马振国.异型折叠纸盒数学模型研究[J].包装工程,2011,32(7):69-71.
MA Zhen-guo.Study on Mathematic Model of Special-shaped Folding Carton[J].Packaging Engineering,2011,32(7):69-71. |
| 异型折叠纸盒数学模型研究 |
| Study on Mathematic Model of Special-shaped Folding Carton |
| 投稿时间：2011-01-06 修订日期：2011-04-10 |
| DOI： |
| 中文关键词: 折叠纸盒 折叠角 齐次坐标 数学模型 |
| 英文关键词: folding carton folding angle homogeneous coordinates mathematic model |
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| 中文摘要: |
| 对异型折叠纸盒各体板之间的关系建立了数学模型。建立了相应三维坐标，并用齐次坐标表示各点位置，利用各点坐标与转换矩阵相乘的方法推导出了其成型角与纸盒成型后体板折叠角度之间的关系式。该数学模型为计算折叠纸盒的容积、体积和相关缓冲结构及其相关软件开发奠定了基础。 |
| 英文摘要: |
| Mathematic model of special-shaped folding carton was established, which described the relationship among body boards. The relevant 3D coordinates were established and homogeneous coordinates were applied to express the position of points. The relationship between the folding carton′s shaped angle and the body boards′ folding angle after forming was deduced by multiplying the coordinates of points and transition matrix. This mathematic model can be a foundation to calculate the carton's volume, capacity, relative cushion structure design, and interrelated software development. |
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