{"id":100066,"date":"2026-02-15T20:14:41","date_gmt":"2026-02-15T20:14:41","guid":{"rendered":"https:\/\/vibromera.eu\/?post_type=calculator&#038;p=100066"},"modified":"2026-07-12T00:07:50","modified_gmt":"2026-07-12T00:07:50","slug":"correction-mass-decomposition","status":"publish","type":"calculator","link":"https:\/\/vibromera.eu\/hi\/calculators\/correction-mass-decomposition\/","title":{"rendered":"Correction-Unbalance Decomposition | Two Equivalent Planes"},"content":{"rendered":"\r\n<script type=\"application\/ld+json\">{\"@context\":\"https:\/\/schema.org\",\"@type\":\"WebApplication\",\"name\":\"Equivalent Static Correction-Unbalance Decomposition\",\"description\":\"Resolve a supplied add-mass correction-unbalance vector located at the CG between two correction planes into statically equivalent plane vectors and masses.\",\"url\":\"https:\/\/vibromera.eu\/calculators\/correction-mass-decomposition\/\",\"applicationCategory\":\"Engineering Calculator\",\"operatingSystem\":\"Any\",\"offers\":{\"@type\":\"Offer\",\"price\":\"0\",\"priceCurrency\":\"EUR\"},\"creator\":{\"@type\":\"Organization\",\"name\":\"Vibromera\",\"url\":\"https:\/\/vibromera.eu\/\"},\"dateModified\":\"2026-07-12\",\"inLanguage\":\"en\",\"isAccessibleForFree\":true}<\/script>\r\n<script type=\"application\/ld+json\">{\"@context\":\"https:\/\/schema.org\",\"@type\":\"BreadcrumbList\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/vibromera.eu\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Calculators\",\"item\":\"https:\/\/vibromera.eu\/calculators\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Static Correction-Unbalance Decomposition\",\"item\":\"https:\/\/vibromera.eu\/calculators\/correction-mass-decomposition\/\"}]}<\/script>\r\n<link rel=\"preconnect\" href=\"https:\/\/fonts.googleapis.com\">\r\n<style>\r\n:root {\r\n    --vc-bg: #f4f1ec;\r\n    --vc-surface: #ffffff;\r\n    --vc-surface-alt: #f8f6f2;\r\n    --vc-ink: #1a1a1a;\r\n    --vc-ink-secondary: #5a5650;\r\n    --vc-ink-muted: #8a857e;\r\n    --vc-accent: #c85a2a;\r\n    --vc-accent-hover: #b04d22;\r\n    --vc-accent-light: #fdf0ea;\r\n    --vc-blue: #2a5c8c;\r\n    --vc-blue-light: #eaf1f8;\r\n    --vc-green: #2a7a4b;\r\n    --vc-green-light: #eaf8ef;\r\n    --vc-yellow: #a67c00;\r\n    --vc-yellow-light: #fef9e8;\r\n    --vc-red: #b91c1c;\r\n    --vc-red-light: #fef2f2;\r\n    --vc-border: #d9d4cc;\r\n    --vc-border-light: #e8e4dd;\r\n    --vc-shadow: 0 1px 3px rgba(26,26,26,0.06), 0 4px 12px rgba(26,26,26,0.04);\r\n    --vc-shadow-lg: 0 4px 12px rgba(26,26,26,0.08), 0 16px 40px rgba(26,26,26,0.06);\r\n    --vc-radius: 8px;\r\n    --vc-radius-lg: 12px;\r\n    --vc-font: 'DM Sans', -apple-system, BlinkMacSystemFont, 'Segoe UI', sans-serif;\r\n    --vc-mono: 'JetBrains Mono', 'Consolas', 'Monaco', monospace;\r\n    --vc-display: 'Fraunces', Georgia, serif;\r\n}\r\n\r\n.vc-calculator {\r\n    font-family: var(--vc-font);\r\n    font-size: 15px;\r\n    line-height: 1.65;\r\n    color: var(--vc-ink);\r\n    max-width: 960px;\r\n    margin: 0 auto;\r\n    padding: 20px 16px 40px;\r\n    -webkit-font-smoothing: antialiased;\r\n}\r\n.vc-calculator *, .vc-calculator *::before, .vc-calculator *::after { box-sizing: border-box; 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}\r\n}\r\n<\/style>\r\n<div class=\"vc-calculator\" id=\"vc-decomp\"><header class=\"vc-header\"><p class=\"vc-header-eyebrow\">Statically equivalent vector distribution<\/p><h1 class=\"vc-header-title\">Correction-Unbalance Decomposition<\/h1><p class=\"vc-header-subtitle\">Distribute one supplied add-mass correction-unbalance vector at the CG between two planes while conserving the resultant vector and its axial first moment.<\/p><div class=\"vc-badges\"><span class=\"vc-badge\">Input U in g\u00b7mm<\/span><span class=\"vc-badge\">Known plane radii<\/span><span class=\"vc-badge\">Static component only<\/span><\/div><\/header>\r\n<div class=\"vc-card\"><form class=\"vc-form\" id=\"vc-form\" autocomplete=\"off\"><div class=\"vc-form-grid\"><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-U\">Required correction unbalance U <span class=\"vc-label-hint\">(g\u00b7mm; \u22650)<\/span><\/label><input class=\"vc-input\" type=\"text\" id=\"vc-U\" inputmode=\"decimal\"><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-angle\">Add-mass correction angle \u03b8 <span class=\"vc-label-hint\">(degrees)<\/span><\/label><input class=\"vc-input\" type=\"text\" id=\"vc-angle\" inputmode=\"decimal\"><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-l1\">Distance CG to plane 1, L\u2081 <span class=\"vc-label-hint\">(mm; \u22650)<\/span><\/label><input class=\"vc-input\" type=\"text\" id=\"vc-l1\" inputmode=\"decimal\"><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-l2\">Distance CG to plane 2, L\u2082 <span class=\"vc-label-hint\">(mm; \u22650)<\/span><\/label><input class=\"vc-input\" type=\"text\" id=\"vc-l2\" inputmode=\"decimal\"><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-r1\">Correction radius R\u2081 <span class=\"vc-label-hint\">(mm)<\/span><\/label><input class=\"vc-input\" type=\"text\" id=\"vc-r1\" inputmode=\"decimal\"><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-r2\">Correction radius R\u2082 <span class=\"vc-label-hint\">(mm)<\/span><\/label><input class=\"vc-input\" type=\"text\" id=\"vc-r2\" inputmode=\"decimal\"><\/div><\/div><p id=\"vc-error\" role=\"alert\" style=\"margin:.75rem 0 0;color:#b42318\"><\/p><div class=\"vc-warning-box\"><p style=\"margin:0\"><strong>Applicability:<\/strong> the supplied vector is an add-mass correction vector acting at the CG, which lies between the two planes. Both output vectors therefore use the same angle. This does not derive a dynamic two-plane correction from vibration data and does not represent a couple component or a CG outside the planes.<\/p><\/div><\/form>\r\n<div class=\"vc-results\" id=\"vc-results\"><div class=\"vc-results-head\"><h2 class=\"vc-results-title\">Equivalent plane corrections<\/h2><button type=\"button\" class=\"vc-copy-btn\" id=\"vc-copy-btn\">Copy<\/button><\/div><div class=\"vc-result-grid\"><div class=\"vc-rcard vc-rcard-primary\"><div class=\"vc-rcard-label\">Plane 1 correction<\/div><div class=\"vc-rcard-value\" id=\"vc-r-p1\">\u2014<\/div><\/div><div class=\"vc-rcard vc-rcard-primary\"><div class=\"vc-rcard-label\">Plane 2 correction<\/div><div class=\"vc-rcard-value\" id=\"vc-r-p2\">\u2014<\/div><\/div><div class=\"vc-rcard\"><div class=\"vc-rcard-label\">U\u2081<\/div><div class=\"vc-rcard-value\" id=\"vc-r-u1\">\u2014<\/div><\/div><div class=\"vc-rcard\"><div class=\"vc-rcard-label\">U\u2082<\/div><div class=\"vc-rcard-value\" id=\"vc-r-u2\">\u2014<\/div><\/div><div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Resultant check U\u2081+U\u2082<\/div><div class=\"vc-rcard-value\" id=\"vc-r-sum\">\u2014<\/div><\/div><div class=\"vc-rcard\"><div class=\"vc-rcard-label\">CG moment residual \u2212U\u2081L\u2081+U\u2082L\u2082<\/div><div class=\"vc-rcard-value\" id=\"vc-r-moment\">\u2014<\/div><\/div><\/div><p id=\"vc-r-note\" style=\"margin:0;color:var(--vc-ink-secondary)\"><\/p><\/div><\/div>\r\n<div class=\"vc-section vc-open\"><button type=\"button\" class=\"vc-section-toggle\" aria-expanded=\"true\"><span class=\"vc-section-toggle-text\"><span class=\"vc-section-icon\">\ud83d\udcd8<\/span><span class=\"vc-section-title\">Derivation and standards boundary<\/span><\/span><\/button><div class=\"vc-section-body\"><div class=\"vc-section-inner vc-theory\"><div class=\"vc-formula-box\">U\u2081+U\u2082=U; &nbsp; \u2212U\u2081L\u2081+U\u2082L\u2082=0<\/div><div class=\"vc-formula-box\">U\u2081=U L\u2082\/(L\u2081+L\u2082); &nbsp; U\u2082=U L\u2081\/(L\u2081+L\u2082)<\/div><div class=\"vc-formula-box\">m\u2081=U\u2081\/R\u2081; &nbsp; m\u2082=U\u2082\/R\u2082<\/div><p>The first two equations conserve the correction-unbalance resultant and the axial first moment about the CG. Dividing g\u00b7mm by mm gives correction mass in grams. The angle is normalized to [0\u00b0,360\u00b0).<\/p><p>These equilibrium equations are general mechanics, not a formula claimed from ISO. <a href=\"https:\/\/www.iso.org\/standard\/54074.html\" target=\"_blank\" rel=\"noopener\">ISO 21940-11:2016<\/a> with <a href=\"https:\/\/www.iso.org\/standard\/78116.html\" target=\"_blank\" rel=\"noopener\">Amd 1:2022<\/a> addresses procedures\/tolerances for rotors with rigid behaviour, including correction-plane requirements and tolerance allocation; flexible rotors are excluded. <a href=\"https:\/\/www.iso.org\/standard\/56561.html\" target=\"_blank\" rel=\"noopener\">ISO 21940-13:2012<\/a> addresses criteria\/safeguards for in-situ balancing and explicitly does not provide methods for calculating correction masses from vibration data.<\/p><div class=\"vc-warning-box\"><p style=\"margin:0\"><strong>Do not substitute this split for influence-coefficient balancing:<\/strong> measured bearing response, cross-effect, rotor flexibility and couple unbalance require the appropriate one-\/two-plane balancing procedure and safe trial-weight practice.<\/p><\/div><\/div><\/div><\/div><footer class=\"vc-footer\"><p>\u00a9 2024\u20132026 <a href=\"https:\/\/vibromera.eu\/\">Vibromera<\/a><\/p><p>Equivalent static-vector distribution only. Scientific review: July 2026.<\/p><\/footer><\/div>\r\n<script>(function(){'use strict';function $(i){return document.getElementById(i)}function n(v,zero){var s=String(v).trim().replace(\/\\s+\/g,'');if(!\/^[+-]?(?:\\d+(?:[.,]\\d*)?|[.,]\\d+)$\/.test(s))return NaN;var x=Number(s.replace(',','.'));return Number.isFinite(x)&&(zero?x>=0:x>0)?x:NaN}function f(x){return x.toFixed(9).replace(\/(\\.\\d*?)0+$\/,'$1').replace(\/\\.$\/,'')}function calc(){var U=n($('vc-U').value,true),a=n($('vc-angle').value,true),L1=n($('vc-l1').value,true),L2=n($('vc-l2').value,true),R1=n($('vc-r1').value,false),R2=n($('vc-r2').value,false),any=Array.from(document.querySelectorAll('#vc-form input')).some(function(x){return x.value.trim()});if(![U,a,L1,L2,R1,R2].every(Number.isFinite)||L1+L2<=0){$('vc-error').textContent=any?'Enter U,L\u2081,L\u2082\u22650; finite angle; R\u2081,R\u2082>0; and L\u2081+L\u2082>0.':'';$('vc-results').classList.remove('vc-visible');return}var an=((a%360)+360)%360,L=L1+L2,U1=U*L2\/L,U2=U*L1\/L,m1=U1\/R1,m2=U2\/R2,moment=-U1*L1+U2*L2;$('vc-error').textContent='';$('vc-r-p1').textContent=f(m1)+' g at '+f(an)+'\u00b0';$('vc-r-p2').textContent=f(m2)+' g at '+f(an)+'\u00b0';$('vc-r-u1').textContent=f(U1)+' g\u00b7mm';$('vc-r-u2').textContent=f(U2)+' g\u00b7mm';$('vc-r-sum').textContent=f(U1+U2)+' g\u00b7mm';$('vc-r-moment').textContent=f(moment)+' g\u00b7mm\u00b2';$('vc-r-note').textContent='Input is an add-mass correction vector; if starting from a measured unbalance vector, establish the correction phase convention first.';$('vc-results').classList.add('vc-visible');var u=new URL(location),v={correction_unbalance_g_mm:U,add_mass_angle_deg:a,cg_to_plane1_mm:L1,cg_to_plane2_mm:L2,plane1_radius_mm:R1,plane2_radius_mm:R2};Object.keys(v).forEach(function(k){u.searchParams.set(k,v[k])});history.replaceState(null,'',u.toString())}$('vc-form').addEventListener('input',calc);$('vc-copy-btn').addEventListener('click',function(){if(navigator.clipboard)navigator.clipboard.writeText($('vc-results').innerText)});document.querySelectorAll('.vc-section-toggle').forEach(function(b){b.addEventListener('click',function(){var s=this.closest('.vc-section');s.classList.toggle('vc-open');this.setAttribute('aria-expanded',s.classList.contains('vc-open'))})});var p=new URLSearchParams(location.search),map={correction_unbalance_g_mm:'vc-U',add_mass_angle_deg:'vc-angle',cg_to_plane1_mm:'vc-l1',cg_to_plane2_mm:'vc-l2',plane1_radius_mm:'vc-r1',plane2_radius_mm:'vc-r2'};Object.keys(map).forEach(function(k){if(p.has(k))$(map[k]).value=p.get(k)});calc()})();<\/script>\r\n","protected":false},"excerpt":{"rendered":"<p>Resolve a supplied add-mass correction-unbalance vector at the CG into two statically equivalent plane vectors and masses while conserving resultant and axial moment.<\/p>","protected":false},"featured_media":0,"template":"","meta":{"ai_generated_summary":"","footnotes":""},"categories":[],"tags":[],"class_list":["post-100066","calculator","type-calculator","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/vibromera.eu\/hi\/wp-json\/wp\/v2\/calculator\/100066","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vibromera.eu\/hi\/wp-json\/wp\/v2\/calculator"}],"about":[{"href":"https:\/\/vibromera.eu\/hi\/wp-json\/wp\/v2\/types\/calculator"}],"version-history":[{"count":2,"href":"https:\/\/vibromera.eu\/hi\/wp-json\/wp\/v2\/calculator\/100066\/revisions"}],"predecessor-version":[{"id":102356,"href":"https:\/\/vibromera.eu\/hi\/wp-json\/wp\/v2\/calculator\/100066\/revisions\/102356"}],"wp:attachment":[{"href":"https:\/\/vibromera.eu\/hi\/wp-json\/wp\/v2\/media?parent=100066"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vibromera.eu\/hi\/wp-json\/wp\/v2\/categories?post=100066"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vibromera.eu\/hi\/wp-json\/wp\/v2\/tags?post=100066"}],"curies":[{"name":"\u0921\u092c\u094d\u0932\u094d\u092f\u0942\u092a\u0940","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}