使用多材料拓优化,设计具有特定频段间隙的局部共振声学元材料
Hongfang Chen1, Yu Fu1, Ling Ling1
1State Key Lab of Intelligent Manufacturing Equipment and Technology, School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China.
Materials (Basel, Switzerland)
|July 27, 2024
概括
本研究引入了局部共振声学元材料 (LRAM) 的新多材料设计方法,以实现特定频段间隙. 这种方法可以精确地控制LRAM属性,以定位振动和噪声减弱.
科学领域:
- 声学 声学 在声学方面
- 材料科学 材料科学 材料科学
- 拓优化拓的优化
背景情况:
- 局部共振声学元材料 (LRAM) 提供了潜在的亚波长频段间隙.
- 目前的研究往往缺乏用于设计具有特定,有针对性的频段差距至关重要的LRAM的方法,这些差距对于实际应用至关重要.
研究的目的:
- 开发一个参数化的基于水平集的拓优化方法,用于设计具有指定频段间隙的多材料LRAM.
- 为了在需要目标频率减弱的应用中精确控制LRAM属性.
主要方法:
- 一个参数化的基于水平集的拓优化框架,使用多种材料.
- 简化带隙计算使用同质化框架与受限制和不受限制的子系统,避免Brillouin区域依赖.
- 一个多材料表示模型,使用组合级别设置函数来实现高效的材料转换.
主要成果:
- 在设计具有特定频段间隙的LRAM时,使用三和四材料示例证明了有效性.
- 成功解决了优化问题,包括在一个频率范围内最大限度地提高带间隙宽度,并设计具有目标带间隙的轻量级LRAM.
- 验证了该方法在LRAM设计中实现所需频率约束的能力.
结论:
- 拟议的方法为设计具有精确控制带间隙的LRAM提供了一个强大的工具.
- 这种方法对于开发先进的超材料来有效减弱特定频谱,如机械振动和环境噪声,具有显著的前景.
相关概念视频
Parallel Resonance
199
The parallel RLC circuit is an arrangement where the resistor (R), inductor (L), and capacitor (C) are all connected to the same nodes and, as a result, share the same voltage across them. The parallel RLC circuit is analyzed in terms of admittance (Y), which reflects the ease with which current can flow. The admittance is given by:
199
Design Example
321
The innovation of touch-tone telephony revolutionized the telecommunications industry by replacing the traditional rotary dial with a dual-tone multi-frequency (DTMF) signaling system. This system uses a matrix-style keypad with buttons arranged in four rows and three columns, creating 12 distinct signals each assigned to a pair of frequencies. Each button press results in a simultaneous generation of two sinusoidal tones – one from a low-frequency group (697 to 941 Hz) and one from a...
321
Standing Waves in a Cavity
897
A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:
897
Sound Waves: Resonance
2.6K
Resonance is produced depending on the boundary conditions imposed on a wave. Resonance can be produced in a string under tension with symmetrical boundary conditions (i.e., has a node at each end). A node is defined as a fixed point where the string does not move. The symmetrical boundary conditions result in some frequencies resonating and producing standing waves, while other frequencies interfere destructively. Sound waves can resonate in a hollow tube, and the frequencies of the sound...
2.6K


