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Development method of phonon crystal vibration reduction initial frequency of which is not higher than 200 Hz

A phononic crystal and frequency technology, which is applied in the development field of phononic crystals whose vibration reduction starting frequency is not higher than 200 Hz, can solve problems such as unfavorable application, and achieve the effects of strong designability and simple manufacturing process.

Inactive Publication Date: 2010-10-27
UNIV OF SCI & TECH BEIJING
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  • Description
  • Claims
  • Application Information

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Problems solved by technology

[0003] At present, because the band gap frequency of Bragg scattering phononic crystals is closely related to the period size, it is difficult to obtain a low-frequency band gap under the condition of a small period size (a few centimeters or less), which is very important for low-frequency vibration reduction and noise reduction. Aspects of unfavorable application

Method used

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  • Development method of phonon crystal vibration reduction initial frequency of which is not higher than 200 Hz
  • Development method of phonon crystal vibration reduction initial frequency of which is not higher than 200 Hz
  • Development method of phonon crystal vibration reduction initial frequency of which is not higher than 200 Hz

Examples

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Effect test

Embodiment 1

[0022] Example 1: Fabricate a phononic crystal with a vibration-damping starting frequency of 200 Hz.

[0023] The metal material is copper, and the rubber is silicon rubber. The measured material constants of the purchased materials are listed in Table 1. The period size is 0.04m. Calculate the height ratio of copper and rubber to be approximately 1 / 1, so the height of the copper block and the height of the rubber block are both 0.02m. Based on this condition, the equivalent density required to achieve 200Hz is 4 times the copper density (such as figure 1 shown), so the ratio of the rubber area to the area of ​​the copper block is 1 / 4, and the radius of the rubber column is generally taken as 0.025m according to the load-bearing requirements of the application environment, so the radius of the copper column is 0.05m (4S 橡胶 ), the cross-section bonding of the two materials results in a phononic crystal with a vibration damping frequency starting at 200 Hz.

Embodiment 2

[0024] Implementation Example 2: Making a phononic crystal with the initial frequency of vibration reduction at 70-80 Hz.

[0025] The material is still copper and silicon rubber, and the period size of the phononic crystal is determined to be 0.04m. Calculate the height ratio of copper and rubber to be approximately 1 / 1, so the height of copper and rubber is 0.02m, and the radius of the rubber column is 0.0125m according to the equipment support requirements. The equivalent density needs to be 30 times the copper density, so the ratio of the rubber area to the copper block area is 1 / 30, so the radius of the copper column is 0.0685m (21S 橡胶 ). The cross-section bonding of the two materials results in a phononic crystal with a vibration damping frequency starting at 75 Hz.

[0026] Table 1 Material parameters

[0027]

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Abstract

The invention relates to a vibration reducing and sound insulating material, in particular to a development method of a phonon crystal the vibration reduction initial frequency of which is not higher than 200 Hz. The invention comprises the following steps. Metal material with 10e10 elastic modulus magnitude order and large density and rubber material with 10e6 elastic modulus magnitude order are chosen. The period size of the phonon crystal is 0.04m according to the stability condition. According to a transfer matrix method, equivalent density is obtained through calculation. The equivalent density method is adopted and when the vibration reduction initial frequency is lower than 200Hz, the height ratio the metal material and the rubber material is approximate to 1 to 1. The sectional areas of the metal material and the rubber material are calculated. The metal material and the rubber material are spliced periodically and then the phonon crystal the vibration reduction frequency of which is not higher than 200Hz can be obtained. The invention has the beneficial effects that the invention can obtain the band gap of low frequency when the periodical size is small, is applicable to low frequency vibration and noise reduction and has simple manufacture technology and strong designability.

Description

technical field [0001] The invention relates to a shock-absorbing and sound-insulating material, in particular to a method for developing a phononic crystal whose vibration-damping starting frequency is not higher than 200 Hz. Background technique [0002] People have made great progress in the research of photonic crystals. In view of the analogy between phononic crystals and photonic crystals, phononic crystals have gradually become a new research hotspot in the past ten years. An important feature of a phononic crystal is its acoustic bandgap, that is, a phononic crystal is a functional material or structure composed of two or more elastic media with periodic structure and elastic wave bandgap characteristics. When the elastic wave propagates in the phononic crystal, affected by its internal periodic structure, a special dispersion relationship (also called band structure) is formed, and the frequency range between the dispersion relationship curves is called the band gap...

Claims

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Application Information

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IPC IPC(8): G10K11/162G10K11/165
Inventor 宋卓斐王自东张鸿林国标王艳林王强松
Owner UNIV OF SCI & TECH BEIJING
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