Ameliorated Chameleon Algorithm-Based Shape Optimization of Disk Wang-Ball Curves.

IF 3.9 3区医学 Q1 ENGINEERING, MULTIDISCIPLINARY Biomimetics Pub Date : 2024-12-24 DOI:10.3390/biomimetics10010003

Yan Liang, Rui Yang, Xianzhi Hu, Gang Hu

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Abstract

The shape design and optimization of complex disk curves is a crucial and intractable technique in computer-aided design and manufacturing (CAD/CAM). Based on disk Wang-Ball (DWB) curves, this paper defines a novel combined disk Wang-Ball (CDWB) curve with constrained parameters and investigates the shape optimization of CDWB curves by using the multi-strategy ameliorated chameleon swarm algorithm (MCSA). Firstly, in order to meet the various shape design requirements, the CDWB curves consisting of n DWB curves are defined, and the G¹ and G² geometric continuity conditions for the curves are derived. Secondly, the shape optimization of CDWB curves is considered as a minimization problem with curve energy as the objective, and an optimization model is developed under the constraints of the splicing conditions. Finally, the meta-heuristic algorithm MCSA is introduced to solve the established optimization model to obtain the minimum energy value, and its performance is verified by comparison with other algorithms. The results of representative numerical examples confirm the effectiveness and competitiveness of the MCSA for the CDWB curve shape optimization problems.

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基于改进变色龙算法的圆盘王球曲线形状优化。

复杂圆盘曲线的形状设计与优化是计算机辅助设计与制造（CAD/CAM）中一个关键而棘手的技术。基于圆盘Wang-Ball （DWB）曲线，定义了一种具有约束参数的新型组合圆盘Wang-Ball （CDWB）曲线，并利用多策略改进变色龙群算法（MCSA）研究了CDWB曲线的形状优化问题。首先，为了满足各种形状设计要求，定义了由n条DWB曲线组成的CDWB曲线，并推导了曲线的G1和G2几何连续性条件。其次，将CDWB曲线的形状优化问题视为以曲线能量为目标的最小化问题，在拼接条件约束下建立了优化模型；最后，引入元启发式算法MCSA对所建立的优化模型进行求解，获得最小能量值，并与其他算法进行比较，验证了其性能。具有代表性的数值算例结果验证了MCSA在CDWB曲线形状优化问题中的有效性和竞争力。

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