Finite-difference time-domain method for heterogeneous orthotropic media with damping
Finite-difference time-domain method for heterogeneous orthotropic media with damping
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DOI：
10.1250/ast.33.77
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发表时间：
2012-03
影响因子：
0.7
通讯作者：
M. Toyoda;Hideo Miyazaki;Yoshihide Shiba;A. Tanaka;D. Takahashi
中科院分区：
文献类型：
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作者：
M. Toyoda;Hideo Miyazaki;Yoshihide Shiba;A. Tanaka;D. Takahashi
考虑了纵波和横波以及两种阻尼项的时域有限差分方法被提出作为结构声，特别是建筑声学的一种预测方法。在这种方法中，假设固体和流体都由一组唯一的运动方程和粘弹性本构方程控制。因此，该方法可以利用平均材料参数来处理非均匀介质和振动声问题。然而，该公式仅限于各向同性介质。不幸的是，木架是常见的建筑材料，不能被认为是各向同性的介质。在此，提出了一种非均质各向异性介质的建模方法。作为例子，计算了波在木块中的传播和辐射声场。并将时间响应和频率响应的数值结果与实测结果进行了比较。这些研究表明，如果假定木块是各向同性的，则计算数据与实测值不符。此外，考虑各向异性的计算结果与实测值吻合较好，但材料参数必须用实测值进行识别。
The finite-difference time-domain method, in which longitudinal and shear waves and two types of damping terms are considered, has been proposed as a prediction method for structure-borne sound, particularly architectural acoustics. In this method, it is assumed that both solids and fluids are governed by a unique set of motion equations and viscoelastic constitutive equations. Therefore, the method can be applied to heterogeneous media and vibroacoustic problems by employing averaged material parameters. However, the formulation is limited to isotropic media. Unfortunately wooden frames, which are common building materials, cannot be considered as isotropic media. Herein, a method of formulating heterogeneous orthotropic media is proposed. As an example, the propagation of waves in a wooden block and the radiated sound are calculated. The numerical results of both the time and frequency responses are compared with the measured ones. These investigations show that the calculated data does not correspond to the measured data if the wooden block is assumed to be isotropic. Moreover, the results calculated with orthotropy taken into account agree well with the measured one, but the material parameters must be identified using measured data.