Multiobjective Topology Optimization of Spatial‐Structure Joints

Abstract

To realize the static and dynamic multiobjective topology optimization of joints in spatial structures, structural topology optimization is carried out to maximize the stiffness under static multiload conditions and maximize the first third-order dynamic natural frequencies. According to the single-objective optimization results, the objective function of the multiobjective topology optimization of joints is established by using the compromise programming method, and the weight coefficient of each static load condition is determined by using the analytic hierarchy process. Subsequently, under the constraint of the volume fraction, the multiobjective topology optimization of joints is realized by minimizing the multiobjective function. Finally, the optimized structure is smoothed to obtain a smoother joint, and its mechanical properties are compared with those of the hollow ball joint. The results indicate that the multiobjective topology optimization that considers the static stiffness and dynamic frequency can effectively improve the mechanical properties of the structure. Through the research on multiobjective topology optimization, a new type of spatial joint with reasonable stress, a novel form, and aesthetic shape can be obtained, which mitigates the shortcomings of single-objective topology optimization. In comparison to hollow spherical joints with the same weight, topology-optimized joints have a superior ability to resist deformation and improve low-order frequency, which verifies the feasibility of applying multiobjective topology optimization to the lightweight design of joints.

Dynamic and Static Multiobjective Topology Optimization for Gears of Directional Drill Transmission System

“…Terefore, the prerequisite is to ensure the consistency of the pairing matrix. If the consistency requirements are not met, the pairing matrix needs to be reestablished [28]. Te consistency ratio (CR) can be used to judge the consistency degree of each pairing matrix [29].…”

Optimizing topology and utilizing 3D printing for three-branch connections in tree-inspired structures

“…"Biomimicry in Architecture: Learning from Nature's Designs" by Zhu N and Liu J. (2021) [3] delve into the concept of biomimicry in architectural design, particularly examining how natural structures like trees can inspire efficient and sustainable building designs. This study includes case studies of buildings that have successfully integrated biomimetic designs.…”

Research on a lightweight unmanned sightseeing vehicle frame based on multi-condition and multi-objective optimization

“…Calculate the consistency ratio. The consistency ratio (CR) is used to determine whether the decision matrix meets the consistency principle 5 to ensure the consistency of the established decision matrix. If the decision matrix is inconsistent, it must be re-established.…”

“…3 In a study of structural topology optimization, Zhong et al 4 adopted a genetic algorithm to optimize the multi-objective topology and size of a bus body frame, reducing the optimized frame mass by 97.9 kg. Zhu et al 5 established a multi-objective topological optimization mathematical model of spatial-structure joints by using the compromise programming method under the constraints of each static load condition to realize a lightweight design. Zhao et al 6 carried out a multi-objective topological optimization design for an automobile powertrain mounting bracket considering various static and dynamic working conditions.…”