{"id":100147,"date":"2026-02-15T20:21:02","date_gmt":"2026-02-15T20:21:02","guid":{"rendered":"https:\/\/vibromera.eu\/?post_type=calculator&#038;p=100147"},"modified":"2026-07-12T18:52:32","modified_gmt":"2026-07-12T18:52:32","slug":"machine-vibration-isolation","status":"publish","type":"calculator","link":"https:\/\/vibromera.eu\/vi\/calculators\/machine-vibration-isolation\/","title":{"rendered":"C\u00f4ng c\u1ee5 t\u00ednh to\u00e1n c\u00e1ch ly rung \u0111\u1ed9ng m\u00e1y m\u00f3c | C\u00f4ng c\u1ee5 mi\u1ec5n ph\u00ed #067"},"content":{"rendered":"\n<script type=\"application\/ld+json\">\n{\"@context\":\"https:\/\/schema.org\",\"@type\":\"WebApplication\",\"name\":\"Machine Vibration Isolation Calculator\",\"description\":\"Complete machine vibration isolation design.\",\"url\":\"https:\/\/vibromera.eu\/calculators\/machine-vibration-isolation\/\",\"applicationCategory\":\"Engineering Calculator\",\"offers\":{\"@type\":\"Offer\",\"price\":\"0\",\"priceCurrency\":\"EUR\"},\"creator\":{\"@type\":\"Organization\",\"name\":\"Vibromera\"},\"datePublished\":\"2024-01-01\",\"dateModified\":\"2025-02-14\",\"inLanguage\":\"en\",\"isAccessibleForFree\":true}\n<\/script>\n\n<script type=\"application\/ld+json\">\n{\"@context\":\"https:\/\/schema.org\",\"@type\":\"FAQPage\",\"mainEntity\":[\n{\"@type\":\"Question\",\"name\":\"What is transmissibility?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Transmissibility T is the ratio of transmitted to exciting force. T less than 1 means isolation occurs. For undamped systems T=1\/(r squared minus 1) where r=f\/fn.\"}},\n{\"@type\":\"Question\",\"name\":\"How to determine unbalance force?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"F = mu times e times omega squared, where mu times e is unbalance in kg m and omega is angular velocity in rad\/s.\"}},\n{\"@type\":\"Question\",\"name\":\"What transmissibility to target?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"T=0.10 (90 percent) for general machinery, T=0.05 (95 percent) for sensitive equipment, T=0.20 (80 percent) for non-critical.\"}},\n{\"@type\":\"Question\",\"name\":\"Why force increases at resonance?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"At resonance r approximately 1, amplification equals 1\/(2 zeta). Damping limits peak but reduces high-frequency isolation.\"}},\n{\"@type\":\"Question\",\"name\":\"How to handle uneven weight distribution?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Distribute mount stiffness proportionally to CG location using the lever rule for asymmetric machines.\"}}\n]}\n<\/script>\n\n<script type=\"application\/ld+json\">\n{\"@context\":\"https:\/\/schema.org\",\"@type\":\"BreadcrumbList\",\"itemListElement\":[\n{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/vibromera.eu\/\"},\n{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Calculators\",\"item\":\"https:\/\/vibromera.eu\/calculators\/\"},\n{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Machine Vibration Isolation\",\"item\":\"https:\/\/vibromera.eu\/calculators\/machine-vibration-isolation\/\"}\n]}\n<\/script>\n\n<link rel=\"preconnect\" href=\"https:\/\/fonts.googleapis.com\">\n\n<link rel=\"preconnect\" href=\"https:\/\/fonts.gstatic.com\" crossorigin>\n\n<link 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print{.vc-section-body{max-height:none!important}.vc-results{max-height:none!important;padding:24px!important}.vc-copy-btn,.vc-presets,.vc-promo{display:none!important}}\n<\/style>\n\n<div class=\"vc-calculator\">\n<header class=\"vc-header\">\n<p class=\"vc-header-eyebrow\">Free Engineering Tool #067<\/p>\n<h1 class=\"vc-header-title\">Machine Vibration Isolation Calculator<\/h1>\n<p class=\"vc-header-subtitle\">Complete isolation design. Enter machine mass, speed, unbalance force, number of mounts, and target transmissibility.<\/p>\n<div class=\"vc-badges\"><span class=\"vc-badge\">Transmissibility<\/span><span class=\"vc-badge\">Force Isolation<\/span><span class=\"vc-badge\">Auto-Calc<\/span><\/div>\n<\/header>\n\n<div class=\"vc-card\">\n<div class=\"vc-unit-bar\">\n<button type=\"button\" class=\"vc-unit-btn vc-active\" data-system=\"metric\">Metric (kg, N, mm)<\/button>\n<button type=\"button\" class=\"vc-unit-btn\" data-system=\"imperial\">Imperial (lb, lbf, in)<\/button>\n<\/div>\n<form class=\"vc-form\" id=\"vc-form\" autocomplete=\"off\">\n<div class=\"vc-form-grid\">\n<div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-mass\">Machine Mass <span class=\"vc-label-hint\" id=\"vc-mu\">(kg)<\/span><\/label><input class=\"vc-input\" type=\"number\" id=\"vc-mass\" step=\"any\" min=\"0.1\" value=\"800\"><\/div>\n<div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-rpm\">Operating Speed <span class=\"vc-label-hint\">(RPM)<\/span><\/label><input class=\"vc-input\" type=\"number\" id=\"vc-rpm\" step=\"any\" min=\"1\" value=\"1500\"><\/div>\n<div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-force\">Unbalance Force <span class=\"vc-label-hint\" id=\"vc-fu\">(N)<\/span><\/label><input class=\"vc-input\" type=\"number\" id=\"vc-force\" step=\"any\" min=\"0\" value=\"500\"><\/div>\n<div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-nm\">Mounts<\/label><select class=\"vc-select\" id=\"vc-nm\"><option value=\"3\">3<\/option><option value=\"4\" selected>4<\/option><option value=\"6\">6<\/option><option value=\"8\">8<\/option><\/select><\/div>\n<div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-tgt\">Target T<\/label><select class=\"vc-select\" id=\"vc-tgt\"><option value=\"0.20\">0.20 (80%)<\/option><option value=\"0.10\" selected>0.10 (90%)<\/option><option value=\"0.05\">0.05 (95%)<\/option><option value=\"0.03\">0.03 (97%)<\/option><option value=\"0.01\">0.01 (99%)<\/option><\/select><\/div>\n<\/div>\n<div class=\"vc-presets\"><div class=\"vc-presets-label\">Quick presets<\/div>\n<button type=\"button\" class=\"vc-preset-btn\" data-m=\"800\" data-r=\"1500\" data-f=\"500\" data-n=\"4\" data-t=\"0.10\">Pump 800kg 1500RPM<\/button>\n<button type=\"button\" class=\"vc-preset-btn\" data-m=\"300\" data-r=\"3000\" data-f=\"200\" data-n=\"4\" data-t=\"0.05\">Motor 300kg 3000RPM<\/button>\n<button type=\"button\" class=\"vc-preset-btn\" data-m=\"2000\" data-r=\"750\" data-f=\"1200\" data-n=\"6\" data-t=\"0.10\">Gen 2t 750RPM<\/button>\n<\/div>\n<\/form>\n<div class=\"vc-results\" id=\"vc-results\">\n<div class=\"vc-results-head\"><h2 class=\"vc-results-title\">Results<\/h2><button type=\"button\" class=\"vc-copy-btn\" id=\"vc-copy-btn\">Copy<\/button><\/div>\n<div class=\"vc-result-grid\">\n<div class=\"vc-rcard vc-rcard-primary\"><div class=\"vc-rcard-label\">Transmitted Force<\/div><div class=\"vc-rcard-value\" id=\"vc-r-ft\">&#8211;<\/div><\/div>\n<div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Total Stiffness<\/div><div class=\"vc-rcard-value\" id=\"vc-r-kt\">&#8211;<\/div><\/div>\n<div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Per Mount<\/div><div class=\"vc-rcard-value\" id=\"vc-r-km\">&#8211;<\/div><\/div>\n<div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Natural Frequency<\/div><div class=\"vc-rcard-value\" id=\"vc-r-fn\">&#8211;<\/div><\/div>\n<div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Static Deflection<\/div><div class=\"vc-rcard-value\" id=\"vc-r-ds\">&#8211;<\/div><\/div>\n<div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Freq Ratio r<\/div><div class=\"vc-rcard-value\" id=\"vc-r-rr\">&#8211;<\/div><\/div>\n<\/div>\n<\/div>\n<\/div>\n\n<div class=\"vc-section vc-open\">\n<button type=\"button\" class=\"vc-section-toggle\" aria-expanded=\"true\"><span class=\"vc-section-toggle-text\"><span class=\"vc-section-icon\">&#x1F4D8;<\/span><span class=\"vc-section-title\">Theory<\/span><\/span><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><\/button>\n<div class=\"vc-section-body\"><div class=\"vc-section-inner vc-theory\">\n<h3>Transmissibility (undamped)<\/h3><div class=\"vc-formula-box\" id=\"vc-katex-1\"><\/div>\n<h3>Required Natural Frequency<\/h3><div class=\"vc-formula-box\" id=\"vc-katex-2\"><\/div>\n<h3>Stiffness and Deflection<\/h3><div class=\"vc-formula-box\" id=\"vc-katex-3\"><\/div>\n<h3>Transmitted Force<\/h3><div class=\"vc-formula-box\" id=\"vc-katex-4\"><\/div>\n<div class=\"vc-example-box\"><div class=\"vc-example-title\">Example &#8211; Pump 800 kg at 1500 RPM<\/div>\n<p>Given: m=800 kg, 1500 RPM (25 Hz), F0=500 N, T=0.10, 4 mounts<\/p>\n<p>r = sqrt(1\/0.10 + 1) = 3.317, fn = 25\/3.317 = 7.54 Hz<\/p>\n<p>k = 800 x (2pi x 7.54)^2 = 1795 kN\/m = 449 N\/mm per mount<\/p>\n<p>delta = 4.37 mm, Ftrans = 50 N<\/p><\/div>\n<div class=\"vc-warning-box\"><p style=\"margin:0;font-size:14px;color:var(--vc-ink-secondary)\">Machine passes through resonance during startup. Ensure adequate mount damping for transient amplification.<\/p><\/div>\n<\/div><\/div>\n<\/div>\n\n<div class=\"vc-section\">\n<button type=\"button\" class=\"vc-section-toggle\" aria-expanded=\"false\"><span class=\"vc-section-toggle-text\"><span class=\"vc-section-icon\">&#x1F517;<\/span><span class=\"vc-section-title\">Related<\/span><\/span><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><\/button>\n<div class=\"vc-section-body\"><div class=\"vc-section-inner\"><div class=\"vc-related\">\n<a class=\"vc-related-link\" href=\"\/calculators\/vibration-mount-selection\/\">Vibration Mount Selection<\/a>\n<a class=\"vc-related-link\" href=\"\/calculators\/rubber-mount-calculator\/\">Rubber Mount Calculator<\/a>\n<a class=\"vc-related-link\" href=\"\/calculators\/damping-ratio-calculator\/\">Damping Ratio<\/a>\n<a class=\"vc-related-link\" href=\"\/calculators\/residual-unbalance-iso1940\/\">Residual Unbalance<\/a>\n<\/div><\/div><\/div>\n<\/div>\n\n<div class=\"vc-section\">\n<button type=\"button\" class=\"vc-section-toggle\" aria-expanded=\"false\"><span class=\"vc-section-toggle-text\"><span class=\"vc-section-icon\">&#x2753;<\/span><span class=\"vc-section-title\">FAQ<\/span><\/span><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><\/button>\n<div class=\"vc-section-body\"><div class=\"vc-section-inner\"><div class=\"vc-faq-list\" id=\"vc-faq-list\"><\/div><\/div><\/div>\n<\/div>\n\n<div class=\"vc-promo\"><div class=\"vc-promo-text\"><strong>Vibromera<\/strong> &#8211; Portable Balancing and Vibration Analysis. 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T less than 1 means isolation. T=1\/(r squared minus 1) where r=f\/fn. Isolation starts at r greater than sqrt(2).<\/p>'},\n{q:'How to determine unbalance force?',a:'<p>F = mu x e x omega squared. Use ISO 21940-11 calculator for permissible values.<\/p>'},\n{q:'What transmissibility to target?',a:'<p>0.10 (90%) general machinery, 0.05 (95%) sensitive, 0.20 (80%) non-critical.<\/p>'},\n{q:'Why force increases at resonance?',a:'<p>At r near 1, amplification = 1\/(2 zeta). 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