FOLDED DEVELOPABLES
FOLDED DEVELOPABLES
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DOI：
10.1098/rspa.1982.0126
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发表时间：
1982-01-01
期刊：
影响因子：
--
通讯作者：
DUNCAN, JL
中科院分区：
文献类型：
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作者：
DUNCAN, JP;DUNCAN, JL
平面的、不可延伸的片材可以沿着曲线折叠或折皱以产生两个连接但不同的可展开表面。确定了适用于该折叠过程的各种定理并研究了两个特殊情况。在一种情况下，折叠线在变形过程中保持平面曲线，而在另一种情况下，折叠处的二面角沿着曲线是恒定的。曲线折叠在由可展开表面组成的薄板金属结构的塌陷中自然发生。所提出的定理确定了由曲线折叠连接的成对可展开表面之间存在的运动学约束，并允许设计使用这些表面的钣金产品。这大大扩展了可通过折叠和弯曲单个不可延伸板材来制造的工程产品的范围。
A plane, inextensible sheet may be folded or creased along a curved line to produce two connected but distinct developable surfaces. Various theorems applying to this folding process are identified and two special cases investigated. In one, the fold line remains a plane curve during deformation and in the other the dihedral angle at the fold is constant along the curve. Curved-line folding occurs naturally in the collapse of thin-sheet-metal structures composed of developable surfaces. The theorems presented identify the kinematic constraint existing between pairs of developable surfaces connected by curved-line folds and permit the design of sheet-metal products that use these surfaces. This expands considerably the range of engineering products that can be made by folding and bending a single inextensible sheet.