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Time Domain Finite Element Analysis for Coupled Rooms Separated by an Elastic Plate

机译:弹性板分离的耦合房间的时域有限元分析

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The paper analyzes a sophisticated vibro-acoustic problem, which is unavoidable when one deals with structure and fluid interactions. The complexity encountered for solving the problem arises due to coupling equations generated from involved parts. Here, to solve the problem numerically, a Time Domain Finite Element Method (TDFEM) combined with the Newmark-β integration method is presented. The method has been successfully applied to predict the sound field in such a large acoustical space, yet a similar outcome in vibroacoustic problems remains obscure. Therefore, the paper aims to extend the method to a more complicated vibro-acoustic area and to consequently evaluate the suitability of the method. To check the accuracy of TDFEM, the room transfer function obtained from Fourier transformed results is compared with those of direct frequency analysis in a simple, room-plate-cavity model. Two materials with different elastic properties, aluminum and plywood, are selected for the elastic plate. The time domain results show a good agreement with the frequency domain approach beside a faster convergence to exact solution. Next, to show the method's basic application, the sound propagation in practical transmission problem is visualized in a room-plate-room model. The variation of sound pressure due to changes in plate thickness and plate material are discussed. This preliminary study shows the TDFEM basic applicability in solving a complicated vibro-acoustic problem.
机译:本文分析了一个复杂的振动声学问题,当一个涉及结构和流体相互作用时是不可避免的。由于涉及部分产生的耦合方程,所遇到的解决问题的复杂性出现。这里,为了在数值上解决问题,提出了与纽马克-β积分方法组合的时域有限元方法(TDFEM)。该方法已成功应用于预测如此大的声学空间中的声场,但蚕道问题的类似结果仍然模糊。因此,纸张旨在将该方法扩展到更复杂的振动声区域,并因此评估该方法的适用性。为了检查TDFEM的准确性,将从傅里叶变换结果获得的房间传递函数与简单的室内板腔模型中的直接频率分析相比。选择具有不同弹性性质,铝和胶合板的两种材料,用于弹性板。时域结果与对精确解决方案更快的收敛速度较快的频域方法显示出良好的一致性。接下来,为了显示该方法的基本应用,在室内平板室模型中可视化实际传输问题中的声音传播。讨论了由于板厚度和板材的变化引起的声压的变化。该初步研究显示了解决复杂的振动声问题的TDFEM基本适用性。

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