Calculation Algorithms of Initial Stiffness and Plastic Failure Strength of Variable Section Metal Lattice Structure

Abstract

The invention discloses an algorithm for calculating the initial rigidity and plastic failure strength of a variable-section metal lattice structure. The algorithm includes the steps of s1, building aplane-coordinate system, and using the plane-coordinate system and the section size of a BCC variable-section metal lattice unit cell rod to obtain the radius expression of the section of the BCC variable-section metal lattice unit cell rod; s2, building a space coordinates system, and using the space coordinates system, the Hooke's law and a bending and compression combined deformation formula to obtain the relational expression of spatial tangential force, bending moment and spatial displacement borne by the node of the unit cell rod; s3, using the energy conservation law and the relationalexpression of spatial tangential force, bending moment and spatial displacement to obtain a quadratic equation in one unknown related to the tangential force of the node of the unit cell rod, solvingthe quadratic equation in one unknown to obtain a tangential force expression which does not contain the spatial displacement of the node, and using the tangential force expression and the relation between the tangential force at the node and axial force and the bending moment to obtain the expression of the axial force and the bending moment; s4, using the Hooke's law and the expression of the tangential force, the bending moment and the axial force to obtain the initial rigidity and plastic failure strength of the BCC variable-section metal lattice structure.

Description

technical field [0001] The present invention relates to a calculation algorithm for the initial stiffness and plastic failure strength of a new type of metal lattice structure with variable cross-section, in particular, it relates to a cross-sectional size, spatial displacement of nodes and force of a metal lattice structure with variable cross-section, combined with Hooke's law of material mechanics , functional principle, plane geometry, etc., and finally calculate the initial stiffness and plastic failure strength of the metal lattice structure with variable cross-section. Background technique [0002] At present, the research object of metal lattice structure is mainly Body-centered Cubic (BCC) lattice structure, because this kind of structure is composed of nodes and connecting rod elements between nodes, which are repeatedly arranged according to certain rules. The space truss structure is formed, so its configuration is simple and has the characteristics of isotropy, ...

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Problems solved by technology

However, the relevant mathematical model of this new type of BCC variable cross-section metal lattice structure has not been established, and its initial stiffness and plastic failure strength cannot be predicted, which hinders further optimization of the mechanical properties of the structure

However, the existing mathematical models of the initial stiffness and plastic failure strength of the BCC lattice structure are mainly aimed at the BCC lattice structure with homogeneous rods, and are not suitable for the BCC metal lattice structure with variable cross-section rods.

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