{"id":100293,"date":"2026-02-15T20:32:15","date_gmt":"2026-02-15T20:32:15","guid":{"rendered":"https:\/\/vibromera.eu\/?post_type=calculator&#038;p=100293"},"modified":"2026-03-05T15:35:13","modified_gmt":"2026-03-05T15:35:13","slug":"vibration-overall-level","status":"publish","type":"calculator","link":"https:\/\/vibromera.eu\/nb\/calculators\/vibration-overall-level\/","title":{"rendered":"Kalkulator for totalt vibrasjonsniv\u00e5 | RMS fra Spectrum"},"content":{"rendered":"\n<script type=\"application\/ld+json\">\n{\"@context\":\"https:\/\/schema.org\",\"@type\":\"WebApplication\",\"name\":\"Overall Vibration Level Calculator\",\"alternateName\":[\"RMS Overall Calculator\",\"Vibration Spectrum Sum Calculator\"],\"description\":\"Free online calculator for overall vibration level from spectral components using root-sum-of-squares (RSS). Supports crest factor calculation.\",\"url\":\"https:\/\/vibromera.eu\/calculators\/vibration-overall-level\/\",\"applicationCategory\":\"Engineering Calculator\",\"operatingSystem\":\"Any (Web Browser)\",\"offers\":{\"@type\":\"Offer\",\"price\":\"0\",\"priceCurrency\":\"EUR\"},\"creator\":{\"@type\":\"Organization\",\"name\":\"Vibromera\",\"url\":\"https:\/\/vibromera.eu\/\"},\"datePublished\":\"2024-01-01\",\"dateModified\":\"2025-02-14\",\"inLanguage\":\"en\",\"isAccessibleForFree\":true,\"featureList\":[\"Up to 10 spectral components\",\"RMS overall level\",\"Crest factor calculation\",\"Peak value input\",\"Auto-calculation\"],\"keywords\":\"overall vibration, RMS, spectrum, crest factor, root sum of squares\"}\n<\/script>\n\n<script type=\"application\/ld+json\">\n{\"@context\":\"https:\/\/schema.org\",\"@type\":\"FAQPage\",\"mainEntity\":[\n{\"@type\":\"Question\",\"name\":\"How is overall vibration level calculated from a spectrum?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"The overall (broadband) vibration level is calculated as the root-sum-of-squares (RSS) of individual spectral components: Overall = \u221a(a\u2081\u00b2 + a\u2082\u00b2 + ... + a\u2099\u00b2). This applies to RMS amplitudes of individual frequency components.\"}},\n{\"@type\":\"Question\",\"name\":\"What is the crest factor?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Crest factor is the ratio of peak value to RMS value. For a pure sine wave, CF = \u221a2 \u2248 1.414. Higher crest factors indicate impulsive events like bearing faults. Normal machinery typically has CF = 2\u20134; CF > 4 may indicate developing faults.\"}},\n{\"@type\":\"Question\",\"name\":\"Should I use peak or RMS amplitudes?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Use RMS amplitudes for overall level calculation. Most vibration analyzers display spectral lines as RMS values. If you have peak values, divide by \u221a2 to convert to RMS before summing.\"}},\n{\"@type\":\"Question\",\"name\":\"Why doesn't the overall level equal the sum of components?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Because vibration components at different frequencies are independent and combine as root-sum-of-squares, not arithmetic sum. The RSS method accounts for the statistical independence of different frequency components.\"}},\n{\"@type\":\"Question\",\"name\":\"What units should I use?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Any consistent unit works \u2014 mm\/s RMS for velocity, g RMS for acceleration, or \u03bcm for displacement. 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root-sum-of-squares. Enter up to 10 amplitude values and optional peak value for crest factor.<\/p>\n    <div class=\"vc-badges\">\n        <span class=\"vc-badge\">RSS Method<\/span>\n        <span class=\"vc-badge\">Crest Factor<\/span>\n        <span class=\"vc-badge\">Up to 10 Components<\/span>\n    <\/div>\n<\/header>\n\n<div class=\"vc-card\">\n    <form class=\"vc-form\" id=\"vc-form\" autocomplete=\"off\">\n        <div class=\"vc-form-grid\">\n            <div class=\"vc-field\">\n                <label class=\"vc-label\" for=\"vc-unit\">Vibration Unit<\/label>\n                <select class=\"vc-select\" id=\"vc-unit\">\n                    <option value=\"mm\/s\" selected>mm\/s RMS (velocity)<\/option>\n                    <option value=\"g\">g RMS (acceleration)<\/option>\n                    <option value=\"\u03bcm\">\u03bcm RMS (displacement)<\/option>\n                    <option value=\"in\/s\">in\/s RMS (velocity)<\/option>\n                <\/select>\n            <\/div>\n            <div class=\"vc-field\">\n                <label class=\"vc-label\" for=\"vc-peak\">Peak Value <span class=\"vc-label-hint\">(optional, for crest factor)<\/span><\/label>\n                <input class=\"vc-input\" type=\"number\" id=\"vc-peak\" inputmode=\"decimal\" step=\"any\" min=\"0\" placeholder=\"e.g. 12.5\">\n            <\/div>\n            <div class=\"vc-field-full\" style=\"grid-column:1\/-1\">\n                <label class=\"vc-label\">Spectral Component Amplitudes <span class=\"vc-label-hint\">(RMS values)<\/span><\/label>\n                <div class=\"vc-amp-grid\" id=\"vc-amp-grid\"><\/div>\n            <\/div>\n        <\/div>\n\n        <div class=\"vc-presets\">\n            <div class=\"vc-presets-label\">Quick presets<\/div>\n            <button type=\"button\" class=\"vc-preset-btn\" data-vals=\"3.2,1.8,0.9,0.4,0.2\" data-pk=\"8.5\" data-u=\"mm\/s\">Pump \u2014 5 components<\/button>\n            <button type=\"button\" class=\"vc-preset-btn\" data-vals=\"5.1,2.3,1.1,0.7,0.5,0.3\" data-pk=\"14\" data-u=\"mm\/s\">Fan \u2014 6 components<\/button>\n            <button type=\"button\" class=\"vc-preset-btn\" data-vals=\"0.8,0.3,0.15,0.08\" data-pk=\"2.1\" data-u=\"g\">Motor \u2014 4 g components<\/button>\n        <\/div>\n    <\/form>\n\n    <div class=\"vc-results\" id=\"vc-results\">\n        <div class=\"vc-results-head\">\n            <h2 class=\"vc-results-title\">Results<\/h2>\n            <button type=\"button\" class=\"vc-copy-btn\" id=\"vc-copy-btn\">\n                <svg width=\"14\" height=\"14\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2\"><rect x=\"9\" y=\"9\" width=\"13\" height=\"13\" rx=\"2\"\/><path d=\"M5 15H4a2 2 0 01-2-2V4a2 2 0 012-2h9a2 2 0 012 2v1\"\/><\/svg>\n                Copy\n            <\/button>\n        <\/div>\n        <div class=\"vc-result-grid\">\n            <div class=\"vc-rcard vc-rcard-primary\">\n                <div class=\"vc-rcard-label\">Overall RMS Level<\/div>\n                <div class=\"vc-rcard-value\" id=\"vc-r-overall\">\u2014<\/div>\n            <\/div>\n            <div class=\"vc-rcard\">\n                <div class=\"vc-rcard-label\">Crest Factor<\/div>\n                <div class=\"vc-rcard-value\" id=\"vc-r-crest\">\u2014<\/div>\n            <\/div>\n            <div class=\"vc-rcard\">\n                <div class=\"vc-rcard-label\">Number of Components<\/div>\n                <div class=\"vc-rcard-value\" id=\"vc-r-count\">\u2014<\/div>\n            <\/div>\n            <div class=\"vc-rcard\">\n                <div class=\"vc-rcard-label\">Dominant Component<\/div>\n                <div class=\"vc-rcard-value\" id=\"vc-r-dominant\">\u2014<\/div>\n            <\/div>\n            <div class=\"vc-rcard\">\n                <div class=\"vc-rcard-label\">Dominant Contribution<\/div>\n                <div class=\"vc-rcard-value\" id=\"vc-r-contrib\">\u2014<\/div>\n            <\/div>\n        <\/div>\n        <div class=\"vc-viz\" id=\"vc-viz\" style=\"text-align:center;margin:16px 0 8px\"><\/div>\n    <\/div>\n<\/div>\n\n<!-- Theory -->\n<div class=\"vc-section vc-open\" id=\"vc-sec-theory\">\n    <button type=\"button\" class=\"vc-section-toggle\" aria-expanded=\"true\">\n        <span class=\"vc-section-toggle-text\"><span class=\"vc-section-icon\">\ud83d\udcd8<\/span><span class=\"vc-section-title\">Theory &amp; Formulas<\/span><\/span>\n        <svg class=\"vc-section-chevron\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2\"><path d=\"M6 9l6 6 6-6\"\/><\/svg>\n    <\/button>\n    <div class=\"vc-section-body\">\n        <div class=\"vc-section-inner vc-theory\">\n            <h3>Root-Sum-of-Squares (RSS)<\/h3>\n            <p>The overall vibration level from independent spectral components is:<\/p>\n            <div class=\"vc-formula-box\" id=\"vc-katex-1\"><\/div>\n            <p>Where a<sub>i<\/sub> are RMS amplitudes of individual spectral components.<\/p>\n\n            <h3>Crest Factor<\/h3>\n            <div class=\"vc-formula-box\" id=\"vc-katex-2\"><\/div>\n            <ul>\n                <li><strong>CF = \u221a2 \u2248 1.414<\/strong> \u2014 Pure sine wave<\/li>\n                <li><strong>CF = 2\u20134<\/strong> \u2014 Normal machinery<\/li>\n                <li><strong>CF &gt; 4<\/strong> \u2014 Impulsive events (bearing defects)<\/li>\n                <li><strong>CF &gt; 6<\/strong> \u2014 Severe impact or looseness<\/li>\n            <\/ul>\n\n            <h3>Practical Example<\/h3>\n            <div class=\"vc-example-box\">\n                <div class=\"vc-example-title\">Example \u2014 Centrifugal Pump<\/div>\n                <p><strong>Spectral components (mm\/s RMS):<\/strong> 3.2, 1.8, 0.9, 0.4, 0.2<\/p>\n                <p>Overall = \u221a(3.2\u00b2 + 1.8\u00b2 + 0.9\u00b2 + 0.4\u00b2 + 0.2\u00b2) = \u221a(10.24 + 3.24 + 0.81 + 0.16 + 0.04)<\/p>\n                <p>Overall = \u221a14.49 = <strong>3.81 mm\/s RMS<\/strong><\/p>\n                <p>If peak = 8.5 mm\/s \u2192 CF = 8.5 \/ 3.81 = <strong>2.23<\/strong> (normal)<\/p>\n            <\/div>\n\n            <div class=\"vc-info-box\">\n                <p><strong>\u2139\ufe0f Note:<\/strong> The dominant component (1\u00d7, usually) typically contributes the most to overall level. If one component is much larger than others, the overall \u2248 that component&#8217;s amplitude.<\/p>\n            <\/div>\n        <\/div>\n    <\/div>\n<\/div>\n\n<!-- Related -->\n<div class=\"vc-section\" id=\"vc-sec-related\">\n    <button type=\"button\" class=\"vc-section-toggle\" aria-expanded=\"false\">\n        <span class=\"vc-section-toggle-text\"><span class=\"vc-section-icon\">\ud83d\udd17<\/span><span class=\"vc-section-title\">Related Calculators<\/span><\/span>\n        <svg class=\"vc-section-chevron\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2\"><path d=\"M6 9l6 6 6-6\"\/><\/svg>\n    <\/button>\n    <div class=\"vc-section-body\">\n        <div class=\"vc-section-inner\">\n            <div class=\"vc-related\">\n                <a class=\"vc-related-link\" href=\"\/calculators\/vibration-transmissibility\/\">Vibration Transmissibility<\/a>\n                <a class=\"vc-related-link\" href=\"\/calculators\/vibration-velocity\/\">Vibration Velocity (ISO 10816)<\/a>\n                <a class=\"vc-related-link\" href=\"\/calculators\/vibration-sensor-sensitivity\/\">Sensor Sensitivity<\/a>\n                <a class=\"vc-related-link\" href=\"\/calculators\/vibration-phase-angle\/\">Phase Angle Calculator<\/a>\n                <a class=\"vc-related-link\" href=\"\/calculators\/condition-monitoring-iso13373\/\">Condition Monitoring (ISO 13373)<\/a>\n            <\/div>\n        <\/div>\n    <\/div>\n<\/div>\n\n<!-- FAQ -->\n<div class=\"vc-section\" id=\"vc-sec-faq\">\n    <button type=\"button\" class=\"vc-section-toggle\" aria-expanded=\"false\">\n        <span class=\"vc-section-toggle-text\"><span class=\"vc-section-icon\">\u2753<\/span><span class=\"vc-section-title\">Frequently Asked Questions<\/span><\/span>\n        <svg class=\"vc-section-chevron\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2\"><path d=\"M6 9l6 6 6-6\"\/><\/svg>\n    <\/button>\n    <div class=\"vc-section-body\">\n        <div class=\"vc-section-inner\"><div class=\"vc-faq-list\" id=\"vc-faq-list\"><\/div><\/div>\n    <\/div>\n<\/div>\n\n<div class=\"vc-promo\">\n    <div class=\"vc-promo-text\"><strong>Vibromera \u2014 Portable Balancing &amp; Vibration Analysis<\/strong><br>Professional vibration analyzers with built-in overall level and spectrum analysis. Used in 50+ countries.<\/div>\n    <a class=\"vc-promo-link\" href=\"https:\/\/vibromera.eu\/\" target=\"_blank\" rel=\"noopener\">Learn More<\/a>\n<\/div>\n\n<footer class=\"vc-footer\">\n    <p>\u00a9 2024\u20132025 <a href=\"https:\/\/vibromera.eu\/\">Vibromera<\/a> \u2014 Engineering Calculators<\/p>\n    <p style=\"font-size:12px;margin-top:4px;\">Overall vibration level from spectrum. Last updated: February 2025<\/p>\n    <div class=\"vc-footer-links\"><a href=\"\/calculators\/engineering-calculators\/\">All Calculators<\/a><a href=\"https:\/\/vibromera.eu\/contacts\/\">Contact<\/a><\/div>\n<\/footer>\n\n<\/div>\n\n<script src=\"https:\/\/cdn.jsdelivr.net\/npm\/katex@0.16.11\/dist\/katex.min.js\"><\/script>\n<script>\n(function(){\n    'use strict';\n    var SLUG='vibration-overall-level';\n    function $(id){return document.getElementById(id)}\n    function fmt(n,d){if(isNaN(n)||!isFinite(n))return '\u2014';var f=n.toFixed(d===undefined?3:d);return f.replace(\/(\\.\\d*?)0+$\/,'$1').replace(\/\\.$\/,'')}\n\n    \/\/ Build 10 amplitude inputs\n    var grid=$('vc-amp-grid');\n    for(var i=1;i<=10;i++){\n        var inp=document.createElement('input');\n        inp.className='vc-input';inp.type='number';inp.inputMode='decimal';inp.step='any';inp.min='0';\n        inp.id='vc-a'+i;inp.placeholder='a'+i;\n        grid.appendChild(inp);\n    }\n\n    function calculate(){\n        var vals=[];var sumSq=0;\n        for(var i=1;i<=10;i++){\n            var v=parseFloat($('vc-a'+i).value);\n            if(v&&v>0){vals.push(v);sumSq+=v*v;}\n        }\n        if(vals.length===0){$('vc-results').classList.remove('vc-visible');return;}\n\n        var overall=Math.sqrt(sumSq);\n        var unit=$('vc-unit').value;\n        var peak=parseFloat($('vc-peak').value);\n        var maxVal=Math.max.apply(null,vals);\n        var contrib=(maxVal*maxVal\/sumSq)*100;\n\n        $('vc-r-overall').innerHTML=fmt(overall,3)+' <span class=\"vc-rcard-unit\">'+unit+'<\/span>';\n        $('vc-r-count').innerHTML=vals.length;\n        $('vc-r-dominant').innerHTML=fmt(maxVal,3)+' <span class=\"vc-rcard-unit\">'+unit+'<\/span>';\n        $('vc-r-contrib').innerHTML=fmt(contrib,1)+' <span class=\"vc-rcard-unit\">%<\/span>';\n\n        if(peak&&peak>0){\n            var cf=peak\/overall;\n            $('vc-r-crest').innerHTML=fmt(cf,2)+(cf>4?' <span style=\"color:var(--vc-red);font-size:12px\">\u26a0 High<\/span>':'');\n        } else {\n            $('vc-r-crest').innerHTML='<span class=\"vc-rcard-unit\">Enter peak value<\/span>';\n        }\n        $('vc-results').classList.add('vc-visible');\n        drawViz(vals,overall,unit);\n        saveHistory({vals:vals.join(','),overall:fmt(overall,3),unit:unit,_summary:vals.length+' comp \u2192 '+fmt(overall,3)+' '+unit});\n    }\n\n    document.querySelectorAll('.vc-preset-btn').forEach(function(btn){\n        btn.addEventListener('click',function(e){\n            e.preventDefault();\n            var v=this.getAttribute('data-vals').split(',');\n            for(var i=1;i<=10;i++) $('vc-a'+i).value=v[i-1]||'';\n            $('vc-peak').value=this.getAttribute('data-pk')||'';\n            $('vc-unit').value=this.getAttribute('data-u')||'mm\/s';\n            calculate();\n        });\n    });\n\n    $('vc-form').addEventListener('input',calculate);\n    $('vc-form').addEventListener('change',calculate);\n\n    $('vc-copy-btn').addEventListener('click',function(){\n        var text='Overall Vibration Level\\n\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\\nOverall RMS: '+$('vc-r-overall').textContent+'\\nCrest Factor: '+$('vc-r-crest').textContent+'\\nComponents: '+$('vc-r-count').textContent+'\\nDominant: '+$('vc-r-dominant').textContent+'\\n\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\\nvibromera.eu\/calculators\/vibration-overall-level\/';\n        if(navigator.clipboard){navigator.clipboard.writeText(text).then(function(){var b=$('vc-copy-btn');b.classList.add('vc-copied');b.innerHTML='<svg width=\"14\" height=\"14\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2\"><polyline points=\"20 6 9 17 4 12\"\/><\/svg> Copied!';setTimeout(function(){b.classList.remove('vc-copied');b.innerHTML='<svg width=\"14\" height=\"14\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2\"><rect x=\"9\" y=\"9\" width=\"13\" height=\"13\" rx=\"2\"\/><path d=\"M5 15H4a2 2 0 01-2-2V4a2 2 0 012-2h9a2 2 0 012 2v1\"\/><\/svg> Copy';},2000);})}\n    });\n\n    document.querySelectorAll('.vc-section-toggle').forEach(function(btn){btn.addEventListener('click',function(){var s=this.closest('.vc-section');s.classList.toggle('vc-open');this.setAttribute('aria-expanded',s.classList.contains('vc-open'))})});\n\n    var faqData=[\n        {q:'How is overall vibration level calculated from a spectrum?',a:'<p>The overall vibration level is calculated as the root-sum-of-squares (RSS) of individual spectral components: Overall = \u221a(a\u2081\u00b2 + a\u2082\u00b2 + ... + a\u2099\u00b2). This applies to RMS amplitudes at each frequency.<\/p>'},\n        {q:'What is the crest factor?',a:'<p>Crest factor is the ratio of peak value to RMS value. For a pure sine wave, CF = \u221a2 \u2248 1.414. Higher values indicate impulsive events. Normal machinery: CF = 2\u20134. CF &gt; 4 may indicate developing bearing faults.<\/p>'},\n        {q:'Should I use peak or RMS amplitudes?',a:'<p>Use RMS amplitudes for overall level calculation. Most analyzers display spectrum as RMS values. If you have peak values, divide by \u221a2 to get RMS before entering them.<\/p>'},\n        {q:'Why doesn\\'t overall equal the sum of components?',a:'<p>Independent frequency components combine as root-sum-of-squares, not arithmetic sum. This reflects their statistical independence \u2014 they don\\'t add coherently.<\/p>'},\n        {q:'What units should I use?',a:'<p>Any consistent unit: mm\/s RMS for velocity, g RMS for acceleration, \u03bcm for displacement. 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