Design method and device for constructing negative Poisson's ratio of curved surface based on approximation function

Abstract

The embodiment of the invention provides a curved surface negative Poisson's ratio construction design method and device based on an approximation function, and the method comprises the steps: obtaining a function curve structure of the approximation function, constructing a negative Poisson's ratio structure based on the function curve structure, constructing an optimization target and a design variable based on the approximation function, constructing an optimization function based on the optimization target and the design variable; and calculating the optimization function through a genetic algorithm to obtain an optimal optimization target and an optimal input variable, and optimizing the negative Poisson's ratio structure based on the optimal optimization target and the optimal input variable. According to the method, the curved surface which is smoother than the traditional negative Poisson's ratio is constructed through the approximate function curved surface, and the optimal structure required by the negative Poisson's ratio approximate function curved surface in different occasions is designed through intelligent optimization of the genetic algorithm.

Description

technical field [0001] This document relates to the technical field of negative Poisson's ratio structure design, in particular to a method and device for constructing a curved surface with negative Poisson's ratio based on an approximate function. Background technique [0002] The concept of Poisson's ratio was first discovered and proposed by the French scientist Poisson, and the negative Poisson's ratio was accidentally discovered by Poderick Lakes in the experiment. The negative Poisson's ratio structure or material is also called auxetic structure or material, which refers to the material When the material is under unidirectional tension (compression), while the material produces elongation (or shortening) deformation along the load direction, it will produce elongation (or shortening) deformation in the direction perpendicular to the load. [0003] Negative Poisson's ratio materials or structures have better impact resistance and energy absorption performance than posi...

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Problems solved by technology

At present, the classic three-dimensional negative Poisson's ratio structures include hand-shaped structures, star structures, concave hexagonal structures, arrowheads, etc., which lead to difficulties in the design of innovative three-dimensional negative Poisson's ratio structures. The present invention provides a negative Poisson's ratio structure. The design method of the structure, especially related to an intelligent construction surface negative Poisson's ratio design method based on the approximation function

[0004] At present, traditional negative Poisson's ratio structures include concave structures, arrow-shaped structures, and star-shaped structures. These structures are all composed of a single straight line or curve, and cannot be formed by a unified curve; , energy absorption and other indicators are different, and the same structure type cannot be intelligently constructed according to the required indicators, so that the structure cannot be optimally utilized

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