Table1 Statistical table of energy distribution in the mid-to-high frequency range of coal cutters.
(1 kHz–8 kHz) 1/3-octave center frequency | Lp(dB) | Relative energy \(E \propto 10^{{0.1L_{p} }}\) | Interval energy proportion |
|---|---|---|---|
1000 | 102 | \(10^{10.2} \approx 1.58 \times 10^{10}\) | 8.2% |
1250 | 104 | \(10^{10.4} \approx 1.58 \times 10^{10}\) | 13.0% |
1600 | 106 | \(10^{10.6} \approx 1.58 \times 10^{10}\) | 20.6% |
2000 | 108 | \(10^{10.8} \approx 1.58 \times 10^{10}\) | 16.3% |
2500 | 107 | \(10^{10.7} \approx 1.58 \times 10^{10}\) | 13.0% |
3150 | 106 | \(10^{10.6} \approx 1.58 \times 10^{10}\) | 10.3% |
4000 | 105 | \(10^{10.5} \approx 1.58 \times 10^{10}\) | 8.2% |
5000 | 101 | \(10^{10.1} \approx 1.58 \times 10^{10}\) | 3.3% |
6300 | 99 | \(10^{9.9} \approx 1.58 \times 10^{10}\) | 2.1% |
8000 | 98 | \(10^{9.8} \approx 1.58 \times 10^{10}\) | 1.6% |
Total (1 kHz-8 kHz) | - | \(3.85 \times 10^{11}\) | 100% |
2 kHz–4 kHz Subtotal | - | \(1.85 \times 10^{11}\) | 62% |