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Computer mechanical analysis numerical simulation method based on implicit geometric model

A technology of computer mechanics and geometric modeling, applied in CAD numerical modeling, geometric CAD, electrical digital data processing, etc., can solve the problems of ineffective mesh division method and difficult mesh element quality, and avoid high-quality boundary consistency. Effects of meshing problems

Pending Publication Date: 2021-11-09
BEIHANG UNIV
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  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

For slightly complex geometric shapes, the existing meshing methods are often ineffective, and it is also difficult to ensure the quality of the mesh units, which leads to meshing becoming a bottleneck in the realization of numerical simulation calculations

Method used

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  • Computer mechanical analysis numerical simulation method based on implicit geometric model
  • Computer mechanical analysis numerical simulation method based on implicit geometric model
  • Computer mechanical analysis numerical simulation method based on implicit geometric model

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Embodiment Construction

[0026] The technical solutions in the embodiments of the present invention will be clearly and completely described below in conjunction with the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of them. Based on the embodiments of the present invention, all other embodiments obtained by persons of ordinary skill in the art without making creative efforts belong to the protection scope of the present invention.

[0027] The invention proposes that the numerical simulation method needs to construct a numerical manifold method on a data structure of an implicit geometric model compounding multiple implicit boundaries, and establish a numerical simulation balance equation for a limited coverage system. figure 1 An example of the structure of the implicit geometric model involved in the present invention is shown in 2D form, and the structure of the three-dimens...

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Abstract

The invention discloses a computer mechanical analysis numerical simulation method based on an implicit geometric model. The computer mechanical analysis numerical simulation method can be applied to the fields of mechanical engineering, geological exploration, urban infrastructure construction and the like related to computational mechanics. According to the method, aiming at an implicit geometric model compounding a plurality of implicit boundaries, a finite coverage system is constructed by combining the thought of a numerical manifold method to establish a numerical simulation balance equation, an integral strategy aiming at an implicit expression entity space and a curved surface is designed to support calculation of a stiffness matrix, a fixed constraint matrix and an external force load in the numerical simulation balance equation, and a new numerical simulation solution is provided for the field of engineering calculation. The calculation grid of the numerical simulation method is not consistent with the boundary of the entity, the preprocessing process of boundary consistent grid division is avoided on the basis of ensuring the calculation precision, and the method has a good application prospect in the field of scientific and engineering calculation.

Description

technical field [0001] The present invention relates to the fields of computer graphics, structural mechanics analysis, numerical simulation, etc. Its purpose is to design a numerical simulation method that can be applied to computational mechanical analysis, specifically including the construction of a numerical manifold method limited coverage system, the creation of numerical simulation balance equations and Solving, calculation and analysis of the physical property field inside the model, etc. Background technique [0002] Numerical simulation is a technology that uses computer software and hardware to simulate and explain physical laws and phenomena in nature and engineering using certain methods and strategies. In recent decades, many numerical simulation techniques such as finite difference method, finite volume method, boundary element method and finite element method have emerged in the field of engineering calculation. Among them, the basic theory and method of fi...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F30/10G06F111/10G06F119/14
CPCG06F30/10G06F2111/10G06F2119/14Y02T90/00
Inventor 段忠祥杨钦李吉刚孟宪海
Owner BEIHANG UNIV