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Topological optimization method for interval contraction sound insulation structure

A technology of topology optimization and sound insulation, applied in design optimization/simulation, special data processing applications, computer-aided design, etc., can solve problems such as poor sound insulation and ventilation, and impractical narrow band, to achieve bandwidth expansion, improve structural ventilation performance, Highly designable effects

Pending Publication Date: 2021-01-05
NANJING UNIV
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Problems solved by technology

[0006] Purpose of the invention: In order to solve the problem of poor sound insulation and ventilation of traditional multi-layer boards and the impractical narrow band caused by the local resonance mechanism of acoustic sound insulation metamaterials, the present invention provides a topology optimization method for space contraction sound insulation structures

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  • Topological optimization method for interval contraction sound insulation structure
  • Topological optimization method for interval contraction sound insulation structure
  • Topological optimization method for interval contraction sound insulation structure

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Embodiment Construction

[0034] The present invention will be further described below in conjunction with the accompanying drawings and specific embodiments.

[0035] In this embodiment, the initial design unit consists of a sound barrier formed by space shrinkage, such as figure 1 As shown, its structural parameter l 1 =0.015m, l 2 =0.01m, l 3 = 0.2m, l 4 = 0.01m, d = 0.045m, d 1 = d 2 = 0.015m. Design domain Ω d Surrounding the air domain in which sound waves propagate, the evaluation domain Ω eva Set to the far right. The material parameters density ρ and bulk modulus κ of air domain and design domain are respectively ρ 1 =1.204kg / m 3 , κ 1 =1.42×10 5 Pa, ρ 2 =1.18×10 3 kg / m 3 ,κ 2 =1.39×10 8 Pa, the maximum material volume fraction is 0.6. The steps of the topology optimization method for the space shrinkage sound insulation structure are as follows:

[0036] (1) Establish a topology optimization model. According to the Helmholtz equation, the sound field of the space contracti...

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Abstract

The invention discloses a topological optimization method for an interval contraction sound insulation structure, which comprises the following steps of performing acoustic modeling on the interval contraction sound insulation structure according to a Helmholtz equation, and proposing a new interpolation function for continuous material interpolation of density and volume modulus by adopting a topological optimization method based on a variable density method. A constraint condition of the volume fraction of the material in the design domain is introduced, sensitivity analysis is carried out on an objective function and the constraint function by using an adjoint method by taking the minimized quadratic sum of the transmission sound pressure of the target frequency band in the evaluation domain as the objective function, and the objective function is optimized by using a moving asymptotic line method to obtain the optimal distribution of the solid material in the design domain; and finally, broadband sound insulation of the ventilation sound barrier in a limited space is realized. The method gets rid of the traditional thought of designing sound insulation structure parameters by experience, takes sound insulation frequency band widening as a target, and reversely designs material distribution by means of a topological optimization algorithm to obtain the optimal sound barrierwith the characteristics of broadband, ventilation, light weight and the like.

Description

technical field [0001] The invention relates to a topology optimization method of a space contraction sound insulation structure, in particular to a topology optimization method of a broadband ventilation sound barrier based on a new interpolation function. Background technique [0002] Sound insulation is of great importance in acoustics and finds wide-ranging applications in various scenarios ranging from noise control to architectural acoustics. [0003] Traditional sound barriers achieve impedance mismatch by inserting layered materials. If realized with natural materials, the structural size will be huge. Conventional sound barriers designed for sound insulation will simultaneously block the transmission of airflow, which is not practical in the specific case of reducing noise while maintaining ventilation. The development of acoustic metamaterials provides the possibility for the design of sound barriers for ventilation. However, the sound-insulating metamaterials bas...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F30/23G06F111/10G06F119/10
CPCG06F30/23G06F2119/10G06F2111/10
Inventor 杨京梁彬徐自翔程建春
Owner NANJING UNIV
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