基于等效FE-BEM法的层合板隔声性能

彭涛; 侯峰; 邹学锋; 戚志民; 韩啸

doi:10.13224/j.cnki.jasp.20230191

基于等效FE-BEM法的层合板隔声性能

doi: 10.13224/j.cnki.jasp.20230191

彭涛^{1, 2, 3,},
侯峰^{1, 2, 3},
邹学锋^{1, 2, 3},
戚志民^{1, 2, 3},
韩啸^{1, 2, 3}

1.
中国飞机强度研究所航空声学与振动航空科技重点实验室，西安 710065
2.
强度与结构完整性全国重点实验室，西安 710065
3.
陕西省飞行器振动冲击与噪声重点实验室，西安 710065

基金项目: 航空科学基金（20181523005）

详细信息

作者简介:
彭涛（1991-），男，工程师，硕士，主要从事振动与噪声控制研究

中图分类号: V19
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- 文章访问数: 19
- HTML浏览量: 5
- PDF量: 2
- 被引次数: 0
出版历程
- 收稿日期: 2023-03-28
- 网络出版日期: 2023-11-04

Sound insulation performance of laminates based on the equivalent method and FE-BEM

PENG Tao^{1, 2, 3
,},
HOU Feng^{1, 2, 3},
ZOU Xuefeng^{1, 2, 3},
QI Zhimin^{1, 2, 3},
HAN Xiao^{1, 2, 3}

1.
Aviation Science and Technology Key Laboratory of Aeronautical Acoustics and Vibration，Aircraft Strength Research Institute of China，Xi’an 710065，China
2.
National Key Laboratory of Strength and Structural Integrity，Xi’an 710065，China
3.
Shaanxi Province Key Laboratory of Aircraft Vibration Impact and Noise，Xi’an 710065，China

摘要

摘要:
以对称层合板结构为对象，基于经典层合板理论，将其等效为单层各项异性板，采用FE-BEM法（hybrid finite element-boundary element method）分析了其在宽频噪声激励作用下的隔声特性。为验证等效方法的适用性，开展对称复合材料层合板模态测试和数值分析；为验证预估结论的正确性，将FE-BEM法结果与FE-SEA法（hybrid finite element-statistic energy analysis）结果、试验结果分别进行对比。结果表明：将等效方法用于对称层合板固有特性模拟是正确的，等效层合板的固有特性的仿真结果与试验值一致，误差在6.9%以内；等效方法和FE-BEM法结合进行对称层合板隔声预计是有效的，FE-BEM法预计结果与试验结果吻合良好；等效方法和FE-SEA法结合进行对称层合板隔声预计也是有效的，FE-BEM法比FE-SEA法所建模型计算耗时长，算例中计算耗时增大4.4%。
- FE-BEM /
- 隔声特性 /
- 复合材料 /
- 宽频激励 /
- 层合板
Abstract:
The sound insulation performance of symmetric laminate structure was estimated and verified by experiments. Based on the classical laminate theory, the symmetric laminate structure was equivalent to a single anisotropic plate, and its sound insulation characteristics under broadband noise excitation were analyzed by the FE-BEM （hybrid finite element-boundary element method）. In order to verify the applicability of the equivalent method, modal experiments and numerical analyses of symmetric composite laminates were carried out. To verify the correctness of the predicted conclusions, FE-BEM results were compared with FE-SEA （hybrid finite element-statistic energy analysis） results and experimental results. The results showed that the equivalent method can correctly simulate the natural characteristics of symmetrical laminates, the simulation results were consistent with the experimental results and the corresponding error was 6.9%. The equivalent method combined with the FE-BEM was effective for sound insulation prediction of symmetric laminates, and the predicted results of the FE-BEM agreed well with the experimental results. The equivalent method combined with the FE-SEA method was effective for sound insulation prediction of symmetric laminates, the calculation time of FE-BEM model was more than FE-SEA model, and the calculation time increased by 4.4%.
- FE-BEM /
- sound insulation performance /
- composite /
- broadband noise excitation /
- laminates

HTML

图 1 混响室-半消声室隔声测试示意图

Figure 1. Schematic diagram of sound transmission loss experiment

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图 2 对称层合板

Figure 2. Symmetrical laminated plate

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图 3 Helmholtz方程积分示意图

Figure 3. Integral diagram of Helmholtz equation

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图 4 对称层合板结构图

Figure 4. Structural diagram of laminated plate

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图 5 混响室测试现场

Figure 5. Experimental diagram of reverberation chamber

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图 6 层合板FE-BEM分析模型

Figure 6. FE-BEM model of laminated plate

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图 7 半消声室测试路径示意图

Figure 7. Schematic diagram of test path of semi anechoic chamber

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图 8 对称层合板隔声特性

Figure 8. Sound transmission loss of the symmetrical laminate

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图 9 单层板隔声特性

Figure 9. Sound transmission loss of single-layer plate

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图 10 对称层合板内损耗因子

Figure 10. Internal loss factor of the laminate

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表 1 层合板材料力学参数

Table 1. mechanical parameters of the laminate material

参数	数值
参数	玻璃纤维	编织材料	黏接胶层	蜂窝芯层
$ {密度} / （{{\rm{kg}}/{{\rm{m}}^3}}） $	1608	1290	998	33
$ {厚度}/{\rm{mm}} $	0.11	0.186	0.25	9.49
$ {{{E_{11}}} /{{\rm{GPa}}}} $	16.19	27.55	1.67	0.001
$ {{{E_{22}}} / {{\rm{GP}}{\rm{a}}}} $	16.19	27.55	1.67	0.001
$ {{{G_{21}}} /{{\rm{MP}}{\rm{a}}}} $	2755	2000	600	13
$ {{{G_{12}}} / {{\rm{MP}}{\rm{a}}}} $	2755	2000	600	23
泊松比	0.15	0.09	0.4	0.01

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表 2 层合板固有频率

Table 2. Natural frequencies of the laminated plate

阶次	数值解/Hz	试验值/Hz	误差/%
（1,1）	89.80	84	6.90
（2,1）	159.28	162	1.68
（1,2）	192.45	191	0.76
（2,2）	241.61	253	4.50
（1,3）	327.62	336	2.50
（4,3）	565.80	595	4.91
（5,2）	670.11	643	4.22
（5,3）	715.25	726	1.48
（6,2）	836.79	800	4.60
（6,3）	874.83	869	0.67

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表 3 试验与数值计算振型结果对比

Table 3. Comparison of modal shapes between experimental results and numerical calculation results

阶次	测试结果	数值结果
（1,1）
（2,1）
（2,2）

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表 4 数值计算时间

Table 4. Numerical calculation time

数值方法	计算耗时/s
FE-SEA	172801
FE-BEM	180321

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