Normalized Coordinate Equations and an Energy Method for Predicting Natural Curved-Fold Configurations
Normalized Coordinate Equations and an Energy Method for Predicting Natural Curved-Fold Configurations
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DOI：
10.1115/1.4043285
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发表时间：
2019-04
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影响因子：
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通讯作者：
J. Badger;T. Nelson;R. Lang;D. Halverson;L. Howell
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文献类型：
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作者：
J. Badger;T. Nelson;R. Lang;D. Halverson;L. Howell
在弯曲褶皱可能呈现的许多有效构型中，确定物理模型优先呈现的自然构型或最低能量构型是特别有意义的。我们提出了规范化的坐标方程方程，涉及折叠表面的属性，他们的回归边缘，以简化弯曲折叠的关系。基于这些归一化坐标方程，提出了一种能量法来识别一般弯曲褶皱的自然形态。虽然已经注意到，自然的配置有近平面折痕的弯曲折叠，我们表明，折痕端附近的非平面行为大大降低了折叠的能量。
Of the many valid configurations that a curved fold may assume, it is of particular interest to identify natural—or lowest energy—configurations that physical models will preferentially assume. We present normalized coordinate equations—equations that relate fold surface properties to their edge of regression—to simplify curved-fold relationships. An energy method based on these normalized coordinate equations is developed to identify natural configurations of general curved folds. While it has been noted that natural configurations have nearly planar creases for curved folds, we show that nonplanar behavior near the crease ends substantially reduces the energy of a fold.