Method for realizing linear static simulation of a structure by using a regenerated nuclear particle algorithm

Abstract

The invention discloses a method for realizing linear static simulation of a structure by using a regenerated nuclear particle algorithm, which comprises the following steps of: performing particle dispersion on a simulation geometric model according to particle density to obtain discrete particles; Selecting a correction function and a window function to construct a shape function; Constructing adisplacement field function according to the displacement and the shape function of the discrete particles in the influence domain; Carrying out boundary processing by utilizing a boundary conversionmethod; combinding A momentum equation, a geometric equation, a physical equation and boundary conditions to construct an equivalent integral weak form equation; Substituting the full-field displacement field function into an equivalent integral weak form equation for solving to obtain an equivalent internal force and external force matrix; And carrying out algebraic solution by utilizing a center difference method to obtain deformation and stress of different time steps. Compared with a finite element method, the method can greatly simplify the pretreatment process of a complex model, improves the solving precision and the solving efficiency of structure linear static simulation, and is beneficial to the design and optimization of an engineering practical problem structure.

Description

technical field [0001] The invention relates to the field of simulation calculation in computer-aided engineering, in particular to a regenerated nuclear particle algorithm to realize structural linear static simulation method. Background technique [0002] Structural statics simulation is the process of using computer programs to calculate the mechanical properties of the actual structure in the project. The results obtained from the solution can be used to check the strength and stiffness of the structure. When the relationship between the displacement and load of the structure changes linearly under the action of its actual working conditions, it is considered to be a linear problem. Currently, computer programs for linear static simulations of structures are based on the finite element method. The finite element method was developed on the basis of the variational principle in the early days, so it is widely used in various physical fields described by Laplace equation ...

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Problems solved by technology

[0003] Although the finite element method is widely used in the simulation of structural linear statics and is also very mature, due to the limitations brought by its own algorithm, technicians have been demanding breakthroughs

On the one hand, the premise of the finite element method is to use elements to discretize the structure, that is, before the program solves, the elements need to be generated. For complex geometric models, this process requires a lot of time and energy for engineers, which greatly limits the ability of engineers to solve problems. Quickly verify and iterate the structural design scheme; on the other hand, the finite element method is particularly sensitive and dependent on the grid size and quality. The efficiency will decrease significantly with the refinement of the mesh size

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