Parameter Identification of Virtual Material in Fixed Joint Interface of BFPC
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摘要: 为了准确识别玄武岩纤维树脂混凝土(Basalt fiber folymer concrete, BFPC)固定结合面虚拟材料参数, 基于两自由度弹簧-阻尼动力学模型建立了BFPC固定结合面动态模型, 在此基础上辅以实验测试方法确定了9组不同表面粗糙度和结合面压下的BFPC结合面动态特性参数。基于横观各向同性、赫兹接触理论和分形理论建立了BFPC结合面虚拟材料的动态特性参数数学模型, 结合实验结果识别不同表面粗糙度和结合面压下的虚拟材料参数。通过对比含有BFPC结合面的组件模态振型和固有频率理论分析和有限元仿真分析结果, 证明了BFPC结合面虚拟材料参数识别方法的正确性。Abstract: In order to accurately identify the virtual material parameters of the fixed joint interface of basalt fiber polymer concrete(BFPC), based on the two degree of freedom system spring-damping dynamic models, the dynamics characteristics parameter mathematical model for the fixed joint surfaces of the BFPC was established, and the dynamics characteristics parameter of the BFPC joint surfaces under different surfaces roughness and pressures of the 9 sets are determined by the experiments. The dynamic characteristic parameter model for the virtual material of the BFPC joint surfaces was established in terms of the transversely isotropic Hertz contact theory and the fractal theory of the fixed joint surfaces, and the parameters of the virtual materials under different surface roughness and joint pressures were identified by combining the experimental results. The correctness of the identification method of the virtual material parameters of the BFPC fixed joint surface is proved by comparing the principal and natural frequency theoretical analysis and the finite element simulation analysis result of the BFPC combination surface model.
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表 1 BFPC固定结合面刚度与阻尼
结合面压P/MPa 粗糙度Ra/μm 单位面积法向刚度Kn/(N·m-1·mm-2) 单位面积法向阻尼Cn/(N·s·m-1·mm-2) 单位面积切向刚度Kt/(N·m-1·mm-2) 单位面积切向阻尼Ct/(N·s·m-1·mm-2) 0.2 3.2 7 769.34 0.004 34 4 765.00 0.003 25 6.3 3 874.31 0.003 81 3 397.79 0.003 04 12.5 3 149.17 0.003 61 3 841.16 0.002 87 0.5 3.2 21 008.29 0.005 18 15 734.00 0.003 45 6.3 14 399.17 0.004 81 10 469.61 0.003 27 12.5 12 140.88 0.004 36 7 900.55 0.003 11 0.8 3.2 25 856.35 0.005 56 16 832.00 0.003 48 6.3 21 029.01 0.005 01 14 917.13 0.003 33 12.5 19 495.86 0.004 85 10 727.90 0.003 24 
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表 2 法向弹性模量与剪切模量
序号 粗糙度Ra/μm 预载荷P/MPa 法向弹性模量En/GPa 切向弹性模量Et/GPa 剪切模量G/GPa 密度ρ/(kg·m-3) 分形维数D 分形粗糙度系数G/1013 m 法向泊松比νn 切向泊松比νt 1 3.2 0.2 7.77 3.00 0.48 316.74 1.191 2.25 - - 2 6.3 0.2 3.87 0.13 0.34 13.23 1.169 2.78 - - 3 12.5 0.2 3.15 0.03 0.38 2.74 1.155 3.12 - - 4 3.2 0.5 21.01 13.47 1.57 1420.04 1.191 2.25 - - 5 6.3 0.5 14.40 1.07 1.05 112.70 1.169 2.78 0 0 6 12.5 0.5 12.14 0.25 0.79 26.60 1.155 3.12 - - 7 3.2 0.8 25.86 18.51 1.68 1950.91 1.191 2.25 - - 8 6.3 0.8 21.03 1.99 1.49 209.95 1.169 2.78 - - 9 12.5 0.8 19.50 0.56 1.07 29.24 1.155 3.12 - -
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表 3 主阶模态固有频率的仿真分析与实验结果对比
序号 粗糙度/μm 预载荷/MPa 实验固有频率/Hz 仿真固有频率/Hz 误差/% 1 3.2 0.2 1 172.5 1 186.8 1.22 2 6.3 0.2 1 165.1 1 159.0 -0.52 3 12.5 0.2 1 160.1 1 154.2 -0.51 4 3.2 0.5 1 214.7 1 285.0 5.79 5 6.3 0.5 1 195.4 1 236.2 3.42 6 12.5 0.5 1 179.0 1 219.1 3.40 7 3.2 0.8 1 241.6 1 319.5 6.28 8 6.3 0.8 1 232.6 1 284.8 4.23 9 12.5 0.8 1 192.0 1 271.9 6.70
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