{"id":192442,"date":"2021-11-01T21:32:24","date_gmt":"2021-11-01T21:32:24","guid":{"rendered":"\/forum\/forums\/reply\/192442\/"},"modified":"2021-11-01T21:32:24","modified_gmt":"2021-11-01T21:32:24","slug":"192442","status":"publish","type":"reply","link":"https:\/\/innovationspace.ansys.com\/forum\/forums\/reply\/192442\/","title":{"rendered":"Reply To: How to calculate eigen frequencies using analytical approach?"},"content":{"rendered":"<p>Hooke&#8217;s Law describes a linear relationship so is valid on linear models.  Stiffness doesn&#8217;t change in linear models.<br \/>\nOnce you talk about nonlinear effects, then Hooke&#8217;s law only applies during the initial linear elastic deformation, and not when the large deflection starts. If you have a hyperelastic material model, Hooke&#8217;s law does not apply because the force-extension data is not linear.<\/p>\n","protected":false},"template":"","class_list":["post-192442","reply","type-reply","status-publish","hentry"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 4.9.10 - aioseo.com -->\n\t<meta name=\"description\" content=\"Hooke&#039;s Law describes a linear relationship so is valid on linear models. Stiffness doesn&#039;t change in linear models. Once you talk about nonlinear effects, then Hooke&#039;s law only applies during the initial linear elastic deformation, and not when the large deflection starts. If you have a hyperelastic material model, Hooke&#039;s law does not apply because\" \/>\n\t<meta name=\"robots\" content=\"max-image-preview:large\" \/>\n\t<link rel=\"canonical\" href=\"https:\/\/innovationspace.ansys.com\/forum\/forums\/reply\/192442\/\" \/>\n\t<meta name=\"generator\" content=\"All in One SEO (AIOSEO) 4.9.10\" \/>\n\t\t<meta property=\"og:locale\" content=\"en_US\" \/>\n\t\t<meta property=\"og:site_name\" content=\"Ansys Learning Forum | Ansys Innovation Space\" \/>\n\t\t<meta property=\"og:type\" content=\"article\" \/>\n\t\t<meta property=\"og:title\" content=\"Reply To: How to calculate eigen frequencies using analytical approach? | Ansys Learning Forum\" \/>\n\t\t<meta property=\"og:description\" content=\"Hooke&#039;s Law describes a linear relationship so is valid on linear models. Stiffness doesn&#039;t change in linear models. Once you talk about nonlinear effects, then Hooke&#039;s law only applies during the initial linear elastic deformation, and not when the large deflection starts. If you have a hyperelastic material model, Hooke&#039;s law does not apply because\" \/>\n\t\t<meta property=\"og:url\" content=\"https:\/\/innovationspace.ansys.com\/forum\/forums\/reply\/192442\/\" \/>\n\t\t<meta property=\"article:published_time\" content=\"2021-11-01T21:32:24+00:00\" \/>\n\t\t<meta property=\"article:modified_time\" content=\"2021-11-01T21:32:24+00:00\" \/>\n\t\t<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n\t\t<meta name=\"twitter:title\" content=\"Reply To: How to calculate eigen frequencies using analytical approach? | Ansys Learning Forum\" \/>\n\t\t<meta name=\"twitter:description\" content=\"Hooke&#039;s Law describes a linear relationship so is valid on linear models. Stiffness doesn&#039;t change in linear models. Once you talk about nonlinear effects, then Hooke&#039;s law only applies during the initial linear elastic deformation, and not when the large deflection starts. If you have a hyperelastic material model, Hooke&#039;s law does not apply because\" \/>\n\t\t<script type=\"application\/ld+json\" class=\"aioseo-schema\">\n\t\t\t{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\\\/forums\\\/reply\\\/192442\\\/#breadcrumblist\",\"itemListElement\":[{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum#listItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\",\"nextItem\":{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\\\/forums\\\/reply\\\/192442\\\/#listItem\",\"name\":\"Reply To: How to calculate eigen frequencies using analytical approach?\"}},{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\\\/forums\\\/reply\\\/192442\\\/#listItem\",\"position\":2,\"name\":\"Reply To: How to calculate eigen frequencies using analytical approach?\",\"previousItem\":{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum#listItem\",\"name\":\"Home\"}}]},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\\\/#organization\",\"name\":\"Ansys Learning Forum\",\"description\":\"Ansys Innovation Space\",\"url\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\\\/\"},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\\\/forums\\\/reply\\\/192442\\\/#webpage\",\"url\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\\\/forums\\\/reply\\\/192442\\\/\",\"name\":\"Reply To: How to calculate eigen frequencies using analytical approach? | Ansys Learning Forum\",\"description\":\"Hooke's Law describes a linear relationship so is valid on linear models. Stiffness doesn't change in linear models. Once you talk about nonlinear effects, then Hooke's law only applies during the initial linear elastic deformation, and not when the large deflection starts. If you have a hyperelastic material model, Hooke's law does not apply because\",\"inLanguage\":\"en-US\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\\\/#website\"},\"breadcrumb\":{\"@id\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\\\/forums\\\/reply\\\/192442\\\/#breadcrumblist\"},\"datePublished\":\"2021-11-01T21:32:24+00:00\",\"dateModified\":\"2021-11-01T21:32:24+00:00\"},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\\\/#website\",\"url\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\\\/\",\"name\":\"Ansys Learning Forum\",\"description\":\"Ansys Innovation Space\",\"inLanguage\":\"en-US\",\"publisher\":{\"@id\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\\\/#organization\"}}]}\n\t\t<\/script>\n\t\t<!-- All in One SEO -->\n\n","aioseo_head_json":{"title":"Reply To: How to calculate eigen frequencies using analytical approach? | Ansys Learning Forum","description":"Hooke's Law describes a linear relationship so is valid on linear models. Stiffness doesn't change in linear models. Once you talk about nonlinear effects, then Hooke's law only applies during the initial linear elastic deformation, and not when the large deflection starts. 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Stiffness doesn't change in linear models. Once you talk about nonlinear effects, then Hooke's law only applies during the initial linear elastic deformation, and not when the large deflection starts. If you have a hyperelastic material model, Hooke's law does not apply because","og:url":"https:\/\/innovationspace.ansys.com\/forum\/forums\/reply\/192442\/","article:published_time":"2021-11-01T21:32:24+00:00","article:modified_time":"2021-11-01T21:32:24+00:00","twitter:card":"summary_large_image","twitter:title":"Reply To: How to calculate eigen frequencies using analytical approach? | Ansys Learning Forum","twitter:description":"Hooke's Law describes a linear relationship so is valid on linear models. Stiffness doesn't change in linear models. Once you talk about nonlinear effects, then Hooke's law only applies during the initial linear elastic deformation, and not when the large deflection starts. 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