Algorithm for calculating initial rigidity and plastic failure strength of variable-section metal lattice structure

A metal lattice, initial stiffness technology, applied in the direction of calculation, computer-aided design, design optimization/simulation, etc., can solve problems such as inability to predict initial stiffness and plastic failure strength, hindering structural mechanical properties, inapplicability, etc.

Active Publication Date: 2018-05-15
CHONGQING UNIV
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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 stru

Method used

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  • Algorithm for calculating initial rigidity and plastic failure strength of variable-section metal lattice structure
  • Algorithm for calculating initial rigidity and plastic failure strength of variable-section metal lattice structure
  • Algorithm for calculating initial rigidity and plastic failure strength of variable-section metal lattice structure

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Embodiment Construction

[0045] 1. Structural design of variable section rods

[0046] Select the unit cell as a cube whose side length is L to calculate the initial stiffness and plastic failure strength of the BCC variable-section lattice structure, as shown in figure 1 shown. The size of all the rods in the unit cell is the same. In this paper, the rod l S7S9 to analyze. figure 2 It is a schematic diagram of the cross-sectional size of the variable density rod. The variable density rod controls the uniform change of the radius through an arc line with a radius of R and a span of the rod length l. The expression of the arc radius R can be obtained through the geometric relationship:

[0047]

[0048] in,

[0049] Take the midpoint of one end face of the variable density rod as the origin, and the axial and transverse directions are respectively the x and y axes to establish Figure 4 The plane coordinate system shown is oxy, then the coordinate value of point M of the arc center is (l / 2, -...

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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, ...

Claims

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Application Information

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IPC IPC(8): G06F17/50
CPCG06F30/20G06F2119/06
Inventor 柏龙易长炎陈晓红张俊芳陈锐
Owner CHONGQING UNIV
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