摘要
针对工程陶瓷材料对声波的传播过程中声透射系数问题,从波动方程入手,利用传递矩阵法及声波气-固边界条件建立了声波在工程陶瓷材料的声透射系数特性数学模型,研究了垂直入射条件下不同频率声波在工程陶瓷材料中的声透射系数规律。仿真结果表明,当工程陶瓷材料的厚度为半波长整数倍时,此时声透射系数最大;当声波的频厚积是陶瓷厚度与其声速乘积一半的整数倍时,此时声透射系数最大。为工程陶瓷材料的隔声性能分析及声学检测提供了一定的理论基础。
For the problem of the acoustic transmission coefficient of wave in engineering ceramic materials,the mathematical model of the acoustic transmission coefficient is built according to the wave equation,transfer matrices and gas-solid boundary conditions. The rule of acoustic transmission coefficient is researched under the condition that the different frequency wave vertically incidence in the ceramic material. Simulation results show the acoustic transmission coefficient is the maximum when thickness of ceramic material is an integer time of half wavelength or the frequency-thickness is integer time of half of product of acoustic velocity of ceramics and its thickness. It provides the theoretical base for sound insulation performance analysis and acoustic detection of the ceramic.
出处
《硅酸盐通报》
CAS
CSCD
北大核心
2017年第12期4010-4013,共4页
Bulletin of the Chinese Ceramic Society
基金
国家自然科学基金(51305184
51565020)
江西省教育厅科技项目(GJJ161485)
关键词
工程陶瓷
透射系数
波动方程
频厚积
engineering ceramic
transmission coefficient
wave equation
frequency-thickness