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EXPERIMENTAL STUDY ON INFLUENCE AREA OF VIBRATION ISOLATION EFFECT OF RECTANGULAR GROOVE IN SAND SOIL FOUNDATION
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摘要: 为了研究矩形沟槽的几何参数对沟后区域隔振效果的影响，通过现场试验分别测定自由地基以及设置矩形沟槽时相应控制点的加速度幅值，绘制关于两者比值的二维平面等值线图，以两者比值小于0.4的区域作为振动屏蔽区域，将振动屏蔽区域的面积作为隔振效果的评价指标进行分析；研究结果表明：瑞利波在传播过程中遇到矩形沟槽时会发生能量的重新分配，一部分瑞利波会突破沟槽的阻隔继续向前传播，另一部分瑞利波会被矩形沟槽反弹向后传播；矩形沟槽深度与瑞利波波长的比值为0.08~0.53时，增大该比值可以显著增大振动屏蔽区域的面积，当该比值为0.53~0.75时，对振动屏蔽区域的面积影响较小；矩形沟槽宽度与瑞利波波长的比值对振动屏蔽区域的影响较小；当矩形沟槽长度与瑞利波波长的比值在1.11~1.52范围内变化时，振动屏蔽区域的面积变化不明显；当矩形沟槽振源距离与瑞利波波长的比值为0.78~1.13时，该比值的变化对振动屏蔽区域的影响较小；矩形沟槽的归一化横截面积变化范围在0.02~0.78时对振动屏蔽区域的面积影响显著。Abstract: This paper aims to study the influence of geometric parameters of rectangular trench on the vibration isolation effect of the area behind the trench. The amplitude of acceleration at the corresponding control point when the free foundation and rectangular trench are measured respectively through field tests. The two-dimensional plane contour map about the ratio of the two are drawn. The area with a ratio less than 0.4 is taken as the vibration shielding area. The vibration shielding area is taken as the evaluation index of vibration isolation effect. The following conclusions are drawn through the research. Energy redistribution can occur when Rayleigh waves meet rectangular trench in the process of propagation. Part of Rayleigh waves can break through the barrier of trench and continue to propagate forward,while the other part can be bounced back by rectangular trench and propagate backward. When the ratio of rectangular groove depth to Rayleigh wave length is 0.08~0.53,increasing the ratio can significantly increase the vibration shielding area. But when the ratio is 0.53~0.75,it has little influence on the vibration shielding area. The ratio of rectangular trench width to Rayleigh wave length has little influence on the vibration shielding area. When the ratio of rectangular trench length to Rayleigh wave length varies within the range of 1.11~1.52,the vibration shielding area does not change significantly. When the ratio of the rectangular trench source distance to the Rayleigh wave length is 0.78~1.13,the change of the ratio has little influence on the vibration shielding area. When the normalized cross-sectional area of the trench varies from 0.02 to 0.78,it has a significant effect on the area of the vibration shielding area.
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表 3 深度参数工况明细表
Table 3. Depth parameter case list
试验工况 频率/Hz 深度d/cm 深度参数D 1-1 30 0.08 1-2 30 50 0.14 1-3 70 0.19 1-4 30 0.16 1-5 60 50 0.26 1-6 70 0.36 1-7 30 0.33 1-8 120 50 0.54 1-9 70 0.76 
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表 4 振动屏蔽区域面积一览表
Table 4. List of acreage of vibration shielding area
工况 1-1 1-2 1-3 1-4 1-5 1-6 1-7 1-8 1-9 D 0.08 0.14 0.19 0.16 0.26 0.36 0.33 0.54 0.76 S0.4/m2 0.16 0.27 0.33 0.25 0.29 0.41 0.37 0.40 0.45
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表 5 深度参数列表
Table 5. Depth parameter list
D 0.08 0.31 0.53 0.75 S0.4/m2 0.20 0.36 0.42 0.47 S′0.4 1.50 0.39 0.23 0.16
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表 6 宽度参数工况明细表
Table 6. Width parameter case list
试验工况 频率/Hz 宽度w/cm 宽度参数W 2-1 5 0.01 2-2 30 15 0.04 2-3 25 0.07 2-4 5 0.03 2-5 60 15 0.08 2-6 25 0.13 2-7 5 0.05 2-8 120 15 0.16 2-9 25 0.27
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表 7 振动屏蔽区域面积一览表
Table 7. List of acreage of vibration shielding area
工况 2-1 2-2 2-3 2-4 2-5 2-6 2-7 2-8 2-9 W 0.01 0.04 0.07 0.03 0.08 0.13 0.05 0.16 0.27 S0.4/m2 0.26 0.27 0.32 0.28 0.29 0.33 0.31 0.40 0.38
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表 8 长度参数工况明细表
Table 8. Length parameter working condition schedule
试验工况 频率/Hz 长度l/cm 长度参数L 3-1 100 0.27 3-2 30 120 0.33 3-3 140 0.38 3-4 100 0.52 3-5 60 120 0.62 3-6 140 0.73 3-7 100 1.09 3-8 120 120 1.30 3-9 140 1.52
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表 9 振动屏蔽区域面积一览表
Table 9. List of acreage of vibration shielding area
工况 3-1 3-2 3-3 3-4 3-5 3-6 3-7 3-8 3-9 L 0.27 0.33 0.38 0.52 0.62 0.73 1.09 1.30 1.52 S0.4/m2 0.16 0.27 0.28 0.21 0.29 0.37 0.38 0.40 0.47
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表 10 长度参数列表
Table 10. Length parameter list
L 0.29 0.70 1.11 1.52 S0.4 0.21 0.33 0.40 0.44 S′0.4 0.48 0.20 0.13 0.09
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表 11 距离参数试验工况明细表
Table 11. Distance parameter case list
试验工况 频率/Hz 距离e/cm 距离参数E 4-1 30 0.08 4-2 30 60 0.16 4-3 104 0.28 4-4 30 0.16 4-5 60 60 0.31 4-6 104 0.54 4-7 30 0.33 4-8 120 60 0.65 4-9 104 1.13
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表 12 振动屏蔽区域面积一览表
Table 12. List of acreage of vibration shielding area
工况 4-1 4-2 4-3 4-4 4-5 4-6 4-7 4-8 4-9 E 0.08 0.16 0.28 0.16 0.31 0.54 0.33 0.65 1.13 S0.4/m2 0.21 0.27 0.30 0.24 0.29 0.41 0.34 0.40 0.46
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表 13 距离参数列表
Table 13. Distance parameter list
E 0.08 0.43 0.78 1.13 S0.4 0.19 0.36 0.42 0.45 S′0.4 1.25 0.23 0.13 0.09
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表 14 归一化横截面积工况明细表
Table 14. Normalized cross-sectional area schedule of conditions
试验工况 频率/Hz 深×长/cm×cm 归一化横截面积N 5-1 30×100 0.02 5-2 30 50×120 0.04 5-3 70×140 0.07 5-4 30×100 0.08 5-5 60 50×120 0.16 5-6 70×140 0.26 5-7 30×100 0.35 5-8 120 50×120 0.71 5-9 70×140 1.16
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表 15 振动屏蔽区域面积一览表
Table 15. List of acreage of vibration shielding area
工况 5-1 5-2 5-3 5-4 5-5 5-6 5-7 5-8 5-9 D 0.02 0.04 0.07 0.08 0.16 0.26 0.35 0.71 1.16 S0.4 /m2 0.16 0.27 0.30 0.20 0.29 0.37 0.38 0.40 0.49
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表 16 归一化横截面积列表
Table 16. List of normalized cross-sectional areas
N 0.02 0.40 0.78 1.16 S0.4 0.18 0.39 0.43 0.46 S′0.4 3.50 0.18 0.09 0.06
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