【摘要】 近年来,愈发成熟的3D打印技术拉近了模型设计与产品制造的距离.但高昂的材料费用仍是制约其发展的重要因素.因此,如何在不改变模型外观的情况下进行模型结构的优化,以此来减少模型的打印体积、降低打印成本是亟待解决的问题.针对该问题,本文提出一种基于应力分布的壳模型构造和优化算法.该算法首先基于模型的体素化表示构造距离场,提取出初始的均匀厚度壳模型.然后基于顶点的von Mises应力,自适应的向外扩张内表面,调整各部位厚度,直到达到相关约束条件.优化得到的内表面与输入的外表面围成最终的优化模型.实验结果表明,在满足外观不变、力学稳定等约束的同时,优化得到的壳模型体积为输入模型体积的17.2%～24.4%,大幅减少了模型的打印体积,有效降低了打印成本.更多还原

【Abstract】 In recent years, the mature 3 D printing technology has brought the distance between model design and product manufacturing closer. However, the high material cost is still an important factor restricting its development. Therefore,how to optimize the model structure without changing the appearance of the model, so as to reduce the printing volume of the model and cut down the printing cost is an urgent problem to be solved. For this problem, we propose a shell model construction and optimization algorithm based on stress distribution. This algorithm first constructs a distance field based on the voxel representation of the model and extracts the initial uniform thickness shell model. Then, this algorithm expands the inner surface outward adaptively, based on the von Mises stress value. The algorithm stops when the preset constraints are reached. The final optimization model is enclosed by the new inner surface and the original outer surface.Experimental results show that, the optimized shell model volume is 17.2%～24.4% of the input model volume while satisfying the constraints of appearance and mechanical stability, which reduces the printing volume greatly and lower the printing cost effectively.更多还原