A comparison between an indirect Trefftz method and the finite-element method for solving coupled vibro-acoustic problems.
A comparison between an indirect Trefftz method and the finite-element method for solving coupled vibro-acoustic problems.
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间接 Trefftz 方法与有限元方法求解耦合振动声学问题的比较。
DOI：
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发表时间：
1999
期刊：
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通讯作者：
D. Vandepitte
中科院分区：
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作者：
W. Desmet;P. Sas;D. Vandepitte
有限元 (FE) 方法最常用于解决有界域中的时谐结构声学问题。由于单元域内的动态变量是用简单的近似形状函数来扩展的，因此需要大量的单元才能获得合理的预测精度，并且这个数量随着频率的增加而增加。这会导致模型体积庞大、计算成本高昂，因此有限元模型的使用实际上仅限于低频应用。在新开发的间接 Trefftz 方法中，动态场变量以波函数形式展开，完全满足控制动态方程。波函数对这些展开式的贡献来自于边界条件的加权残差公式。由于近似仅涉及边界条件，因此生成的模型比有限元模型小得多。然而，小波模型是完全填充的、复杂的并且依赖于频率......
The finite‐element (FE) method is most commonly used for solving time‐harmonic structural acoustic problems in bounded domains. Since the dynamic variables within the element domains are expanded in terms of simple, approximating shape functions, a large amount of elements is required to get a reasonable prediction accuracy and this amount increases with frequency. This results in large, computationally expensive models, so that the use of FE models is practically restricted to low‐frequency applications. In a newly developed, indirect Trefftz method, the dynamic field variables are expanded in terms of wavefunctions, which exactly satisfy the governing dynamic equations. The wavefunction contributions to these expansions result from a weighted residual formulation of the boundary conditions. Since an approximation is only involved with the boundary conditions, the resulting models are substantially smaller than FE models. However, the small wave models are fully populated, complex, and frequency dependen...