Forecast technology of aero engine blade HCF stress at high temperatures based on blade profile constant
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摘要:
依据共振状态下悬臂梁振动应力的表达式,定义了不随温度变化而变化的叶型常数;通过在常温下测试叶片一阶共振应力与振幅的线性关系,可求出该常数。结合高温下容易测试的振幅、共振频率等参数,实现了高温状态下共振应力的预测。通过高温应变计对涡轮叶片进行了 500、600、800、900 ℃的应变、振幅测试试验。实际测试结果与预测结果的比较表明,该预测技术是可行的,可以在不使用高温应变计的情况预测叶片在高温下的应力。应变绝对误差小于 5×10−5。
Abstract:According to the expression of vibration stress of the cantilever beam under the resonance state, the blade shape constant which wouldn’t change with temperature change was defined. This constant can be calculated by testing the linear relationship between the first-order resonance stress and the amplitude of the blade at room temperature. Combined with amplitude and resonance frequency, which were easy to test at high temperature, the prediction of resonance stress at high temperature was realized. Turbine blade strain and amplitude were tested at 500, 600, 800 ℃ and 900 ℃ by high temperature strain gage. Comparison between true result and forecast result showed the applicability of the forecast technology. Absolute Strain error was less than 5×10−5.
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表 1 常温下高温喷涂应变片测试值与振幅关系
Table 1. Relationship between test values and amplitude of high-temperature sprayed strain gauges at room temperature
应变/10−6 振幅/μm a/g 27.4 9.6 2 93.5 33.9 5 127.4 45.8 8 193.5 69.5 10 253.1 93.6 15 301.1 107.6 17.5 表 2 常温下水泥胶应变片测试值与振幅关系
Table 2. Relationship between test value and amplitude of cement glue strain gauge at room temperature
应变/10−6 振幅/μm a/g 16 4.3 2 44 11.6 5 78.6 20.5 8 113.4 31.2 10 141.6 37.5 15 164.7 41.5 17.5 表 3 DD6不同温度下弹性模量
Table 3. Elasticity of DD6 at different temperatures
t/℃ E/GPa 25 130.5 300 132.1 500 125.1 600 115.9 750 108.1 800 109.0 850 101.2 900 98.7 表 4 不同温度下的叶片共振频率
Table 4. Resonance frequency of blade at different temperatures
t/℃ FA/Hz FB/Hz 25 2391.3 2350.6 500 2328.3 2305.7 600 2290.8 2262.2 800 2226.1 2196.3 900 2139.2 表 5 500 ℃下叶片A实测应变与预测应变对比
Table 5. Comparison between true result and forecast result of blade A at 500 ℃
A/μm ε1 ε2 相对误差/% 5.2 15.3 14.4 −5.9 15.2 46.3 42.2 −8.9 45.7 135.5 126.8 −6.4 52.7 145.4 146.2 0.6 81.5 226.6 226.1 −0.2 86.5 247.2 240.0 −2.9 表 6 600 ℃下叶片A实测应变与预测应变对比
Table 6. Comparison between true result and forecast result of blade A at 600 ℃
A/μm ε1 ε2 相对误差/% 17.8 56.6 51.7 −8.7 24.8 76.8 70.6 −8.1 29.8 89.1 84.9 −4.7 43.2 132.8 123.0 −7.4 50.1 150.1 142.7 −4.9 66.0 196.2 188.0 −4.2 80.5 234.3 229.3 −2.1 表 7 800 ℃下叶片A实测应变与预测应变对比
Table 7. Comparison between true result and forecast result of blade A at 800 ℃
A/μm ε1 ε2 相对误差/% 8.7 26.6 24.8 −6.8 23.6 66.8 67.4 −0.9 31.8 93.1 90.8 −2.5 64.5 190.8 184.1 −3.5 79.8 240.1 227.7 −5.2 101.0 301.2 288.3 −4.3 表 8 500 ℃下叶片B实测应变与预测应变对比
Table 8. Comparison between true result and forecast result of blade B at 500 ℃
A/μm ε1 ε2 相对误差/% 10.2 35.3 39.6 12.2 22.4 77.3 87.0 12.5 35.5 125.7 137.8 9.6 44.6 186.6 173.2 −7.2 53.6 226.7 208.1 −8.2 62.5 256.2 242.7 −5.3 表 9 600 ℃下叶片B实测应变与预测应变对比
Table 9. Comparison between true result and forecast result of blade B at 600 ℃
A/μm ε1 ε2 相对误差/% 10.7 37.7 42.3 12.2 15.7 55.2 62.0 12.3 24.5 89.7 96.8 7.9 33.8 138.2 133.5 −3.4 38.2 157.3 150.9 −4.1 表 10 800 ℃下叶片B实测应变与预测应变对比
Table 10. Comparison between true result and forecast result of blade B at 800 ℃
A/μm ε1 ε2 相对误差/% 30.1 116.1 119.3 2.8 38.5 156.4 152.6 −2.4 50.1 203.1 198.6 −2.2 80.0 305.0 317.1 4.0 107.7 445.0 424.1 −4.7 表 11 900 ℃下叶片B实测应变与预测应变对比
Table 11. Comparison between true result and forecast result of blade B at 900 ℃
A/μm ε1 ε2 相对误差/% 18.2 65.1 55.6 −14.6 30.1 132.8 118.4 −10.8 38.5 243.4 239.7 −1.5 50.1 274.4 311.1 13.4 80.0 621.8 625.3 0.6 107.0 865.7 832.2 −3.9 -
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