{"id":1705,"date":"2022-12-07T01:16:14","date_gmt":"2022-12-07T09:16:14","guid":{"rendered":"https:\/\/gantovnik.com\/bio-tips\/?p=1705"},"modified":"2022-12-07T01:35:25","modified_gmt":"2022-12-07T09:35:25","slug":"210-parametric-curve-in-3d-2-2-2-2-2-2-2-2-2-2-2-2-2-3-2-2-2-2-2-2-2-2-2-3-2-2-2-2-2-2-2-2-2-2-3-2","status":"publish","type":"post","link":"https:\/\/gantovnik.com\/bio-tips\/2022\/12\/210-parametric-curve-in-3d-2-2-2-2-2-2-2-2-2-2-2-2-2-3-2-2-2-2-2-2-2-2-2-3-2-2-2-2-2-2-2-2-2-2-3-2\/","title":{"rendered":"#323 Nodal averaging of elemental results in HyperView"},"content":{"rendered":"<p>Nodal averaging of elemental results at a node refers to the average of all the element corner results passing through that node. If no corner results are available for an element, centroidal results will be used to calculate the nodal average. <\/p>\n<p>In the example figure below, four elements are passing through Node 400. The average results at Node 400 are equal to<\/p>\n<p align=\u201dcenter\u201d>\n<img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+%5Cfrac%7BA_2+%2B+B_1+%2B+C_3+%2B+D_4%7D%7B4%7D&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"&#92;displaystyle &#92;frac{A_2 + B_1 + C_3 + D_4}{4}\" class=\"latex\" \/>\n<\/p>\n<p> when &#8220;Use corner data&#8221; is turned on.<\/p>\n<p align=\u201dcenter\u201d>\n<img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+%5Cfrac%7BA+%2B+B+%2B+C+%2B+D%7D%7B4%7D&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"&#92;displaystyle &#92;frac{A + B + C + D}{4}\" class=\"latex\" \/>\n<\/p>\n<p> when &#8220;Use corner data&#8221; is turned off.<\/p>\n<p><a href=\"https:\/\/gantovnik.com\/bio-tips\/2022\/12\/210-parametric-curve-in-3d-2-2-2-2-2-2-2-2-2-2-2-2-2-3-2-2-2-2-2-2-2-2-2-3-2-2-2-2-2-2-2-2-2-2-3-2\/ex323\/\" rel=\"attachment wp-att-1710\"><img data-recalc-dims=\"1\" decoding=\"async\" src=\"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2022\/12\/ex323.png?resize=571%2C473&#038;ssl=1\" alt=\"\" width=\"571\" height=\"473\" class=\"alignnone size-full wp-image-1710\" srcset=\"https:\/\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2022\/12\/ex323.png 571w, https:\/\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2022\/12\/ex323-480x398.png 480w\" sizes=\"(min-width: 0px) and (max-width: 480px) 480px, (min-width: 481px) 571px, 100vw\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Nodal averaging of elemental results at a node refers to the average of all the element corner results passing through that node. If no corner results are available for an element, centroidal results will be used to calculate the nodal average. In the example figure below, four elements are passing through Node 400. The average [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"nf_dc_page":"","_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","_lmt_disableupdate":"yes","_lmt_disable":"","jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[37,59],"tags":[60],"class_list":["post-1705","post","type-post","status-publish","format-standard","hentry","category-fem","category-hyperview","tag-hyperview"],"modified_by":"gantovnik","jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p8bH0k-rv","jetpack_likes_enabled":true,"jetpack-related-posts":[{"id":1573,"url":"https:\/\/gantovnik.com\/bio-tips\/2022\/10\/210-parametric-curve-in-3d-2-2-2-2-2-2-2-2-2-2-2-2-2-3-3-2-2-3-2-2-2\/","url_meta":{"origin":1705,"position":0},"title":"#303 Stress calculations in QUAD elements (Gaussian points and nodal points): Elemental stress, Nodal stress","author":"gantovnik","date":"2022-10-10","format":false,"excerpt":"For QUAD elements with shapes deviating significantly from perfect rectangle stresses are indeed most realistic at Gauss points. The primary purpose of using Gauss integration points is numerical integration. These points are chosen so that the results for a particular numerical integration scheme are the most accurate. (the Gauss Quadrature\u2026","rel":"","context":"In &quot;fem&quot;","block_context":{"text":"fem","link":"https:\/\/gantovnik.com\/bio-tips\/category\/fem\/"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2022\/10\/ex303_2.png?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2022\/10\/ex303_2.png?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2022\/10\/ex303_2.png?resize=525%2C300&ssl=1 1.5x, https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2022\/10\/ex303_2.png?resize=700%2C400&ssl=1 2x"},"classes":[]},{"id":673,"url":"https:\/\/gantovnik.com\/bio-tips\/2020\/09\/115-rbe3-vs-rbe2\/","url_meta":{"origin":1705,"position":1},"title":"#115 Nastran Tips: When to Use RBE2 vs. RBE3 Elements","author":"gantovnik","date":"2020-09-28","format":false,"excerpt":"#115: RBE3 and RBE2 RBE2 (Rigid Body Element Type 2): Represents an infinitely stiff connection. All connected nodes (slave nodes) follow the exact same translations and rotations as the master node. There is no relative motion between the master and slave nodes. Commonly used for rigid body constraints, fixtures, or\u2026","rel":"","context":"In &quot;nastran&quot;","block_context":{"text":"nastran","link":"https:\/\/gantovnik.com\/bio-tips\/category\/nastran\/"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":2124,"url":"https:\/\/gantovnik.com\/bio-tips\/2024\/02\/413-1d-elements-in-hypermesh\/","url_meta":{"origin":1705,"position":2},"title":"#413 1D elements in HyperMesh","author":"gantovnik","date":"2024-02-05","format":false,"excerpt":"Bar elements: Bar2 = Configuration 60 (1st order) elements with 2 nodes used to model axial, bending, and torsion behavior. Bar2 elements have a property reference, an orientation vector, offset vectors and ends A and B, and pin flags at ends A and B. Bar3 = Configuration 63 - 1D\u2026","rel":"","context":"In &quot;fem&quot;","block_context":{"text":"fem","link":"https:\/\/gantovnik.com\/bio-tips\/category\/fem\/"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":760,"url":"https:\/\/gantovnik.com\/bio-tips\/2020\/10\/127-create-rbe3-element-using-hypermesh-tcl\/","url_meta":{"origin":1705,"position":3},"title":"#127 Create RBE3 element using tcl in HyperMesh","author":"gantovnik","date":"2020-10-29","format":false,"excerpt":"#127 Create RBE3 element using HyperMesh tcl To create an RBE3 element with dependent node 100 and independent nodes 101,102, and 103 with all of the nodes having all six degrees of freedom and a weight of 1.23 *rbe3 mark_id independent_dofs dof_size independent_weights weight_size dependent_node dof weight mark_id: The ID\u2026","rel":"","context":"In &quot;HyperMesh&quot;","block_context":{"text":"HyperMesh","link":"https:\/\/gantovnik.com\/bio-tips\/category\/hypermesh\/"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":943,"url":"https:\/\/gantovnik.com\/bio-tips\/2021\/09\/170-gets-the-distance-of-the-given-point-from-the-nearest-line-with-ids-specified-as-arguments-in-hypermesh-tcl\/","url_meta":{"origin":1705,"position":4},"title":"#170 Gets the distance of the given point from the nearest line with IDs specified as arguments in HyperMesh tcl","author":"gantovnik","date":"2021-09-01","format":false,"excerpt":"#170 Gets the distance of the given point from the nearest line with IDs specified as arguments in HyperMesh tcl. To get closest to the point with coordinates (10, 20, 30) point on the line with ID 13: To get closest line from the set with IDs 13 14 15:\u2026","rel":"","context":"In &quot;HyperMesh&quot;","block_context":{"text":"HyperMesh","link":"https:\/\/gantovnik.com\/bio-tips\/category\/hypermesh\/"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":10486,"url":"https:\/\/gantovnik.com\/bio-tips\/2025\/09\/464-difference-between-cbush-and-cbush1d-in-hypermesh\/","url_meta":{"origin":1705,"position":5},"title":"#464 Difference Between CBUSH and CBUSH1D in HyperMesh","author":"gantovnik","date":"2025-09-30","format":false,"excerpt":"When working with connectors in HyperMesh \/ Nastran, you will often see two element types: CBUSH and CBUSH1D. While they sound similar, they serve slightly different purposes. CBUSH (General-Purpose Bushing Element) Type: 2-node element, each node has 6 DOF (12 total). Flexibility: Allows stiffness definition in all 6 directions (translation\u2026","rel":"","context":"In &quot;HyperMesh&quot;","block_context":{"text":"HyperMesh","link":"https:\/\/gantovnik.com\/bio-tips\/category\/hypermesh\/"},"img":{"alt_text":"Generated image","src":"https:\/\/sdmntpraustraliaeast.oaiusercontent.com\/files\/00000000-ebfc-61fa-8b58-b37a4b4c018b\/raw?se=2025-09-30T21%3A33%3A03Z&sp=r&sv=2024-08-04&sr=b&scid=fa3459b1-8b6d-5d9f-afff-30ef6a559619&skoid=8cb40e9f-389f-4cf6-afaa-e5bd4c7fd98c&sktid=a48cca56-e6da-484e-a814-9c849652bcb3&skt=2025-09-29T23%3A21%3A56Z&ske=2025-09-30T23%3A21%3A56Z&sks=b&skv=2024-08-04&sig=zsfkgTujIKv1NO97C10CMa7N1D5tSM2AO403bHULAqg%3D","width":350,"height":200,"srcset":"https:\/\/sdmntpraustraliaeast.oaiusercontent.com\/files\/00000000-ebfc-61fa-8b58-b37a4b4c018b\/raw?se=2025-09-30T21%3A33%3A03Z&sp=r&sv=2024-08-04&sr=b&scid=fa3459b1-8b6d-5d9f-afff-30ef6a559619&skoid=8cb40e9f-389f-4cf6-afaa-e5bd4c7fd98c&sktid=a48cca56-e6da-484e-a814-9c849652bcb3&skt=2025-09-29T23%3A21%3A56Z&ske=2025-09-30T23%3A21%3A56Z&sks=b&skv=2024-08-04&sig=zsfkgTujIKv1NO97C10CMa7N1D5tSM2AO403bHULAqg%3D 1x, https:\/\/sdmntpraustraliaeast.oaiusercontent.com\/files\/00000000-ebfc-61fa-8b58-b37a4b4c018b\/raw?se=2025-09-30T21%3A33%3A03Z&sp=r&sv=2024-08-04&sr=b&scid=fa3459b1-8b6d-5d9f-afff-30ef6a559619&skoid=8cb40e9f-389f-4cf6-afaa-e5bd4c7fd98c&sktid=a48cca56-e6da-484e-a814-9c849652bcb3&skt=2025-09-29T23%3A21%3A56Z&ske=2025-09-30T23%3A21%3A56Z&sks=b&skv=2024-08-04&sig=zsfkgTujIKv1NO97C10CMa7N1D5tSM2AO403bHULAqg%3D 1.5x, https:\/\/sdmntpraustraliaeast.oaiusercontent.com\/files\/00000000-ebfc-61fa-8b58-b37a4b4c018b\/raw?se=2025-09-30T21%3A33%3A03Z&sp=r&sv=2024-08-04&sr=b&scid=fa3459b1-8b6d-5d9f-afff-30ef6a559619&skoid=8cb40e9f-389f-4cf6-afaa-e5bd4c7fd98c&sktid=a48cca56-e6da-484e-a814-9c849652bcb3&skt=2025-09-29T23%3A21%3A56Z&ske=2025-09-30T23%3A21%3A56Z&sks=b&skv=2024-08-04&sig=zsfkgTujIKv1NO97C10CMa7N1D5tSM2AO403bHULAqg%3D 2x"},"classes":[]}],"_links":{"self":[{"href":"https:\/\/gantovnik.com\/bio-tips\/wp-json\/wp\/v2\/posts\/1705","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gantovnik.com\/bio-tips\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gantovnik.com\/bio-tips\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gantovnik.com\/bio-tips\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gantovnik.com\/bio-tips\/wp-json\/wp\/v2\/comments?post=1705"}],"version-history":[{"count":0,"href":"https:\/\/gantovnik.com\/bio-tips\/wp-json\/wp\/v2\/posts\/1705\/revisions"}],"wp:attachment":[{"href":"https:\/\/gantovnik.com\/bio-tips\/wp-json\/wp\/v2\/media?parent=1705"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gantovnik.com\/bio-tips\/wp-json\/wp\/v2\/categories?post=1705"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gantovnik.com\/bio-tips\/wp-json\/wp\/v2\/tags?post=1705"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}