Method for calculating acoustic scattering coefficient of periodic structure plate based on mesh-free model

A periodic structure and model calculation technology, applied in the field of acoustic scattering, can solve problems such as prone to distorted grids, difficult pre-processing, and non-smooth and continuous calculation results

Inactive Publication Date: 2013-02-20
NORTHWESTERN POLYTECHNICAL UNIV
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Problems solved by technology

[0003] At present, the numerical calculation of the scattering coefficient mainly adopts grid-based methods such as the boundary element method. Due to the existence of the grid, these methods have some inherent defects: firstly, the pre-processing is difficult, and the grid model must be generated before the calculation, so that the data preparation The workload is heavy, especially for relatively complex structural models, which are prone to distorted meshes; second, this type of method generally uses low-order polynomials as the interpolation function of the sound pressure function, and it is impossible to give a good solution to the problem of higher-frequency sound wave propagation. Approximation; Third, the calculation result is not smooth and continuous, and smoothing post-processing is required

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  • Method for calculating acoustic scattering coefficient of periodic structure plate based on mesh-free model
  • Method for calculating acoustic scattering coefficient of periodic structure plate based on mesh-free model
  • Method for calculating acoustic scattering coefficient of periodic structure plate based on mesh-free model

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Embodiment Construction

[0036] Now in conjunction with example, accompanying drawing, the present invention will be further described:

[0037] The present embodiment model is a sinusoidal periodic structure, as attached figure 1 shown. Each sine cycle has a length of 0.177m and a height of 0.051m. The periodic structural plate is square with a side length of 3m.

[0038] The steps of this embodiment include the following steps:

[0039] Step 1: Divide the periodic structural plate to be calculated into a periodic structural plate node model containing n uniformly distributed nodes; establish a flat reference plate, which has the same shape and thickness as the planar projection of the periodic structural plate. The reference board is also divided into a reference board node model comprising n uniformly distributed nodes;

[0040] Step 2: Evenly set 100 sound source points and receiving points on a hemispherical surface with the geometric center of the periodic structural plate node model as the ...

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Abstract

The invention discloses a method for calculating an acoustic scattering coefficient of a periodic structure plate based on a mesh-free model. The method comprises the following steps: firstly, deducing a system equation which is suitable for calculating sound pressure of nodes of a periodic structure plate; and then, modeling the periodic structure plate and a reference plate of the same dimension through the nodes, and using a moving least square method to construct a shape function; finally, combining the system equation with the shape function to acquire the sound pressure difference at the nodes, so that sound pressure of a receiving point is calculated, and a direction scattering coefficient and a mean scattering coefficient are calculated. According to the method disclosed by the invention, a mesh-free method is introduced to calculate a numerical value of the acoustic scattering coefficient of the periodic structure, so that a series of problems caused by existence of meshes in a conventional numerical method are avoided. The method has good adaptability, and can locally increase node density without re-distributing the model when frequency upper limit is needed to be calculated. Compared with measurement experiment, the method has high precision, and has an extensive application prospect in the calculation of the scattering coefficient value of the periodic structure.

Description

technical field [0001] The invention relates to the technical field of acoustic scattering, in particular to a method for calculating the acoustic scattering coefficient of a periodic structural plate based on a gridless model, which is applied to calculating the acoustic scattering coefficient of a periodic structural plate of any shape. Background technique [0002] The periodic structure is a special interface sound scattering structure, which refers to the structure in which the geometric shape of the material is arranged according to the periodic rules in the macroscopic space. The periodic structure has already existed in form and is widely used because of its good sound diffusion performance. It is mostly used in concert halls, recording studios, theaters and other places that require high sound field diffusion. The key to the application of periodic structures is the acquisition of their scattering coefficients. There are usually two ways to obtain the acoustic scat...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F19/00
Inventor 曾向阳王海涛
Owner NORTHWESTERN POLYTECHNICAL UNIV
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