Irregular Part Nesting Problem Based on Shaking Bottle Mechanism and Minimum Potential Energy Principle
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摘要: 针对异形件排样问题,提出一种基于摇瓶机理和极小势能原理的求解算法,从力学的角度解释排样问题的基本物理意义。首先,由摇瓶子现象得到启发,初步构建排样的摇瓶子算法;由弹性力学中的极小势能原理可知,零件总是通过平移和旋转变换找到最低的重心位置,利用多边形正负梯形投影法计算排样零件的形心坐标,碰靠过程采用OBB包围盒相交测试算法,最终实现自动排样。通过船舶件排样实例验证,该原理可行,物理意义明确,能够实现异形件排样。Abstract: A solution algorithm for irregular part nesting problem was proposed based on shaking bottle mechanism and minimum potential energy principle, and basic physical meaning of the nesting problem was explained from its mechanics.Firstly, inspiring from shaking bottle phenomenon, the shaking bottle algorithm of nesting problem was set up.Then, through the minimum potential energy principle in elastic mechanics, the part always found the lowest center of gravity position through translation and rotation transformation, using the polygon positive and negative gradient projection method to calculate centroid coordinates of the part.Finally, automatic nesting was realized after accessing by use of OBB bounding box intersection test algorithm.The ship parts nesting examples show that the nesting algorithm is feasible and with clear physical meaning, and it can realize irregular part nesting.
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Key words:
- sheet metal /
- nesting /
- algorithms /
- energy conservation
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