{"id":15903,"date":"2025-05-20T03:24:16","date_gmt":"2025-05-20T03:24:16","guid":{"rendered":"https:\/\/www.mechstream.com\/?p=15903"},"modified":"2025-05-20T03:27:29","modified_gmt":"2025-05-20T03:27:29","slug":"spring-damper-selection-calculator","status":"publish","type":"post","link":"https:\/\/www.mechstream.com\/ar\/spring-damper-selection-calculator\/","title":{"rendered":"\u062d\u0627\u0633\u0628\u0629 \u0627\u062e\u062a\u064a\u0627\u0631 \u0627\u0644\u0632\u0646\u0628\u0631\u0643-\u0627\u0644\u0645\u062b\u0628\u0637"},"content":{"rendered":"

\u0627\u0643\u062a\u0634\u0641 \u062a\u0631\u0643\u064a\u0628\u0629 \u0627\u0644\u0646\u0627\u0628\u0636 \u0648\u0627\u0644\u0645\u062e\u0645\u062f \u0627\u0644\u0645\u062b\u0627\u0644\u064a\u0629 \u0644\u0645\u0634\u0627\u0631\u064a\u0639\u0643 \u0627\u0644\u0647\u0646\u062f\u0633\u064a\u0629 \u0645\u0639 \u062d\u0627\u0633\u0628\u0629 \u0627\u062e\u062a\u064a\u0627\u0631 \u0627\u0644\u0646\u0627\u0628\u0636 \u0648\u0627\u0644\u0645\u062e\u0645\u062f. \u062a\u064f\u0628\u0633\u0651\u0637 \u0647\u0630\u0647 \u0627\u0644\u0623\u062f\u0627\u0629 \u0633\u0647\u0644\u0629 \u0627\u0644\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0639\u0645\u0644\u064a\u0629 \u0627\u062e\u062a\u064a\u0627\u0631 \u0627\u0644\u0645\u0643\u0648\u0646\u0627\u062a \u0627\u0644\u0645\u0646\u0627\u0633\u0628\u0629 \u0645\u0646 \u062e\u0644\u0627\u0644 \u062a\u062d\u0644\u064a\u0644 \u0645\u062a\u0637\u0644\u0628\u0627\u062a\u0643 \u0627\u0644\u062e\u0627\u0635\u0629. \u0633\u0648\u0627\u0621 \u0643\u0646\u062a \u062a\u064f\u0635\u0645\u0651\u0645 \u0623\u0646\u0638\u0645\u0629 \u062a\u0639\u0644\u064a\u0642 \u0627\u0644\u0633\u064a\u0627\u0631\u0627\u062a\u060c \u0623\u0648 \u0627\u0644\u0622\u0644\u0627\u062a \u0627\u0644\u0635\u0646\u0627\u0639\u064a\u0629\u060c \u0623\u0648 \u0627\u0644\u0631\u0648\u0628\u0648\u062a\u0627\u062a\u060c \u062a\u064f\u0642\u062f\u0651\u0645 \u062d\u0627\u0633\u0628\u062a\u0646\u0627 \u062a\u0648\u0635\u064a\u0627\u062a \u062f\u0642\u064a\u0642\u0629 \u0644\u062a\u062d\u0633\u064a\u0646 \u0627\u0644\u0623\u062f\u0627\u0621 \u0648\u0627\u0644\u0643\u0641\u0627\u0621\u0629. \u0648\u0641\u0651\u0631 \u0627\u0644\u0648\u0642\u062a \u0648\u062e\u0641\u0651\u0636 \u0627\u0644\u062a\u0643\u0627\u0644\u064a\u0641 \u0645\u0646 \u062e\u0644\u0627\u0644 \u0636\u0645\u0627\u0646 \u062f\u064a\u0646\u0627\u0645\u064a\u0643\u064a\u0627\u062a \u0645\u062b\u0627\u0644\u064a\u0629 \u0644\u0644\u0646\u0638\u0627\u0645. \u0627\u0633\u062a\u0645\u062a\u0639 \u0628\u0627\u0644\u062f\u0642\u0629 \u0648\u0627\u0644\u0645\u0648\u062b\u0648\u0642\u064a\u0629 \u0641\u064a \u0643\u0644 \u0639\u0645\u0644\u064a\u0629 \u062d\u0633\u0627\u0628\u064a\u0629\u060c \u0645\u064f\u0635\u0645\u0651\u0645\u0629 \u062e\u0635\u064a\u0635\u064b\u0627 \u0644\u062a\u0644\u0628\u064a\u0629 \u0645\u062a\u0637\u0644\u0628\u0627\u062a \u0645\u0634\u0631\u0648\u0639\u0643. \u0627\u0628\u062f\u0623 \u0627\u0644\u062a\u062d\u0633\u064a\u0646 \u0627\u0644\u064a\u0648\u0645\u060c \u0648\u0627\u0631\u062a\u0642\u064a \u0628\u0623\u0639\u0645\u0627\u0644\u0643 \u0627\u0644\u0647\u0646\u062f\u0633\u064a\u0629 \u0625\u0644\u0649 \u0645\u0633\u062a\u0648\u0649 \u0623\u0639\u0644\u0649 \u0645\u0639 \u062d\u0644\u0646\u0627 \u0627\u0644\u0645\u0628\u062a\u0643\u0631.<\/p>\n\n\n

\n
\"\u062d\u0627\u0633\u0628\u0629<\/figure>\n<\/div>\n\n\n\n\n\n \n \n \u062d\u0627\u0633\u0628\u0629 \u0627\u062e\u062a\u064a\u0627\u0631 \u0645\u062e\u0645\u062f\u0627\u062a \u0627\u0644\u0632\u0646\u0628\u0631\u0643 | \u062d\u0644\u0648\u0644 \u0639\u0632\u0644 \u0627\u0644\u0627\u0647\u062a\u0632\u0627\u0632\u0627\u062a \u0627\u0644\u0627\u062d\u062a\u0631\u0627\u0641\u064a\u0629<\/title>\n <style>\n \/* Reset and base styles applied within the container *\/\n .calculator-container * {\n margin: 0;\n padding: 0;\n box-sizing: border-box;\n }\n\n \/* Calculator container *\/\n .calculator-container {\n font-family: -apple-system, BlinkMacSystemFont, \"Segoe UI\", Roboto, Oxygen-Sans, Ubuntu, Cantarell, \"Helvetica Neue\", sans-serif;\n line-height: 1.6;\n color: #333;\n max-width: 1200px;\n margin: 20px auto; \/* Add top\/bottom margin and auto for centering *\/\n padding: 20px;\n background: #fff; \/* Moved from container rule below *\/\n border-radius: 8px; \/* Moved from container rule below *\/\n box-shadow: 0 2px 10px rgba(0,0,0,0.1); \/* Moved from container rule below *\/\n margin-bottom: 30px; \/* Moved from container rule below *\/\n }\n\n \/* Section styles *\/\n .calculator-container .section {\n margin-bottom: 30px;\n }\n\n .calculator-container .section-title {\n color: #000;\n font-size: 1.5em;\n margin-bottom: 15px;\n font-weight: 600;\n }\n\n \/* Parameter explanations *\/\n .calculator-container .parameters-grid {\n display: grid;\n grid-template-columns: repeat(auto-fit, minmax(250px, 1fr));\n gap: 15px;\n margin-bottom: 20px;\n }\n\n .calculator-container .parameter-item {\n background: #f8f9fa; \/* Moved from item rule below *\/\n padding: 10px; \/* Moved from item rule below *\/\n border-radius: 4px; \/* Moved from item rule below *\/\n }\n\n .calculator-container .parameter-name {\n font-weight: 600;\n color: #000;\n }\n\n \/* Diagram section *\/\n .calculator-container .diagram-container {\n text-align: center;\n margin: 20px 0;\n }\n\n .calculator-container .diagram {\n max-width: 100%;\n height: auto;\n }\n\n \/* Calculator form *\/\n .calculator-container .calculator-form {\n display: grid;\n grid-template-columns: repeat(2, 1fr);\n gap: 15px;\n margin-bottom: 20px;\n }\n\n .calculator-container .input-group {\n display: flex;\n flex-direction: column;\n }\n\n .calculator-container .input-group label {\n margin-bottom: 5px;\n font-weight: 500;\n }\n\n .calculator-container .input-group input,\n .calculator-container .input-group select {\n padding: 8px;\n border: 1px solid #ddd;\n border-radius: 4px;\n font-size: 1em;\n }\n\n \/* Calculate button *\/\n .calculator-container .calculate-btn {\n background: #007bff;\n color: white;\n border: none;\n padding: 12px 24px;\n border-radius: 4px;\n cursor: pointer;\n font-size: 1.1em;\n transition: background 0.3s;\n grid-column: 1 \/ -1;\n margin: 10px auto;\n width: 25%;\n }\n\n .calculator-container .calculate-btn:hover {\n background: #0056b3;\n color: white; \/* Ensure text color is white on hover *\/\n }\n\n \/* Results section *\/\n .calculator-container .results {\n display: none;\n background: #e9ecef;\n padding: 20px;\n border-radius: 4px;\n margin-top: 20px;\n }\n\n .calculator-container .results.show {\n display: block;\n }\n\n .calculator-container .result-item {\n margin-bottom: 10px;\n font-size: 1.1em;\n }\n\n .calculator-container .result-value {\n font-weight: 600;\n color: #000;\n }\n\n \/* Responsive adjustments *\/\n @media (max-width: 768px) {\n .calculator-container .calculator-form {\n grid-template-columns: 1fr;\n }\n\n .calculator-container .parameters-grid {\n grid-template-columns: 1fr;\n }\n }\n <\/style>\n<\/head>\n<body>\n <div class=\"calculator-container\">\n <!-- Parameter Explanations Section -->\n <div class=\"section\">\n <h2 class=\"section-title\">\u062d\u062f\u0648\u062f<\/h2>\n <div class=\"parameters-grid\">\n <div class=\"parameter-item\">\n <div class=\"parameter-name\">\u0645\u062d\u0645\u0644 \u0632\u0646\u0628\u0631\u0643\u064a (\u0648\u0627\u0637) (\u0643\u062c\u0645)<\/div>\n <p>\u0627\u0644\u0643\u062a\u0644\u0629 \u0627\u0644\u0643\u0644\u064a\u0629 \u0627\u0644\u062a\u064a \u064a\u062f\u0639\u0645\u0647\u0627 \u0627\u0644\u0632\u0646\u0628\u0631\u0643 \u0628\u0627\u0644\u0643\u064a\u0644\u0648\u062c\u0631\u0627\u0645.<\/p>\n <\/div>\n <div class=\"parameter-item\">\n <div class=\"parameter-name\">\u0633\u0631\u0639\u0629 \u0627\u0644\u0645\u0631\u0648\u062d\u0629 (\u0646\u064a\u0648\u062a\u0646) (\u062f\u0648\u0631\u0629 \u0641\u064a \u0627\u0644\u062f\u0642\u064a\u0642\u0629)<\/div>\n <p>\u0633\u0631\u0639\u0629 \u062a\u0634\u063a\u064a\u0644 \u0627\u0644\u0645\u0631\u0648\u062d\u0629 \u0628\u0627\u0644\u062f\u0648\u0631\u0629 \u0641\u064a \u0627\u0644\u062f\u0642\u064a\u0642\u0629.<\/p>\n <\/div>\n <div class=\"parameter-item\">\n <div class=\"parameter-name\">\u0645\u0639\u062f\u0644 \u0627\u0644\u0639\u0632\u0644 (TA) (\u0627\u0644\u0646\u0633\u0628\u0629)<\/div>\n <p>\u0627\u0644\u0646\u0633\u0628\u0629 \u0627\u0644\u0645\u0626\u0648\u064a\u0629 \u0627\u0644\u0645\u0637\u0644\u0648\u0628\u0629 \u0644\u0639\u0632\u0644 \u0627\u0644\u0627\u0647\u062a\u0632\u0627\u0632\u060c \u0645\u0639\u0628\u0631\u064b\u0627 \u0639\u0646\u0647\u0627 \u0643\u0646\u0633\u0628\u0629 \u0628\u064a\u0646 0 \u06481 (\u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c 0.95 \u0644\u0639\u0632\u0644 95%).<\/p>\n <\/div>\n <\/div>\n <\/div>\n\n <!-- Calculator Section -->\n <div class=\"section\">\n <h2 class=\"section-title\">\u0627\u0644\u0622\u0644\u0629 \u0627\u0644\u062d\u0627\u0633\u0628\u0629<\/h2>\n <form class=\"calculator-form\" id=\"calculatorForm\" action=\"\">\n <div class=\"input-group\">\n <label for=\"mass\">\u0645\u062d\u0645\u0644 \u0632\u0646\u0628\u0631\u0643\u064a (\u0648\u0627\u0637) (\u0643\u062c\u0645)<\/label>\n <input type=\"number\" id=\"mass\" name=\"mass\" step=\"0.01\" required>\n <\/div>\n <div class=\"input-group\">\n <label for=\"fanSpeed\">\u0633\u0631\u0639\u0629 \u0627\u0644\u0645\u0631\u0648\u062d\u0629 (\u0646\u064a\u0648\u062a\u0646) (\u062f\u0648\u0631\u0629 \u0641\u064a \u0627\u0644\u062f\u0642\u064a\u0642\u0629)<\/label>\n <input type=\"number\" id=\"fanSpeed\" name=\"fanSpeed\" step=\"0.01\" required>\n <\/div>\n <div class=\"input-group\">\n <label for=\"isolationRate\">\u0645\u0639\u062f\u0644 \u0627\u0644\u0639\u0632\u0644 (TA) (\u0627\u0644\u0646\u0633\u0628\u0629)<\/label>\n <input type=\"number\" id=\"isolationRate\" name=\"isolationRate\" step=\"0.01\" min=\"0\" max=\"0.999\" required>\n <\/div>\n <button type=\"submit\" class=\"calculate-btn\">\u0627\u062d\u0633\u0628<\/button>\n <input type=\"hidden\" name=\"trp-form-language\" value=\"ar\"\/><\/form>\n <\/div>\n\n <!-- Results Section -->\n <div class=\"section\">\n <div class=\"results\" id=\"results\">\n <h2 class=\"section-title\">\u0627\u0644\u0646\u062a\u0627\u0626\u062c<\/h2>\n <div class=\"result-item\">\n \u0646\u0633\u0628\u0629 \u0627\u0644\u0646\u0642\u0644 (\u03b7): <span class=\"result-value\" id=\"transmissionRatio\">0<\/span>\n <\/div>\n <div class=\"result-item\">\n \u062a\u0631\u062f\u062f \u0627\u0644\u0625\u062b\u0627\u0631\u0629 (fn): <span class=\"result-value\" id=\"excitationFreq\">0<\/span> \u0647\u0631\u062a\u0632\n <\/div>\n <div class=\"result-item\">\n \u0627\u0644\u062a\u0631\u062f\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0644\u0644\u0631\u0628\u064a\u0639 (fo): <span class=\"result-value\" id=\"naturalFreq\">0<\/span> \u0647\u0631\u062a\u0632\n <\/div>\n <div class=\"result-item\">\n \u0636\u063a\u0637 \u0627\u0644\u0632\u0646\u0628\u0631\u0643 (h): <span class=\"result-value\" id=\"springCompression\">0<\/span> \u0645\u0645\n <\/div>\n <div class=\"result-item\">\n \u0635\u0644\u0627\u0628\u0629 \u0627\u0644\u0632\u0646\u0628\u0631\u0643 (\u0643): <span class=\"result-value\" id=\"requiredStiffness\">0<\/span> \u0643\u062c\u0645\/\u0645\u0645\n <\/div>\n <\/div>\n <\/div>\n <\/div>\n\n <script>\n (function() { \/\/ Wrap in IIFE\n document.getElementById('calculatorForm').addEventListener('submit', function(e) {\n e.preventDefault();\n \n \/\/ Get input values\n const mass_W = parseFloat(document.getElementById('mass').value);\n const fanSpeed_N = parseFloat(document.getElementById('fanSpeed').value);\n const isolationRate_TA = parseFloat(document.getElementById('isolationRate').value);\n\n \/\/ Validate isolation rate input\n if (isolationRate_TA < 0 || isolationRate_TA >= 1) {\n alert(\"Please enter an Isolation Rate (TA) as a ratio between 0 and 1 (e.g., 0.95).\");\n return;\n }\n\n \/\/ Calculate excitation frequency (Hz)\n const excitationFreq = fanSpeed_N \/ 60;\n\n \/\/ Calculate required natural frequency (Hz) based on Isolation Rate\n \/\/ Formula: fn = f_excitation * sqrt((1 - TA) \/ (2 - TA))\n let naturalFreq = 0;\n let requiredStiffness_N_m = 0;\n let transmissionRatio = 1 - isolationRate_TA; \/\/ Calculate transmission ratio\n let springCompression = 0;\n let requiredStiffness_kg_mm = 0;\n\n \/\/ Ensure denominator is not zero or negative under sqrt\n if ((2 - isolationRate_TA) > 0) {\n naturalFreq = excitationFreq * Math.sqrt((1 - isolationRate_TA) \/ (2 - isolationRate_TA));\n\n \/\/ Calculate required stiffness (N\/m)\n \/\/ Formula: k = m * (2 * PI * fn)^2\n requiredStiffness_N_m = mass_W * Math.pow(2 * Math.PI * naturalFreq, 2);\n \n \/\/ Convert stiffness from N\/m to kg\/mm\n \/\/ 1 N\/m = (1\/9.81) kg \/ m = (1\/9.81) \/ 1000 kg\/mm\n requiredStiffness_kg_mm = requiredStiffness_N_m \/ 9810;\n\n \/\/ Calculate spring compression (mm)\n \/\/ Formula: h = W \/ K (using W in kg and K in kg\/mm)\n if (requiredStiffness_kg_mm > 0) {\n springCompression = mass_W \/ requiredStiffness_kg_mm;\n }\n } else {\n \/\/ Handle cases where isolation rate is too high or invalid\n naturalFreq = NaN; \/\/ Not a Number\n requiredStiffness_N_m = NaN;\n requiredStiffness_kg_mm = NaN;\n springCompression = NaN;\n transmissionRatio = NaN;\n alert(\"Cannot calculate for the given Isolation Rate. Please ensure TA is less than 1.\");\n }\n\n \/\/ Display results\n document.getElementById('transmissionRatio').textContent = isNaN(transmissionRatio) ? 'Error' : transmissionRatio.toFixed(3);\n document.getElementById('excitationFreq').textContent = isNaN(excitationFreq) ? 'Error' : excitationFreq.toFixed(2);\n document.getElementById('naturalFreq').textContent = isNaN(naturalFreq) ? 'Error' : naturalFreq.toFixed(2);\n document.getElementById('springCompression').textContent = isNaN(springCompression) ? 'Error' : springCompression.toFixed(2);\n document.getElementById('requiredStiffness').textContent = isNaN(requiredStiffness_kg_mm) ? 'Error' : requiredStiffness_kg_mm.toFixed(4);\n\n \/\/ Show results section\n document.getElementById('results').classList.add('show');\n });\n })(); \/\/ End of IIFE\n <\/script>\n<\/body>\n<\/html>","protected":false},"excerpt":{"rendered":"<p>\u0627\u0643\u062a\u0634\u0641 \u062a\u0631\u0643\u064a\u0628\u0629 \u0627\u0644\u0646\u0627\u0628\u0636 \u0648\u0627\u0644\u0645\u062e\u0645\u062f \u0627\u0644\u0645\u062b\u0627\u0644\u064a\u0629 \u0644\u0645\u0634\u0627\u0631\u064a\u0639\u0643 \u0627\u0644\u0647\u0646\u062f\u0633\u064a\u0629 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062d\u0627\u0633\u0628\u0629 \u0627\u062e\u062a\u064a\u0627\u0631 \u0627\u0644\u0646\u0627\u0628\u0636 \u0648\u0627\u0644\u0645\u062e\u0645\u062f. \u062a\u064f\u0628\u0633\u0651\u0637 \u0647\u0630\u0647 \u0627\u0644\u0623\u062f\u0627\u0629 \u0633\u0647\u0644\u0629 \u0627\u0644\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0639\u0645\u0644\u064a\u0629 \u0627\u062e\u062a\u064a\u0627\u0631 \u0627\u0644\u0645\u0643\u0648\u0646\u0627\u062a \u0627\u0644\u0645\u0646\u0627\u0633\u0628\u0629.<\/p>","protected":false},"author":2,"featured_media":15906,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"pmpro_default_level":"","_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[3434],"tags":[3398,3681,3574],"class_list":["post-15903","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-spring-calculator","tag-engineering-tools","tag-spring-damper","tag-system-optimization","pmpro-has-access"],"acf":[],"jetpack_featured_media_url":"https:\/\/www.mechstream.com\/wp-content\/uploads\/2025\/05\/Spring-Damper-Selection-Calculator.png","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.mechstream.com\/ar\/wp-json\/wp\/v2\/posts\/15903","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mechstream.com\/ar\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.mechstream.com\/ar\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.mechstream.com\/ar\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mechstream.com\/ar\/wp-json\/wp\/v2\/comments?post=15903"}],"version-history":[{"count":0,"href":"https:\/\/www.mechstream.com\/ar\/wp-json\/wp\/v2\/posts\/15903\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mechstream.com\/ar\/wp-json\/wp\/v2\/media\/15906"}],"wp:attachment":[{"href":"https:\/\/www.mechstream.com\/ar\/wp-json\/wp\/v2\/media?parent=15903"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.mechstream.com\/ar\/wp-json\/wp\/v2\/categories?post=15903"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.mechstream.com\/ar\/wp-json\/wp\/v2\/tags?post=15903"}],"curies":[{"name":"\u0648\u0648\u0631\u062f\u0628\u0631\u064a\u0633","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}