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正交各向异性板中弯曲强度的方向性。

Directionality of flexural intensity in orthotropic plates.

机构信息

NAVSEA Newport, Newport, Rhode Island 02841-5047, USA.

出版信息

J Acoust Soc Am. 2011 Feb;129(2):701-6. doi: 10.1121/1.3531837.

DOI:10.1121/1.3531837
PMID:21361429
Abstract

This work investigates composite plates and their ability to direct flexural intensity, which has important implications for noise and vibration control. It is well known that a composite plate supports a flexural wave whose wavenumber depends strongly on its angle of propagation. This suggests that a composite plate will direct more flexural intensity in some directions than others. The present work considers a thin multi-layered plate in which each layer is constructed from an orthotropic material and has a chosen orientation relative to the other layers. Such an approach may be used to design highly directive structures. An analysis is presented in which a two-dimensional Fourier transform is analytically applied to the equation of motion, yielding algebraic expressions for displacements and stress resultants. Next, a two-dimensional discrete inverse Fourier transform is applied to compute displacements and stress resultants at discrete locations. Flexural intensity is computed at these locations.

摘要

这项工作研究了复合材料板及其引导弯曲强度的能力,这对噪声和振动控制具有重要意义。众所周知,复合材料板支持弯曲波,其波数强烈依赖于其传播角度。这表明复合材料板在某些方向上会引导更多的弯曲强度。本工作考虑了一种由各向异性材料制成的薄多层板,其中每一层相对于其他层具有选定的取向。这种方法可用于设计高度定向的结构。分析中,通过对运动方程进行二维傅里叶变换的解析应用,得到了位移和应力分量的代数表达式。接下来,通过二维离散逆傅里叶变换在离散位置计算位移和应力分量。在这些位置计算弯曲强度。

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