{"id":100055,"date":"2026-02-15T20:09:36","date_gmt":"2026-02-15T20:09:36","guid":{"rendered":"https:\/\/vibromera.eu\/?post_type=calculator&#038;p=100055"},"modified":"2026-07-11T23:03:28","modified_gmt":"2026-07-11T23:03:28","slug":"chain-defect-frequencies","status":"publish","type":"calculator","link":"https:\/\/vibromera.eu\/nl\/calculators\/chain-defect-frequencies\/","title":{"rendered":"Roller-Chain Kinematic Frequencies | No Fault Verdict"},"content":{"rendered":"\r\n<script type=\"application\/ld+json\">{\"@context\":\"https:\/\/schema.org\",\"@type\":\"WebApplication\",\"name\":\"Roller-Chain Ideal Kinematic Frequencies\",\"description\":\"Calculate ideal average shaft, tooth-engagement and chain-loop circulation frequencies from explicit sprocket tooth counts, chain pitches and driver speed without assigning fault diagnoses.\",\"url\":\"https:\/\/vibromera.eu\/calculators\/chain-defect-frequencies\/\",\"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\":\"FAQPage\",\"mainEntity\":[{\"@type\":\"Question\",\"name\":\"Does a peak at a calculated frequency prove a chain defect?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"No. The values are kinematic candidate lines. Diagnosis needs measured spectra and waveforms, speed reference, trends, inspection and operating context.\"}},{\"@type\":\"Question\",\"name\":\"What is the chain-loop circulation frequency?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"It is the ideal tooth-engagement event rate divided by the total number of chain pitches, so one particular link returns to the same reference position once per loop cycle.\"}},{\"@type\":\"Question\",\"name\":\"Does this select a compliant chain drive?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"No. ISO 10823 selection uses operating conditions and ratings, and ISO 606 specifies chain and sprocket characteristics. 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}\r\n\r\n\/* \u2500\u2500 PROMO \u2500\u2500 *\/\r\n.vc-promo { margin-top:24px; padding:20px; background:linear-gradient(135deg, var(--vc-accent-light), var(--vc-surface)); border:1px solid var(--vc-border); border-radius:var(--vc-radius-lg); display:flex; align-items:center; gap:16px; }\r\n.vc-promo-text { flex:1; font-size:14px; color:var(--vc-ink-secondary); }\r\n.vc-promo-text strong { color:var(--vc-ink); }\r\n.vc-promo-link { padding:8px 20px; font-size:13px; font-weight:700; color:#fff; background:var(--vc-accent); border-radius:var(--vc-radius); text-decoration:none; white-space:nowrap; transition:background 0.15s; }\r\n.vc-promo-link:hover { background:var(--vc-accent-hover); }\r\n\r\n\/* \u2500\u2500 FOOTER \u2500\u2500 *\/\r\n.vc-footer { text-align:center; padding:32px 16px; font-size:13px; color:var(--vc-ink-muted); }\r\n.vc-footer a { color:var(--vc-accent); text-decoration:none; }\r\n.vc-footer a:hover { text-decoration:underline; }\r\n.vc-footer-links { margin-top:8px; font-size:12px; }\r\n.vc-footer-links a { margin:0 8px; }\r\n\r\n\/* \u2500\u2500 PRINT \u2500\u2500 *\/\r\n@media print {\r\n    .vc-section-body { max-height:none!important; }\r\n    .vc-faq-a { max-height:none!important; }\r\n    .vc-results { max-height:none!important; padding:24px!important; }\r\n    .vc-copy-btn, .vc-section-chevron, .vc-faq-chevron, .vc-presets, .vc-promo { display:none!important; }\r\n}\r\n<\/style>\r\n<div class=\"vc-calculator\" id=\"vc-chain\"><header class=\"vc-header\"><p class=\"vc-header-eyebrow\">Ideal average-speed arithmetic<\/p><h1 class=\"vc-header-title\">Roller-Chain Kinematic Frequency Calculator<\/h1><p class=\"vc-header-subtitle\">Calculate shaft, tooth-engagement and chain-loop candidate frequencies for an ideal no-slip chain drive. The output locates spectral lines; it does not identify a defect.<\/p><div class=\"vc-badges\"><span class=\"vc-badge\">Exact integer counts<\/span><span class=\"vc-badge\">Average kinematics<\/span><span class=\"vc-badge\">No fault verdict<\/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-z1\">Driver sprocket tooth count Z\u2081<\/label><input class=\"vc-input\" type=\"text\" id=\"vc-z1\" inputmode=\"numeric\"><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-z2\">Driven sprocket tooth count Z\u2082<\/label><input class=\"vc-input\" type=\"text\" id=\"vc-z2\" inputmode=\"numeric\"><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-links\">Total chain pitch count L<\/label><input class=\"vc-input\" type=\"text\" id=\"vc-links\" inputmode=\"numeric\"><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-rpm\">Driver average speed n\u2081 <span class=\"vc-label-hint\">(rpm)<\/span><\/label><input class=\"vc-input\" type=\"text\" id=\"vc-rpm\" 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>Model boundary:<\/strong> tooth counts and chain pitch count must be exact positive integers. The equations assume ideal engagement\/no slip and report mean rates. Chordal action, compliance, backlash, wear, tension variation and speed fluctuation require measurements or a dynamic model.<\/p><\/div><\/form>\r\n<div class=\"vc-results\" id=\"vc-results\"><div class=\"vc-results-head\"><h2 class=\"vc-results-title\">Kinematic candidate lines<\/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\">Tooth-engagement \/ chain-pitch passage rate<\/div><div class=\"vc-rcard-value\" id=\"vc-r-engage\">\u2014<\/div><\/div><div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Chain-loop circulation frequency<\/div><div class=\"vc-rcard-value\" id=\"vc-r-loop\">\u2014<\/div><\/div><div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Driver shaft frequency<\/div><div class=\"vc-rcard-value\" id=\"vc-r-driver\">\u2014<\/div><\/div><div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Driven average speed<\/div><div class=\"vc-rcard-value\" id=\"vc-r-driven\">\u2014<\/div><\/div><div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Driven\/driver speed ratio n\u2082\/n\u2081<\/div><div class=\"vc-rcard-value\" id=\"vc-r-ratio\">\u2014<\/div><\/div><\/div><h3 style=\"font-family:var(--vc-display);font-size:17px;font-weight:700;margin:0 0 10px\">Arithmetic multiples of engagement rate<\/h3><table class=\"vc-table\"><thead><tr><th>Multiple<\/th><th>Frequency<\/th><th>Cycles\/min<\/th><\/tr><\/thead><tbody id=\"vc-multiples\"><\/tbody><\/table><p style=\"margin:0;color:var(--vc-ink-secondary)\">Multiples are frequency markers only; amplitude, sidebands or a matching line are not a diagnosis by themselves.<\/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\">Equations, ISO scope and diagnostic boundary<\/span><\/span><\/button><div class=\"vc-section-body\"><div class=\"vc-section-inner vc-theory\"><h3>Ideal kinematic identities<\/h3><div class=\"vc-formula-box\">f\u2081=n\u2081\/60; &nbsp; f\u2091=Z\u2081f\u2081=Z\u2082f\u2082; &nbsp; n\u2082=n\u2081Z\u2081\/Z\u2082; &nbsp; floop=f\u2091\/L<\/div><p>f\u2091 is the mean rate at which chain pitches engage sprocket teeth. Dividing by the total pitch count gives the mean loop-circulation frequency: one identified link returns to the same reference position once per loop. The formula does not predict vibration amplitude.<\/p><h3>Standards boundary<\/h3><p><a href=\"https:\/\/www.iso.org\/standard\/61232.html\" target=\"_blank\" rel=\"noopener\">ISO 606:2015<\/a> specifies characteristics of short-pitch precision roller\/bush chains and associated sprockets, including dimensions, tolerances, length measurement and strength. It is currently published but under revision. <a href=\"https:\/\/www.iso.org\/standard\/31532.html\" target=\"_blank\" rel=\"noopener\">ISO 10823:2004 with Corrigendum 1:2008<\/a>, confirmed in 2024 and under revision, gives industrial roller-chain drive selection guidance and explicitly notes that loading, environment and maintenance vary and supplier consultation is desirable. Neither official scope turns these candidate frequencies into fault diagnoses.<\/p><p>Tooth-count recommendations are application and product dependent. For example, the <a href=\"https:\/\/www.renold.com\/upload\/renoldswitzerland\/roller_chain_designer_guide.pdf\" target=\"_blank\" rel=\"noopener\">Renold Roller Chain Designer Guide<\/a> recommends 19 teeth as an ideal minimum in its selection method and at least 25 for high speed or impulsive loads. That does not create a universal threshold for all chain drives; use the applicable standard, supplier data and design conditions.<\/p><div class=\"vc-warning-box\"><p style=\"margin:0\"><strong>Diagnostic gate:<\/strong> use a verified speed reference and compare measured spectra, orders, time waveforms, modulation\/sidebands, trends, load and inspection. A calculated line may contain normal engagement energy, structural response, another source or a defect-related modulation. Do not label wear, slack, misalignment, a tight link or severity from frequency coincidence alone.<\/p><\/div><h3>Checked example<\/h3><div class=\"vc-example-box\"><p style=\"margin:0\">Z\u2081=17, Z\u2082=51, L=120, n\u2081=1450 rpm gives f\u2081=24.166667 Hz, f\u2091=410.833333 Hz, floop=3.423611 Hz and n\u2082=483.333333 rpm.<\/p><\/div><\/div><\/div><\/div>\r\n<div class=\"vc-section\"><button type=\"button\" class=\"vc-section-toggle\" aria-expanded=\"false\"><span class=\"vc-section-toggle-text\"><span class=\"vc-section-icon\">\u2753<\/span><span class=\"vc-section-title\">Frequently Asked Questions<\/span><\/span><\/button><div class=\"vc-section-body\"><div class=\"vc-section-inner\"><div class=\"vc-faq-list\" id=\"vc-faq-list\"><\/div><\/div><\/div><\/div><footer class=\"vc-footer\"><p>\u00a9 2024\u20132026 <a href=\"https:\/\/vibromera.eu\/\">Vibromera<\/a><\/p><p>Ideal kinematic markers only; not chain selection or condition diagnosis. Scientific review: July 2026.<\/p><\/footer><\/div>\r\n<script>(function(){'use strict';function $(i){return document.getElementById(i)}function integer(raw){var s=String(raw).trim();if(!\/^\\+?\\d+$\/.test(s))return NaN;var n=Number(s);return Number.isSafeInteger(n)&&n>0?n:NaN}function speed(raw){var s=String(raw).trim().replace(\/\\s+\/g,'');if(!\/^[+]?(?:\\d+(?:[.,]\\d*)?|[.,]\\d+)$\/.test(s))return NaN;var n=Number(s.replace(',','.'));return Number.isFinite(n)&&n>=0?n:NaN}function f(n){if(Math.abs(n)<5e-13)n=0;return n.toFixed(9).replace(\/(\\.\\d*?)0+$\/,'$1').replace(\/\\.$\/,'')}function calc(){var z1=integer($('vc-z1').value),z2=integer($('vc-z2').value),L=integer($('vc-links').value),n1=speed($('vc-rpm').value);if(![z1,z2,L,n1].every(Number.isFinite)){$('vc-error').textContent=[$('vc-z1').value,$('vc-z2').value,$('vc-links').value,$('vc-rpm').value].some(function(x){return x.trim()})?'Tooth and pitch counts must be positive safe integers; speed must be finite and non-negative.':'';$('vc-results').classList.remove('vc-visible');return}$('vc-error').textContent='';var f1=n1\/60,fe=z1*f1,n2=n1*z1\/z2,floop=fe\/L;if(![f1,fe,n2,floop].every(Number.isFinite)){$('vc-error').textContent='The values exceed the finite calculation range.';$('vc-results').classList.remove('vc-visible');return}$('vc-r-engage').innerHTML=f(fe)+' <span class=\"vc-rcard-unit\">Hz<\/span>';$('vc-r-loop').innerHTML=f(floop)+' <span class=\"vc-rcard-unit\">Hz<\/span>';$('vc-r-driver').innerHTML=f(f1)+' <span class=\"vc-rcard-unit\">Hz<\/span>';$('vc-r-driven').innerHTML=f(n2)+' <span class=\"vc-rcard-unit\">rpm<\/span>';$('vc-r-ratio').textContent=f(z1\/z2);var b='';for(var i=1;i<=4;i++)b+='<tr><td>'+i+'\u00d7 f\u2091<\/td><td>'+f(fe*i)+' Hz<\/td><td>'+f(fe*i*60)+'<\/td><\/tr>';$('vc-multiples').innerHTML=b;$('vc-results').classList.add('vc-visible');var u=new URL(location);u.searchParams.set('driver_teeth',z1);u.searchParams.set('driven_teeth',z2);u.searchParams.set('chain_pitch_count',L);u.searchParams.set('driver_speed_rpm',n1);history.replaceState(null,'',u.toString())}$('vc-form').addEventListener('input',calc);$('vc-form').addEventListener('change',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 q=[['Does a matching peak prove a chain defect?','No. These are candidate kinematic lines. Use speed-referenced measurements, trends, waveforms, modulation evidence and inspection.'],['Why divide engagement rate by chain pitch count?','That gives the ideal loop-circulation rate, so one identified link returns to the same reference position once per loop.'],['Does this select tooth counts or chain size?','No. Use ISO 10823, ISO 606, supplier ratings and the actual power, load, speed, environment, lubrication and maintenance conditions.']];var l=$('vc-faq-list');q.forEach(function(v){l.innerHTML+='<div class=\"vc-faq-item\"><button type=\"button\" class=\"vc-faq-q\">'+v[0]+'<\/button><div class=\"vc-faq-a\"><div class=\"vc-faq-a-inner\"><p>'+v[1]+'<\/p><\/div><\/div><\/div>'});l.addEventListener('click',function(e){var b=e.target.closest('.vc-faq-q');if(b)b.closest('.vc-faq-item').classList.toggle('vc-open')});var z=new URLSearchParams(location.search),map={driver_teeth:'vc-z1',driven_teeth:'vc-z2',chain_pitch_count:'vc-links',driver_speed_rpm:'vc-rpm'};Object.keys(map).forEach(function(k){if(z.has(k))$(map[k]).value=z.get(k)});calc()})();<\/script>\r\n","protected":false},"excerpt":{"rendered":"<p>Calculate ideal average shaft, tooth-engagement and chain-loop frequencies from exact counts and driver speed; candidate spectral lines only, not a defect diagnosis.<\/p>","protected":false},"featured_media":0,"template":"","meta":{"ai_generated_summary":"","footnotes":""},"categories":[],"tags":[],"class_list":["post-100055","calculator","type-calculator","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/vibromera.eu\/nl\/wp-json\/wp\/v2\/calculator\/100055","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vibromera.eu\/nl\/wp-json\/wp\/v2\/calculator"}],"about":[{"href":"https:\/\/vibromera.eu\/nl\/wp-json\/wp\/v2\/types\/calculator"}],"version-history":[{"count":2,"href":"https:\/\/vibromera.eu\/nl\/wp-json\/wp\/v2\/calculator\/100055\/revisions"}],"predecessor-version":[{"id":102345,"href":"https:\/\/vibromera.eu\/nl\/wp-json\/wp\/v2\/calculator\/100055\/revisions\/102345"}],"wp:attachment":[{"href":"https:\/\/vibromera.eu\/nl\/wp-json\/wp\/v2\/media?parent=100055"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vibromera.eu\/nl\/wp-json\/wp\/v2\/categories?post=100055"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vibromera.eu\/nl\/wp-json\/wp\/v2\/tags?post=100055"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}