Research on fast response pressure sensitive paint technology multi-frequency pressure verification system and its application
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摘要:
PSP（压力敏感涂料）技术在高空间分辨率下的动态压力解析能力受到多因素钳制，其技术迭代亟需可靠的动态数据反馈。基于矩形谐振腔理论设计并构建了一种多频压力发生器，采用频域分析和PSP测压方法对其前5个低频驻波模式下的时空压力进行了数值与实验研究。结果表明声源安装位置会影响矩形谐振腔驻波模式激起的有效性，安装位置位于壁面近顶角处时可完成所有理论驻波模式的激起。实时动态PSP测压主要受到时域噪声的严重干扰，仅能用于定性观察，定量结果可靠性差。基于相位平均的测压结果证明了构建的多频压力发生系统均有效实现了设计频率下驻波模式的激起和对应时空压力的形成，在单声源输入下可产生幅值约为0.8 kPa的时空动态压力。验证了论文所用典型PSP动态测压系统的能力，在频率为
1192 Hz动态压力环境中，实现了空间分辨率4测点/mm2，测压精度为50 Pa。Abstract:The dynamic pressure analysis capability of PSP (pressure sensitive paint) technology at high spatial resolution was constrained by multiple factors. Reliable dynamic data feedback was urgently required for its technological iteration. A multi-frequency pressure generator was designed and constructed based on the theory of rectangulawar resonant cavity. The spatiotemporal pressure of the first five low-frequency standing wave modes was numerically and experimentally studied using frequency domain analysis and PSP technology. The results showed that the installation position of the sound source could affect the excitation effectiveness of the standing wave mode. All theoretical standing wave modes can be excited while the installation position was located near the top corner of the wall. The real-time dynamic PSP results were severely affected by time-domain noise, resulting in poor reliability of quantitative results. The pressure measurement results based on phase averaging demonstrated that the constructed multi-frequency pressure generation system effectively achieved the excitation of standing wave modes and the formation of corresponding spatiotemporal pressures at the design frequency. Under single sound source input, spatiotemporal dynamic pressure with an amplitude of approximately 0.8 kPa can be generated. The ability of the typical PSP dynamic measurement system was verified, achieving a spatial resolution of 4 points per mm2 and a measurement accuracy of 50 Pa in a dynamic pressure environment with a frequency of
1192 Hz. -
图 5 声源位置对归一化压力（pnorm）分布的影响
Figure 5. Influence of sound source location on normalize pressure （pnorm） distribution
图 6 输入频率
1000 Hz下的归一化压力分布Figure 6. Normalized pressure distribution at the input frequency of
1000 Hz
图 7 双扬声器与单扬声器幅值对比
Figure 7. Comparison of amplitude between dual speakers and single speaker
图 8 双扬声器不同相位差下的归一化压力分布
Figure 8. Normalize pressure distribution under dual speaker at different phase differences
图 9 PSP动态测压技术校验系统
Figure 9. Verification system for PSP dynamic measurement technology
图 15 原位校准结果（输入频率为500 Hz）
Figure 15. Results of the in-situ calibration（Input frequency of 500 Hz）
图 16 不同数据处理方法的结果（输入频率为650 Hz）
Figure 16. Results of different data processing methods（input frequency of 650 Hz）
图 17 不同输入频率下PSP结果与数值结果
Figure 17. PSP results and numerical results under different input frequencies
图 19 不同输入频率下的空间压力定量数据
Figure 19. Quantitative pressure data in space at different input frequencies
表 1 计算工况
Table 1. Calculation conditions
驻波模式（nx, ny, nz） Fn/Hz 输入频率/Hz （1，0，0） 499.8 500 （0，1，0） 650.7 650 （1，1，0） 820.5 820 （2，0，0） 999.6 1000 （2，1，0） 1192.7 1192 
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表 2 系统参数
Table 2. System parameters
参数 数值 最小驻波频率/Hz 500 声源灵敏度/dB 108 声源额定功率/W 230 光源稳定性/% 99.5
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表 3 实验工况
Table 3. Experimental conditions
输入频率/Hz 帧率/（帧/s） 图像曝光时间/μs 500 5000 190 650 6500 153 820 8200 120 1 192 5960 160
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表 4 校准系数
Table 4. Calibration coefficient
频率/Hz 系数A 系数B 500 0.2985 0.7015 650 0.3276 0.6724 820 0.3740 0.6260 1192 0.4479 0.5521
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