Structural and Acoustic Behavior of Chiral Truss-Core Beams

Journal of Vibration and Acoustics, Transactions of the ASME - Tập 128 Số 5 - Trang 616-626 - 2006
Alessandro Spadoni1, Massimo Ruzzene1
1School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA 30332

Tóm tắt

This paper analyzes the structural and acoustic behavior of sandwich beams with a chiral truss-core. This particular core configuration is considered to exploit some of the unique properties of the chiral geometry and to explore their potential benefits in terms of sound-transmission reduction and vibration isolation. The chiral core is composed of circular elements or nodes, joined by ligaments or ribs. The arrangement of nodes and ribs is such that chiral assemblies exhibit in-plane negative Poisson’s ratio behavior as well as unique deformation patterns. The vibroacoustic performance of the considered beams is evaluated through a numerical model, formulated by employing dynamic shape functions derived directly from the distributed parameter model of beam elements. This formulation allows an accurate evaluation of the dynamic response of the considered structures at high frequencies with a limited number of elements. Furthermore, such a numerical model can be coupled with a Fourier-transform-based analysis of the sound radiated by the structure in a surrounding fluid medium. The structural-acoustic behavior of the proposed beams is investigated in terms of kinetic energy of the constraining layers and sound pressure levels corresponding to an incident pressure wave. A sensitivity study investigates the influence of core configuration and geometry on the beam performance. Moreover, the performance of the chiral core is compared to that of cores with “square” and hexagonal topologies. The results demonstrate the design flexibility offered by the proposed core design, whose configuration is defined by a number of independent parameters that can be modified and optimized to enhance the structural-acoustic performance of the beam.

Từ khóa


Tài liệu tham khảo

Gibson, Cellular Solids: Structure Properties, 2nd edition

Ruzzene, Wave Beaming Effects in Two-Dimensional Cellular Structures, Smart Mater. Struct., 12, 363, 10.1088/0964-1726/12/3/307

Ruzzene, Vibration and Sound Radiation of Sandwich Beams With Honeycombs, J. Sound Vib., 277, 741, 10.1016/j.jsv.2003.09.026

El-Raheb, Frequency Response of a Two-Dimensional Trusslike Periodic Panel, J. Acoust. Soc. Am., 101, 3457, 10.1121/1.418354

Wicks, Optimal Truss Plates, Int. J. Solids Struct., 38, 5165, 10.1016/S0020-7683(00)00315-2

Lakes, Deformation Mechanisms in Negative Poisson’s Ratio Materials: Structural Aspects, J. Mater. Sci., 26, 2287, 10.1007/BF01130170

Prall, Properties of a Chiral Honeycomb With Poisson’s Ratio of −1, Int. J. Mech. Sci., 39, 305, 10.1016/S0020-7403(96)00025-2

Doyle, Wave Propagation in Structures, 2nd ed.

Doyle, A Spectrally-Formulated Finite Element for Longitudinal Wave Propagation, Int. J. Anal. Exp. Modal Anal., 3, 1

Junger, Sound, Structures and Their Interaction, 2nd ed.

Lok, Free Vibration of Clamped Orthotropic Sandwich Panel, J. Sound Vib., 229, 311, 10.1006/jsvi.1999.2485

Noor, Continuum Modeling for Repetitive Lattice Structures, Appl. Mech. Rev., 41, 285, 10.1115/1.3151907

Zang, The Out-of-Plane Properties of Honeycombs

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

Fahy, Sound and Structural Vibration: Radiation, Transmission and Response

Kinsler, Fundamentals of Acoustics, 4th ed.

Thông tin
Thông tin xuất bản

Journal of Vibration and Acoustics, Transactions of the ASME

Tập 128 Số 5

616-626

Thông tin tác giả