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== <span style="color: #FFFFFF;">Applying</span> == '''Vibration-based predictive maintenance:''' <syntaxhighlight lang="python"> import numpy as np import pandas as pd from scipy.fft import fft, fftfreq from sklearn.ensemble import IsolationForest import torch import torch.nn as nn # Load vibration sensor data (time series from accelerometer) # Sample rate 25.6 kHz, 1-second windows def extract_spectral_features(vibration_signal: np.ndarray, sample_rate: int = 25600) -> np.ndarray: """Extract frequency-domain features for ML.""" N = len(vibration_signal) freqs = fftfreq(N, 1/sample_rate)[:N//2] fft_vals = np.abs(fft(vibration_signal))[:N//2] # RMS and peak features rms = np.sqrt(np.mean(vibration_signal**2)) peak = np.max(np.abs(vibration_signal)) crest_factor = peak / rms # Frequency band energies (diagnostic frequency bands for bearing faults) bands = [(0, 1000), (1000, 5000), (5000, 10000), (10000, 12800)] band_energies = [] for f_low, f_high in bands: mask = (freqs >= f_low) & (freqs < f_high) band_energies.append(np.sum(fft_vals[mask]**2)) return np.array([rms, peak, crest_factor] + band_energies) # Fit anomaly detector on normal operation data normal_windows = load_normal_vibration_data() # shape: (N, window_size) features = np.array([extract_spectral_features(w) for w in normal_windows]) detector = IsolationForest(contamination=0.01, n_estimators=200) detector.fit(features) # Real-time monitoring def monitor_bearing(live_window: np.ndarray) -> dict: feats = extract_spectral_features(live_window).reshape(1, -1) score = detector.score_samples(feats)[0] # More negative = more anomalous is_anomaly = detector.predict(feats)[0] == -1 return {'anomaly': is_anomaly, 'score': score, 'alert': 'MAINTENANCE REQUIRED' if is_anomaly else 'NORMAL'} </syntaxhighlight> ; Manufacturing AI application map : '''Predictive maintenance''' β Vibration + FFT + Isolation Forest / LSTM autoencoder : '''Visual inspection''' β EfficientNet/ResNet fine-tuned on defect images; anomaly-based (PatchCore) : '''Process optimization''' β Bayesian optimization (Ax/BoTorch), RLHF for process control : '''Digital twins''' β NVIDIA Omniverse, Siemens Tecnomatix, Ansys Twin Builder : '''Energy optimization''' β DeepMind's RL for data center cooling (40% savings) </div> <div style="background-color: #8B4500; color: #FFFFFF; padding: 20px; border-radius: 8px; margin-bottom: 15px;">
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