{ "format": "LazyAnalysis graph", "format_version": 2, "saved_with": "LazyAnalysis MCP graph generator", "graph": { "type": "Graph", "id": 1000207, "old id": 1000207, "title": "Bearing fault detection | envelope analysis", "name": "Bearing fault detection | envelope analysis", "number of input pins": 0, "number of output pins": 0, "pins": [], "ui settings": { "node position x": 0, "node position y": 0, "custom ui settings": { "is_dashboard_mode_": true, "is_dashboard_edit_mode_": false, "dashboard_nodes": [ { "node_id": 1000063, "position": [ 24.0, 130.0 ], "size": [ 922.0, 290.0 ], "card_style": -1, "accent_preset": -1 }, { "node_id": 1000083, "position": [ 962.0, 130.0 ], "size": [ 614.0, 290.0 ], "card_style": -1, "accent_preset": -1 }, { "node_id": 1000107, "position": [ 24.0, 436.0 ], "size": [ 376.0, 230.0 ], "card_style": -1, "accent_preset": -1, "property_bindings": { "critical_threshold": { "version": 1, "source": "exposed_parameter", "parameter": "alarm_db" } } }, { "node_id": 1000130, "position": [ 416.0, 436.0 ], "size": [ 376.0, 230.0 ], "card_style": -1, "accent_preset": -1, "property_bindings": { "critical_threshold": { "version": 1, "source": "exposed_parameter", "parameter": "alarm_db" } } }, { "node_id": 1000153, "position": [ 808.0, 436.0 ], "size": [ 376.0, 230.0 ], "card_style": -1, "accent_preset": -1, "property_bindings": { "critical_threshold": { "version": 1, "source": "exposed_parameter", "parameter": "alarm_db" } } }, { "node_id": 1000095, "position": [ 1200.0, 436.0 ], "size": [ 376.0, 230.0 ], "card_style": -1, "accent_preset": -1 }, { "node_id": 1000118, "position": [ 24.0, 682.0 ], "size": [ 507.0, 160.0 ], "card_style": -1, "accent_preset": -1 }, { "node_id": 1000141, "position": [ 547.0, 682.0 ], "size": [ 507.0, 160.0 ], "card_style": -1, "accent_preset": -1 }, { "node_id": 1000164, "position": [ 1069.0, 682.0 ], "size": [ 507.0, 160.0 ], "card_style": -1, "accent_preset": -1 } ], "dashboard_z_order": [ 1000063, 1000083, 1000107, 1000130, 1000153, 1000095, 1000118, 1000141, 1000164 ], "dashboard_flow_order": [ 1000063, 1000083, 1000107, 1000130, 1000153, 1000095, 1000118, 1000141, 1000164 ], "notes": { "node_editor_notes": [ { "id": 6, "pos": [ 0.0, -240.0 ], "size": [ 4140.0, 150.0 ], "markdown": "# Bearing fault detection | envelope analysis\n\nVibration of a ball bearing with an outer race defect: band-pass, rectify, low-pass, FFT, then the envelope spectrum is checked at the outer race, inner race and ball defect frequencies.", "style": { "look": 3, "has_accent": false, "accent": [ 0.36, 0.61, 1.0, 1.0 ], "font": "Theme", "text_size": 2, "align": 0, "grow": true, "shadow": true, "rounding": -1.0, "opacity": 1.0 } }, { "id": 1, "pos": [ 0.0, 1130.0 ], "size": [ 460.0, 330.0 ], "markdown": "## The recording\nA simulated accelerometer on a 6205 ball bearing, 1797 rpm, 12 kHz for 10 s (120000 samples): shaft unbalance, a little misalignment, broadband sensor noise and **an outer race defect**: an impact every 1/107.36 s that rings a 3 kHz structural resonance.\n\nThe formula stores nothing: each sample is computed when a node reads it. Replace this node with a CSV or a live acquisition and the rest of the graph is unchanged.", "style": { "look": 7, "has_accent": false, "accent": [ 0.36, 0.61, 1.0, 1.0 ], "font": "Theme", "text_size": 1, "align": 0, "grow": true, "shadow": true, "rounding": -1.0, "opacity": 1.0 }, "anchor_node_id": 1000001, "anchor_offset": [ 0.0, 1130.0 ] }, { "id": 2, "pos": [ 540.0, 1370.0 ], "size": [ 460.0, 380.0 ], "markdown": "## Envelope analysis\nBearing impacts are buried in the raw spectrum. Band-pass around the resonance they excite, rectify, low-pass: what is left is the *envelope*, which repeats at the defect frequency.\n\nThese three nodes build an expression instantly; the numbers are computed when the FFT reads them (in the background, the editor stays responsive). Each filter keeps the samples it has computed, so the envelope plot and the FFT do not compute them twice.", "style": { "look": 7, "has_accent": false, "accent": [ 0.36, 0.61, 1.0, 1.0 ], "font": "Theme", "text_size": 1, "align": 0, "grow": true, "shadow": true, "rounding": -1.0, "opacity": 1.0 }, "anchor_node_id": 1000009, "anchor_offset": [ 0.0, 730.0 ] }, { "id": 3, "pos": [ 3360.0, 1400.0 ], "size": [ 780.0, 330.0 ], "markdown": "## What recomputes when you change something\n- **Alarm level**: only the three *minus alarm level* nodes, their 0/1 masks and the badges. The filters, the FFT and the peaks are not touched.\n- **Band-pass coefficients**: the band-pass, rectify, low-pass, FFT and everything after them. The formula node does not run again; the filter reads its samples on demand.\n- **A defect band** (its selector rows): only that defect's peak, gauge, mask and badge.\n\nA node runs only when one of its own inputs changes.", "style": { "look": 7, "has_accent": false, "accent": [ 0.36, 0.61, 1.0, 1.0 ], "font": "Theme", "text_size": 1, "align": 0, "grow": true, "shadow": true, "rounding": -1.0, "opacity": 1.0 }, "anchor_node_id": 1000095, "anchor_offset": [ 860.0, 0.0 ] }, { "id": 4, "pos": [ 2820.0, 1400.0 ], "size": [ 480.0, 260.0 ], "markdown": "## Defect frequencies (6205 bearing at 29.95 Hz)\n- BPFO 107.36 Hz: outer race\n- BPFI 162.19 Hz: inner race\n- BSF 70.59 Hz: rolling element\n\nEach check takes the highest dB value within 1.5 Hz of its frequency and compares it with the alarm level.", "style": { "look": 7, "has_accent": false, "accent": [ 0.36, 0.61, 1.0, 1.0 ], "font": "Theme", "text_size": 1, "align": 0, "grow": true, "shadow": true, "rounding": -1.0, "opacity": 1.0 }, "anchor_node_id": 1000097, "anchor_offset": [ 320.0, 1400.0 ] } ], "dashboard_notes": [ { "id": 5, "pos": [ 24.0, 14.0 ], "size": [ 1552.0, 99.0 ], "markdown": "# Bearing fault detection | envelope analysis\n\n6205 bearing at 1797 rpm. A peak at BPFO in the envelope spectrum means an outer race defect. Turn the alarm level to see what trips.", "style": { "look": 3, "has_accent": false, "accent": [ 0.36, 0.61, 1.0, 1.0 ], "font": "Theme", "text_size": 1, "align": 0, "grow": true, "shadow": true, "rounding": -1.0, "opacity": 1.0 } } ], "default_note_style": { "look": 0, "has_accent": false, "accent": [ 0.36, 0.61, 1.0, 1.0 ], "font": "Theme", "text_size": 1, "align": 0, "grow": true, "shadow": true, "rounding": -1.0, "opacity": 1.0 } }, "publish settings": { "dashboard theme": "", "card style": 0, "control family": "", "lock level": 1, "opens on dashboard": true, "keeps user values": false, "title scale": 1.0, "shrinks long titles": true, "dashboard layout": 2, "flow direction": 0, "wheel adjusts controls": true }, "dashboard_appearance": { "source": "current_user", "embedded_theme_id": "", "theme": { "name": "26. Midnight Tide", "base": "26. 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Quantum HUD", "values": {} } }, "images": { "node_editor": [], "dashboard": [] }, "comments": { "node_editor": [], "dashboard": [] } } }, "custom node settings": { "nodes": { "number of nodes": 38, "nodes": [ { "type": "FormulaGeneratorNode", "id": 1000001, "old id": 1000001, "title": "Formula", "name": "Accelerometer, 10 s at 12 kHz", "number of input pins": 0, "number of output pins": 1, "pins": [ { "id": 1000002, "old id": 1000002, "kind": "output", "index": 0, "type": "Pin", "title": "y", "identifier": "formula_output_pin_", "data dimensionality": 2, "is hidden in ui": false, "suppress stop on update": false } ], "custom node settings": { "formula expression": "0.30*sin(2*pi*29.9500*t) + 0.10*sin(2*pi*59.9000*t + 0.5) + 1.0*exp(-(((107.3648*t + 0.2*sin(2*pi*0.7*t)) - floor((107.3648*t + 0.2*sin(2*pi*0.7*t))))/107.3648)/0.0006)*sin(2*pi*3000*(((107.3648*t + 0.2*sin(2*pi*0.7*t)) - floor((107.3648*t + 0.2*sin(2*pi*0.7*t))))/107.3648)) + 1.2*(sin(i*12.9898)*43758.5453 - floor(sin(i*12.9898)*43758.5453) - 0.5)", "formula rows": 120000, "formula columns": 1, "formula initial time": 0.0, "formula sample period": 8.333333333333333e-05, "formula live time": false, "has data been generated": true }, "ui settings": { "node position x": 0.0, "node position y": 0.0, "is node collapsed": false, "show node ui": true, "show node data tables": false, "custom ui settings": {}, "show node help": false, "node current width": 420.0, "node current height": 260.0 } }, { "type": "FilterSignalsNode", "id": 1000003, "old id": 1000003, "title": "Filter", "name": "Band-pass 2.4 to 3.6 kHz", "number of input pins": 1, "number of output pins": 1, "pins": [ { "id": 1000004, "old id": 1000004, "kind": "input", "index": 0, "type": "Pin", "title": "in", "identifier": "input_pin_", "data dimensionality": 2, "is hidden in ui": false, "suppress stop on update": false }, { "id": 1000005, "old id": 1000005, "kind": "output", "index": 0, "type": "Pin", "title": "out", "identifier": "filtered_output_pin_", "data dimensionality": 2, "is hidden in ui": false, "suppress stop on update": false } ], "custom node settings": { "filter type": 6, "moving average number of data points to average": 1, "rsi size of window": 14, "filter direction": 1, "fir coefficients": [], "iir feedforward coefficients": [ 0.06745527388907187, 0.0, -0.13491054777814374, 0.0, 0.06745527388907187 ], "iir feedback coefficients": [ 1.0, -0.0, -1.1429805025399011, 2.7755575615628914e-17, -0.4128015980961887 ] }, "ui settings": { "node position x": 540.0, "node position y": 0.0, "is node collapsed": false, "show node ui": true, "show node data tables": false, "custom ui settings": {}, "show node help": false } }, { "type": "UnaryOperatorNode", "id": 1000006, "old id": 1000006, "title": "Unary Ops", "name": "Rectify (abs)", "number of input pins": 1, "number of output pins": 1, "pins": [ { "id": 1000007, "old id": 1000007, "kind": "input", "index": 0, "type": "Pin", "title": "in", "identifier": "input_pin_", "data dimensionality": 2, "is hidden in ui": false, "suppress stop on update": false }, { "id": 1000008, "old id": 1000008, "kind": "output", "index": 0, "type": "Pin", "title": "out", "identifier": "output_pin_", "data dimensionality": 2, "is hidden in ui": false, "suppress stop on update": false } ], "custom node settings": { "unary operator type": 3, "exponent for power function": 1.0, "min value for clipping": 0.0, "max value for clipping": 1.0, "round decimal place": 0 }, "ui settings": { "node position x": 540.0, "node position y": 320.0, "is node collapsed": false, "show node ui": true, "show node data tables": false, "custom ui settings": {}, "show node help": false } }, { "type": "FilterSignalsNode", "id": 1000009, "old id": 1000009, "title": "Filter", "name": "Envelope low-pass 500 Hz", "number of input pins": 1, "number of output pins": 1, "pins": [ { "id": 1000010, "old id": 1000010, "kind": "input", "index": 0, "type": "Pin", "title": "in", "identifier": 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"link_id": 1000202, "output_pin_id": 1000151, "input_pin_id": 1000154, "is_wireless": false }, { "link_id": 1000203, "output_pin_id": 1000151, "input_pin_id": 1000157, "is_wireless": false }, { "link_id": 1000204, "output_pin_id": 1000096, "input_pin_id": 1000158, "is_wireless": false }, { "link_id": 1000205, "output_pin_id": 1000156, "input_pin_id": 1000162, "is_wireless": false }, { "link_id": 1000206, "output_pin_id": 1000160, "input_pin_id": 1000165, "is_wireless": false } ] }, "execution paused": false, "exposed_actions": [], "exposed_parameters": [ { "name": "alarm_db", "node_id": 1000095, "setting_key": "constant value", "display_name": "Alarm level (dB)" } ] } } }