Abstract
A wave number method (WNM) is proposed to deal with the two-dimensional coupled structural-acoustic problem. Based on an indirect Trefftz approach, the displacement and the pressure response are approximated respectively by a set of wave functions, which exactly satisfy the governing equations and are independent of the size of the coupled system. The wave functions comprise the exact solutions of the homogeneous part of the governing equations and some particular solution functions, which arise from the external excitation. The weighting coefficients of the wave functions can be obtained by enforcing the pressure approximation to satisfy the boundary conditions and it is performed by applying the weighted residual formulation. The example is computed by the WNM and the BEM. The results show that, the WNM can attain the same accuracy and convergence as the BEM with less degrees of freedom.
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Project supported by the National Natural Science Foundation of China (No.10472035).
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Huang, F., He, Z. & Peng, W. An efficient prediction method for the two-dimensional coupled structural-acoustic analysis. Acta Mech. Solida Sin. 19, 327–333 (2006). https://doi.org/10.1007/s10338-006-0639-z
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DOI: https://doi.org/10.1007/s10338-006-0639-z