A Topology Optimization Method of Bridge Support Arm Structure under Stress Constraint

Abstract

The invention discloses a method for topology optimization of a bridge bracket structure under stress constraints. The method constructs a topology optimization model with the total volume of the bridge bracket structure as the target and the stress of the bridge bracket structure as a constraint, and is obtained by density filtering. The element density variable, using the solid isotropic microstructure / material model with a penalty factor combined with the finite element method to obtain the element node displacement; using the ε-relaxation method to obtain the stress constraint function of the element center point, and using the stress influence function method to calculate the element stress The constraint function is processed, and multiplied by the element volume to obtain the element stress constraint mixed function, and the sum of all element stress constraint mixed functions is used as the objective function of the topology optimization problem, and the topology optimization model under the stress constraint is obtained; the iterative calculation is performed until it satisfies Convergence conditions. The invention can greatly improve the solution efficiency of the stress-constrained topology optimization problem, and can effectively control the maximum stress of the bridge support arm structure.

Description

technical field [0001] The invention relates to the field of topology optimization design of bridge support arm structure, in particular to the topology optimization design method of bridge support arm structure under stress constraints. Background technique [0002] The bracket structure is an important part of the superstructure of the cantilever beam bridge. For example, the QJ-T-04 type bracket structure can be applied to the bridge when it is vertically led up, down or fixed to the beam. The traditional support arm structure has a relatively regular shape, and its structural weight is relatively large. Although it can ensure the safety of the structure, due to the large structural weight and high material consumption, its economic performance is poor. With the continuous development of science and technology, people have put forward higher requirements on the performance of products, and structural optimization has gradually become an effective tool to achieve high perf...

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Problems solved by technology

[0006] To sum up, the current research on the stress-constrained topology optimization of the support arm structure is not sufficient. The main reason is that the locality of the stress constraint cannot be effectively solved. The existing research methods have limited accuracy and parameter dependence. Therefore, it is necessary to further in-depth study

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