Looking for breakthrough ideas for innovation challenges? Try Patsnap Eureka!

Method for conducting matched point processing on multiple boundary nodes in Nurbs-base finite element method

A boundary node, finite element method technology, applied in the finite element field, can solve the problems of geometric boundary accuracy loss, etc., to achieve simple results

Inactive Publication Date: 2014-08-27
NORTHWESTERN POLYTECHNICAL UNIV
View PDF1 Cites 0 Cited by
  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

Usually, when the boundary modeled by NURBS technology is discretized, the geometric boundary can be kept exactly the same as the simulation boundary, but when multiple nodes are used to approach multiple boundary nodes, the accuracy of the geometric boundary will be lost

Method used

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
View more

Image

Smart Image Click on the blue labels to locate them in the text.
Viewing Examples
Smart Image
  • Method for conducting matched point processing on multiple boundary nodes in Nurbs-base finite element method
  • Method for conducting matched point processing on multiple boundary nodes in Nurbs-base finite element method
  • Method for conducting matched point processing on multiple boundary nodes in Nurbs-base finite element method

Examples

Experimental program
Comparison scheme
Effect test

Embodiment Construction

[0033] Describe the present invention below in conjunction with specific embodiment:

[0034] In this embodiment, the solution process of the PDE equation in the finite element processing process of a certain part three-dimensional model is taken as an example, and the problem to be solved is:

[0035] Δu=f, u∈Ω

[0036] u=g, u∈Γ 1

[0037] ▽u=H,u∈Γ 2

[0038] Its internal boundary connection condition is when u∈Γ 3 Time

[0039] The specific processing steps are:

[0040] Step 1: Discretize the solution area where there are multiple boundary nodes in the component, and perform step-up and node insertion to meet the requirements of solution accuracy. The area to which the problem to be solved belongs and the two outer boundary areas such as figure 2 As shown, the inner boundary is as image 3 shown. Perform subdivision operations such as node insertion or step-up on the problem area in the y direction, so that the discretized area meets the solution accuracy of th...

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
Login to View More

PUM

No PUM Login to View More

Abstract

The invention provides a method for conducting matched point processing on multiple boundary nodes in a Nurbs-base finite element method. A control variable determination problem on the multiple boundary nodes is converted into an optimization problem to enable a matrix equation generated after discretion to be an over-restriction matrix equation and enable a plurality of equations that the multiple boundary nodes correspond to be solved with discretion equations on other nodes, and the geometrical boundary accuracy is ensured after the discretion processing of the multiple boundary nodes is simplified.

Description

technical field [0001] The invention relates to the technical field of finite elements, in particular to a collocation processing method for multiple boundary nodes in a Nurbs-based finite element method. Background technique [0002] When constructing a three-dimensional model of a component and performing finite element analysis, the isogeometric analysis technique is often used. This technique converts the problem in the physical domain into a parameter domain for solution. If the analyzed object has multiple parts, the inner and outer boundaries of the part It can be processed by collocation method. In the process of dealing with boundary conditions in this way, some nodes with multiple control equations may be formed, which we call multiple boundary nodes, such as nodes that are both inner boundary nodes and outer boundary nodes, and belong to a Faces also belong to nodes of multiple other faces, such as figure 1 Nodes A and B shown in . [0003] If the selected coll...

Claims

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
Login to View More

Application Information

Patent Timeline
no application Login to View More
IPC IPC(8): G06F17/50
Inventor 莫蓉王文慧张洪海高瑾宇
Owner NORTHWESTERN POLYTECHNICAL UNIV
Features
  • Generate Ideas
  • Intellectual Property
  • Life Sciences
  • Materials
  • Tech Scout
Why Patsnap Eureka
  • Unparalleled Data Quality
  • Higher Quality Content
  • 60% Fewer Hallucinations
Social media
Patsnap Eureka Blog
Learn More

Browse by: Latest US Patents, China's latest patents, Technical Efficacy Thesaurus, Application Domain, Technology Topic, Popular Technical Reports.

© 2025 PatSnap. All rights reserved.Legal|Privacy policy|Modern Slavery Act Transparency Statement|Sitemap|About US| Contact US: help@patsnap.com