90085-X

2010, Design of Cellular Shear Bands of a Non-Pneumatic Tire-Investigation of Contact Pressure

2002, Optimization of Anisotropic Sandwich Beams for Higher Sound Transmission Loss, J. Sound Vib., 254, 23, 10.1006/jsvi.2001.4059

2007, Structural-Acoustic Optimization of Sandwich Structures With Cellular Cores for Minimum Sound Radiation, J. Sound Vib., 301, 93, 10.1016/j.jsv.2006.09.025

2007, Structural-Acoustic Optimization of Sandwich Panels, ASME J. Vib. Acoust., 129, 330, 10.1115/1.2731410

2008, Structural-Acoustic Optimization of Sandwich Cylindrical Shells for Minimum Interior Sound Transmission, J. Sound Vib., 316, 32, 10.1016/j.jsv.2008.02.027

2004, Vibration and Sound Radiation of Sandwich Beams With Honeycomb Truss Core, J. Sound Vib., 277, 741, 10.1016/j.jsv.2003.09.026

2014, The Effect of Honeycomb Core Geometry on the Sound Transmission Performance of Sandwich Panels, ASME J. Vib. Acoust., 137, 021011, 10.1115/1.4029043

1999, Cellular Solids: Structure and Properties

2010, Notes on Acoustics

1977, Sound Transmission Through Periodically Framed Parallel Plates, J. Acoust. Soc. Am., 61, 1014, 10.1121/1.381386

2009, Dassault Systems, ABAQUS 6.9, Help Manual

1975, Wave Motion in Elastic Solids

1997, Wave Propagation in Structures, Spectral Analysis Using Fast Discrete Fourier Transforms, 10.1007/978-1-4612-1832-6

1982, Numerical Evaluation of the Rayleigh Integral for Planar Radiators Using the FFT, J. Acoust. Soc. Am., 72, 2020, 10.1121/1.388633

1994, Computational Solution of the Acoustic Field Surrounding a Baffled Panel by the Rayleigh Integral Method, Appl. Math. Modell., 18, 403, 10.1016/0307-904X(94)90227-5

2001, Effects of Cell Irregularity on the Elastic Properties of 2D Voronoi Honeycombs, J. Mech. Phys. Solids, 49, 857, 10.1016/S0022-5096(00)00046-6

1998, The In-Plane Stiffnesses of a Honeycomb Core Including the Thickness Effect, Arch. Appl. Mech., 68, 334, 10.1007/s004190050169

1993, A Finite Element Study of the Transverse Shear in Honeycomb Cores, Int. J. Solids Struct., 30, 1777, 10.1016/0020-7683(93)90233-W

2010, Esteco, modeFRONTIER 4.3.0, Help Manual

2010, Minitab 16, Help Manual

2011, Analytical Solutions Using High Order Composite Laminate Theory for Honeycomb Sandwich Plates With Viscoelastic Frequency Dependent Damping