优化蛇在飞机上的运动。I.计算
Optimizing snake locomotion in the plane. I. Computations
摘要：
我们开发了一个数值方案，以确定哪些平面蛇运动是最佳的运动效率，在很宽的摩擦参数空间。对于大的横向摩擦系数，我们发现逆行行波是最佳的。最佳蛇偏转尺度为横向摩擦系数的-1/4次幂，与渐近分析一致。在另一个极端，零横向摩擦系数，我们提出了一个三角形的直接波是最佳的。在这两个极端之间，可以发现各种复杂的局部最优运动，其中一些可以被归类为驻波（或棘轮运动）。
英文摘要：
We develop a numerical scheme to determine which planar snake motions are optimal for locomotory efficiency, across a wide range of frictional parameter space. For a large coefficient of transverse friction, we find that retrograde traveling waves are optimal. The optimal snake deflection scales as the -1/4 power of the coefficient of transverse friction, in agreement with an asymptotic analysis. At the other extreme, zero coefficient of transverse friction, we propose a triangular direct wave which is optimal. Between these two extremes, a variety of complex, locally optimal motions are found. Some of these can be classified as standing waves (or ratcheting motions).
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
