FE/WSM method for structural acoustic vibration calculation under Pekeris waveguide
A technology of waveguide and elastic structure, which is applied in the fields of underwater target detection and recognition, acoustic measurement, and acoustic radiation prediction of elastic structures.
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Embodiment 1
[0047] see Figure 1 to Figure 5 , the embodiment of the present invention provides a FE / WSM-based Pekeris waveguide elastic structure vibration calculation method, the method includes the following steps:
[0048] Step 1: Use the finite element method to establish a multi-physics field coupling model of elastic structure-acoustic radiation under the local Pekeris waveguide, and perform discrete processing of the elastic structure under the three-dimensional Pekeris waveguide; use the finite difference method to solve each coupling model simultaneously, and extract the structure under the local Pekeris waveguide surface vibration data matrix U;
[0049] Among them, on the coupling surface where the surface of the elastic structure is in contact with the external fluid, the vibration velocity in the normal direction of the structure surface is the same as the vibration velocity of the external fluid medium, and the interaction relationship between the structural vibration equat...
Embodiment 2
[0057] The scheme in embodiment 1 is further introduced below in conjunction with specific examples, see the following description for details:
[0058] Such as figure 1 As shown, it is a schematic diagram of the FE / WSM theoretical model of the low-frequency acoustic radiation of any elastic structure under the Pekeris waveguide of the embodiment of the present invention. The theoretical model consists of the near-field finite element method for the discrete structure and the far-field wave superposition for the calculation of the sound field. Its calculation steps mainly include:
[0059] 1. Wave superposition method under Pekeris waveguide
[0060] Such as figure 1 As shown, the fluid density is ρ a , the fluid sound velocity is c a . The surface of the elastic structure is denoted as S, and n is the normal vector outside the surface of the structure. P is the sound pressure of the mid-point of the external fluid. Ω is the equivalent source surface inside the structu...
Embodiment 3
[0154] Calculation example 1: Calculation of point source sound propagation under Pekeris shallow sea waveguide
[0155] In order to verify the accuracy of solving Green's function by mirror method and normal wave method, Figure 5 As shown, it is a schematic diagram of the established point source sound propagation model under the Pekeris waveguide. The structure and environmental parameters of the Pekeris waveguide in the model are shown in Table 1. The point source depth is z s =10m, the field point depth is z=15m, and the adjacent distance is 1m. The upper boundary of the waveguide is the pressure release boundary, and the lower boundary is the semi-infinite liquid space (density, sound velocity, absorption coefficient) containing acoustic absorption. The depth of the waveguide is 30m, and the density and sound velocity of seawater are respectively. The near-field Green's function (17) solved by the image source method (ISM) and the far-field Green's function (23) derive...
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