Optimization method of stamping based on space mapping of response function

Abstract

The invention relates to an optimization method of stamping based on space mapping of a response function. The method comprises the following steps: (1) establishing fine and rough finite element models of a forming system to be optimized; (2) preliminarily establishing an initial space mapping relation Pr between the fine and rough finite element models; (3) determining an initial solution in a response space of the fine finite element model at random, and determining a corresponding response in the rough finite element model through the space mapping relation Pr; (4) entering into an iteration step: when an approximate model based on the rough finite element model meets precision requirements, obtaining an optimal solution of the rough finite element model through reverse; (5) using the optimal solution of the rough finite element model as the initial solution of the fine finite element model to obtain corresponding yf; and (6) when the approximate model based on the rough finite element model meets conditions of convergence, finishing the iteration step to obtain an optimized result, and using the fine finite element model to check the calculation result. The invention has a simple principle, can ensure solution precision and can improve the efficiency of an approximate model optimization algorithm in a large scale.

Description

technical field The invention mainly relates to the field of sheet metal stamping process design, in particular to a space mapping theory based on response space, an approximate model structure and an optimization method for constructing sheet metal forming process design. Background technique The sheet metal forming process is a highly nonlinear problem including geometric nonlinearity, material nonlinearity, and boundary nonlinearity, and the deformation mechanism is very complicated. At present, sheet metal stamping forming technology is widely used in various fields of industry, such as aerospace, motorcycles, household appliances, automobiles and many other industries, especially the automobile industry. In the optimization process of sheet metal forming, the traditional optimization method must first determine the derivability of the objective function, which strictly limits the scope of the problem, so the traditional optimization method based on the gradient is no lo...

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Problems solved by technology

Its main disadvantages are: it is difficult to determine the corresponding value in the rough space according to the design parameter value based on the fine finite element model; the interval and number of disturbance points are difficult to control, and if the interval is too large, it will affect the optimization solution efficiency; otherwise, it will lead to accurate The corresponding rough solution cannot be found; for high-dimensional problems, as the design space expands, the disturbance area will also expand, and the difficulty of solving increases exponentially, and it is even difficult to converge

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