{"id":162211,"date":"2023-01-25T07:34:37","date_gmt":"2023-01-25T07:34:37","guid":{"rendered":"\/knowledge\/forums\/topic\/are-psd-results-correct-if-the-following-message-is-used-during-the-solve-one-or-more-diagonal-terms-of-the-modal-covariance-matrix-i-e-when-mode-i-mode-j-is-negative-the-1-sigma-re\/"},"modified":"2023-07-31T12:36:35","modified_gmt":"2023-07-31T12:36:35","slug":"are-psd-results-correct-if-the-following-message-is-used-during-the-solve-one-or-more-diagonal-terms-of-the-modal-covariance-matrix-i-e-when-mode-i-mode-j-is-negative-the-1-sigma-re","status":"publish","type":"topic","link":"https:\/\/innovationspace.ansys.com\/knowledge\/forums\/topic\/are-psd-results-correct-if-the-following-message-is-used-during-the-solve-one-or-more-diagonal-terms-of-the-modal-covariance-matrix-i-e-when-mode-i-mode-j-is-negative-the-1-sigma-re\/","title":{"rendered":"Are PSD results correct if the following message is used during the solve.  \u201cOne or more diagonal terms of the modal covariance matrix (i.e., when mode i = mode j) is negative.  The 1 sigma results may be incorrect as a result of the input PSD curve being improperly represented.\u201d"},"content":{"rendered":"<p>No.  Some recommendations are: 1.  Check the PSD input curve fit with PSDGRAPH.  PSD input frequencies should not increase by more than one order of magnitude per point. 2.  Take the square root of the integral of the response PSD [RPSD in post26] and compare this quantity to the Post1 1 sigma value.  They should be equal. 3.  Do not input a curve with very low frequency values, far below the natural frequencies of the structure.<\/p>\n","protected":false},"template":"","class_list":["post-162211","topic","type-topic","status-publish","hentry","topic-tag-6-1","topic-tag-mechanical-apdl-f-ansys","topic-tag-modal-harmonic-response","topic-tag-psd-results","topic-tag-structural-dynamics","topic-tag-structural-mechanics"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 4.9.10 - aioseo.com -->\n\t<meta name=\"description\" content=\"No. Some recommendations are: 1. Check the PSD input curve fit with PSDGRAPH. PSD input frequencies should not increase by more than one order of magnitude per point. 2. Take the square root of the integral of the response PSD [RPSD in post26] and compare this quantity to the Post1 1 sigma value. They should\" \/>\n\t<meta name=\"robots\" content=\"max-image-preview:large\" \/>\n\t<link rel=\"canonical\" href=\"https:\/\/innovationspace.ansys.com\/knowledge\/forums\/topic\/are-psd-results-correct-if-the-following-message-is-used-during-the-solve-one-or-more-diagonal-terms-of-the-modal-covariance-matrix-i-e-when-mode-i-mode-j-is-negative-the-1-sigma-re\/\" \/>\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 Knowledge | Ansys Innovation Space\" \/>\n\t\t<meta property=\"og:type\" content=\"article\" \/>\n\t\t<meta property=\"og:title\" content=\"Are PSD results correct if the following message is used during the solve. \u201cOne or more diagonal terms of the modal covariance matrix (i.e., when mode i = mode j) is negative. The 1 sigma results may be incorrect as a result of the input PSD curve being improperly represented.\u201d | Ansys Knowledge\" \/>\n\t\t<meta property=\"og:description\" content=\"No. Some recommendations are: 1. Check the PSD input curve fit with PSDGRAPH. PSD input frequencies should not increase by more than one order of magnitude per point. 2. Take the square root of the integral of the response PSD [RPSD in post26] and compare this quantity to the Post1 1 sigma value. 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Check the PSD input curve fit with PSDGRAPH. PSD input frequencies should not increase by more than one order of magnitude per point. 2. Take the square root of the integral of the response PSD [RPSD in post26] and compare this quantity to the Post1 1 sigma value. 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The 1 sigma results may be incorrect as a result of the input PSD curve being improperly represented.\\u201d\"},\"previousItem\":{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/innovationspace.ansys.com\\\/knowledge\\\/topics\\\/#listItem\",\"name\":\"Topics\"}},{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/innovationspace.ansys.com\\\/knowledge\\\/forums\\\/topic\\\/are-psd-results-correct-if-the-following-message-is-used-during-the-solve-one-or-more-diagonal-terms-of-the-modal-covariance-matrix-i-e-when-mode-i-mode-j-is-negative-the-1-sigma-re\\\/#listItem\",\"position\":4,\"name\":\"Are PSD results correct if the following message is used during the solve.  \\u201cOne or more diagonal terms of the modal covariance matrix (i.e., when mode i = mode j) is negative.  The 1 sigma results may be incorrect as a result of the input PSD curve being improperly represented.\\u201d\",\"previousItem\":{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/innovationspace.ansys.com\\\/knowledge\\\/forums\\\/topic-tag\\\/structural-mechanics\\\/#listItem\",\"name\":\"structural-mechanics\"}}]},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/innovationspace.ansys.com\\\/knowledge\\\/#organization\",\"name\":\"Ansys Knowledge\",\"description\":\"Ansys Innovation Space\",\"url\":\"https:\\\/\\\/innovationspace.ansys.com\\\/knowledge\\\/\"},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/innovationspace.ansys.com\\\/knowledge\\\/forums\\\/topic\\\/are-psd-results-correct-if-the-following-message-is-used-during-the-solve-one-or-more-diagonal-terms-of-the-modal-covariance-matrix-i-e-when-mode-i-mode-j-is-negative-the-1-sigma-re\\\/#webpage\",\"url\":\"https:\\\/\\\/innovationspace.ansys.com\\\/knowledge\\\/forums\\\/topic\\\/are-psd-results-correct-if-the-following-message-is-used-during-the-solve-one-or-more-diagonal-terms-of-the-modal-covariance-matrix-i-e-when-mode-i-mode-j-is-negative-the-1-sigma-re\\\/\",\"name\":\"Are PSD results correct if the following message is used during the solve. \\u201cOne or more diagonal terms of the modal covariance matrix (i.e., when mode i = mode j) is negative. The 1 sigma results may be incorrect as a result of the input PSD curve being improperly represented.\\u201d | Ansys Knowledge\",\"description\":\"No. Some recommendations are: 1. Check the PSD input curve fit with PSDGRAPH. PSD input frequencies should not increase by more than one order of magnitude per point. 2. Take the square root of the integral of the response PSD [RPSD in post26] and compare this quantity to the Post1 1 sigma value. 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The 1 sigma results may be incorrect as a result of the input PSD curve being improperly represented.\u201d | Ansys Knowledge","description":"No. Some recommendations are: 1. Check the PSD input curve fit with PSDGRAPH. PSD input frequencies should not increase by more than one order of magnitude per point. 2. Take the square root of the integral of the response PSD [RPSD in post26] and compare this quantity to the Post1 1 sigma value. They should","canonical_url":"https:\/\/innovationspace.ansys.com\/knowledge\/forums\/topic\/are-psd-results-correct-if-the-following-message-is-used-during-the-solve-one-or-more-diagonal-terms-of-the-modal-covariance-matrix-i-e-when-mode-i-mode-j-is-negative-the-1-sigma-re\/","robots":"max-image-preview:large","keywords":"","webmasterTools":{"miscellaneous":""},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"BreadcrumbList","@id":"https:\/\/innovationspace.ansys.com\/knowledge\/forums\/topic\/are-psd-results-correct-if-the-following-message-is-used-during-the-solve-one-or-more-diagonal-terms-of-the-modal-covariance-matrix-i-e-when-mode-i-mode-j-is-negative-the-1-sigma-re\/#breadcrumblist","itemListElement":[{"@type":"ListItem","@id":"https:\/\/innovationspace.ansys.com\/knowledge#listItem","position":1,"name":"Home","item":"https:\/\/innovationspace.ansys.com\/knowledge","nextItem":{"@type":"ListItem","@id":"https:\/\/innovationspace.ansys.com\/knowledge\/topics\/#listItem","name":"Topics"}},{"@type":"ListItem","@id":"https:\/\/innovationspace.ansys.com\/knowledge\/topics\/#listItem","position":2,"name":"Topics","item":"https:\/\/innovationspace.ansys.com\/knowledge\/topics\/","nextItem":{"@type":"ListItem","@id":"https:\/\/innovationspace.ansys.com\/knowledge\/forums\/topic-tag\/structural-mechanics\/#listItem","name":"structural-mechanics"},"previousItem":{"@type":"ListItem","@id":"https:\/\/innovationspace.ansys.com\/knowledge#listItem","name":"Home"}},{"@type":"ListItem","@id":"https:\/\/innovationspace.ansys.com\/knowledge\/forums\/topic-tag\/structural-mechanics\/#listItem","position":3,"name":"structural-mechanics","item":"https:\/\/innovationspace.ansys.com\/knowledge\/forums\/topic-tag\/structural-mechanics\/","nextItem":{"@type":"ListItem","@id":"https:\/\/innovationspace.ansys.com\/knowledge\/forums\/topic\/are-psd-results-correct-if-the-following-message-is-used-during-the-solve-one-or-more-diagonal-terms-of-the-modal-covariance-matrix-i-e-when-mode-i-mode-j-is-negative-the-1-sigma-re\/#listItem","name":"Are PSD results correct if the following message is used during the solve.  \u201cOne or more diagonal terms of the modal covariance matrix (i.e., when mode i = mode j) is negative.  The 1 sigma results may be incorrect as a result of the input PSD curve being improperly represented.\u201d"},"previousItem":{"@type":"ListItem","@id":"https:\/\/innovationspace.ansys.com\/knowledge\/topics\/#listItem","name":"Topics"}},{"@type":"ListItem","@id":"https:\/\/innovationspace.ansys.com\/knowledge\/forums\/topic\/are-psd-results-correct-if-the-following-message-is-used-during-the-solve-one-or-more-diagonal-terms-of-the-modal-covariance-matrix-i-e-when-mode-i-mode-j-is-negative-the-1-sigma-re\/#listItem","position":4,"name":"Are PSD results correct if the following message is used during the solve.  \u201cOne or more diagonal terms of the modal covariance matrix (i.e., when mode i = mode j) is negative.  The 1 sigma results may be incorrect as a result of the input PSD curve being improperly represented.\u201d","previousItem":{"@type":"ListItem","@id":"https:\/\/innovationspace.ansys.com\/knowledge\/forums\/topic-tag\/structural-mechanics\/#listItem","name":"structural-mechanics"}}]},{"@type":"Organization","@id":"https:\/\/innovationspace.ansys.com\/knowledge\/#organization","name":"Ansys Knowledge","description":"Ansys Innovation Space","url":"https:\/\/innovationspace.ansys.com\/knowledge\/"},{"@type":"WebPage","@id":"https:\/\/innovationspace.ansys.com\/knowledge\/forums\/topic\/are-psd-results-correct-if-the-following-message-is-used-during-the-solve-one-or-more-diagonal-terms-of-the-modal-covariance-matrix-i-e-when-mode-i-mode-j-is-negative-the-1-sigma-re\/#webpage","url":"https:\/\/innovationspace.ansys.com\/knowledge\/forums\/topic\/are-psd-results-correct-if-the-following-message-is-used-during-the-solve-one-or-more-diagonal-terms-of-the-modal-covariance-matrix-i-e-when-mode-i-mode-j-is-negative-the-1-sigma-re\/","name":"Are PSD results correct if the following message is used during the solve. \u201cOne or more diagonal terms of the modal covariance matrix (i.e., when mode i = mode j) is negative. The 1 sigma results may be incorrect as a result of the input PSD curve being improperly represented.\u201d | Ansys Knowledge","description":"No. Some recommendations are: 1. Check the PSD input curve fit with PSDGRAPH. PSD input frequencies should not increase by more than one order of magnitude per point. 2. Take the square root of the integral of the response PSD [RPSD in post26] and compare this quantity to the Post1 1 sigma value. They should","inLanguage":"en-US","isPartOf":{"@id":"https:\/\/innovationspace.ansys.com\/knowledge\/#website"},"breadcrumb":{"@id":"https:\/\/innovationspace.ansys.com\/knowledge\/forums\/topic\/are-psd-results-correct-if-the-following-message-is-used-during-the-solve-one-or-more-diagonal-terms-of-the-modal-covariance-matrix-i-e-when-mode-i-mode-j-is-negative-the-1-sigma-re\/#breadcrumblist"},"datePublished":"2023-01-25T07:34:37+00:00","dateModified":"2023-07-31T12:36:35+00:00"},{"@type":"WebSite","@id":"https:\/\/innovationspace.ansys.com\/knowledge\/#website","url":"https:\/\/innovationspace.ansys.com\/knowledge\/","name":"Ansys Knowledge","description":"Ansys Innovation Space","inLanguage":"en-US","publisher":{"@id":"https:\/\/innovationspace.ansys.com\/knowledge\/#organization"}}]},"og:locale":"en_US","og:site_name":"Ansys Knowledge | Ansys Innovation Space","og:type":"article","og:title":"Are PSD results correct if the following message is used during the solve. \u201cOne or more diagonal terms of the modal covariance matrix (i.e., when mode i = mode j) is negative. The 1 sigma results may be incorrect as a result of the input PSD curve being improperly represented.\u201d | Ansys Knowledge","og:description":"No. Some recommendations are: 1. Check the PSD input curve fit with PSDGRAPH. PSD input frequencies should not increase by more than one order of magnitude per point. 2. Take the square root of the integral of the response PSD [RPSD in post26] and compare this quantity to the Post1 1 sigma value. They should","og:url":"https:\/\/innovationspace.ansys.com\/knowledge\/forums\/topic\/are-psd-results-correct-if-the-following-message-is-used-during-the-solve-one-or-more-diagonal-terms-of-the-modal-covariance-matrix-i-e-when-mode-i-mode-j-is-negative-the-1-sigma-re\/","article:published_time":"2023-01-25T07:34:37+00:00","article:modified_time":"2023-07-31T12:36:35+00:00","twitter:card":"summary_large_image","twitter:title":"Are PSD results correct if the following message is used during the solve. \u201cOne or more diagonal terms of the modal covariance matrix (i.e., when mode i = mode j) is negative. The 1 sigma results may be incorrect as a result of the input PSD curve being improperly represented.\u201d | Ansys Knowledge","twitter:description":"No. Some recommendations are: 1. Check the PSD input curve fit with PSDGRAPH. PSD input frequencies should not increase by more than one order of magnitude per point. 2. Take the square root of the integral of the response PSD [RPSD in post26] and compare this quantity to the Post1 1 sigma value. 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The 1 sigma results may be incorrect as a result of the input PSD curve being improperly represented.\u201d\n\t\t<\/span><\/div>","aioseo_breadcrumb_json":[{"label":"Home","link":"https:\/\/innovationspace.ansys.com\/knowledge"},{"label":"Topics","link":"https:\/\/innovationspace.ansys.com\/knowledge\/topics\/"},{"label":"structural-mechanics","link":"https:\/\/innovationspace.ansys.com\/knowledge\/forums\/topic-tag\/structural-mechanics\/"},{"label":"Are PSD results correct if the following message is used during the solve.  \u201cOne or more diagonal terms of the modal covariance matrix (i.e., when mode i = mode j) is negative.  The 1 sigma results may be incorrect as a result of the input PSD curve being improperly represented.\u201d","link":"https:\/\/innovationspace.ansys.com\/knowledge\/forums\/topic\/are-psd-results-correct-if-the-following-message-is-used-during-the-solve-one-or-more-diagonal-terms-of-the-modal-covariance-matrix-i-e-when-mode-i-mode-j-is-negative-the-1-sigma-re\/"}],"acf":[],"custom_fields":[{"0":{"_wp_page_template":["default"],"_bbp_forum_id":["27792"],"_bbp_last_active_time":["1-24-2023  20:20:17"],"_bbp_author_ip":["23.56.168.180"],"_btv_view_count":["1946"],"siebel_km_number":["178474"],"product_version":["6.1"],"km_published_date":["2002-05-22T09:00:15.000Z"],"family":["Structural Mechanics"],"application_name":["Mechanical APDL (f. 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