气缸上杆的自接触
Self-contact for rods on cylinders
摘要：
本文研究了弹性杆中的自接触现象。通过选择一组特定的变量来描述杆中心线的变分设置是特别简单的：应变能是一个单一的标量变量的二阶泛函，和自接触约束被写为一个积分不等式。使用的技术从ODE理论（比较原则）和变分微积分（剪切和粘贴参数），我们充分的结构特征的约束极小。一个重要的辅助结果指出，一组自接触点是连续的，一个结果，与已知的例子，从自由杆接触问题。
英文摘要：
We study self-contact phenomena in elastic rods that are constrained to lie on a cylinder. By choosing a particular set of variables to describe the rod centerline the variational setting is made particularly simple: the strain energy is a second-order functional of a single scalar variable, and the self-contact constraint is written as an integral inequality. Using techniques from ode theory (comparison principles) and variational calculus (cut-and-paste arguments) we fully characterize the structure of constrained minimizers. An important auxiliary result states that the set of self-contact points is continuous, a result that contrasts with known examples from contact problems in free rods.
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