论文标题
在收缩物体中接触表面质心的净位移
On the net displacement of contact surface centroid in contractile bodies
论文作者
论文摘要
我们研究了具有粘性摩擦法的基质上的收缩物体的接触表面质心的运动，以及惯性力可忽略不计时。我们推断出一组足够的条件，以确保表面质心保持静止。对于线性分析和均匀的恒定粘性摩擦参数，将自动满足条件。在非线性分析中，需要其他要求：i）材料不可压缩，ii）接触中的材料点不变，iii）表面是平坦的。这些结果表明，如果接触表面保持恒定，则细长生物无法在均匀的粘性接触条件下移动。我们在数值上模拟了不符合这些条件的某些情况，例如使用非均匀或各向异性摩擦，这说明了净推进的可能策略。
We investigate the motion of the contact surface centroid for contractile bodies on substrates with a viscous friction law and when inertial forces are negligible. We deduce a set of sufficient conditions that ensure that the surface centroid remains still. The conditions are automatically satisfied for linear analysis and homogeneous constant viscous friction parameters. In non-linear analysis additional requirements are necessary: i) the material is incompressible, ii) the material points in contact do not vary, and iii) the surface is flat. These results demonstrate the inability of slender organisms to move under homogeneous viscous contact condition if the contact surface remains constant, regardless of the contractility strategy employed. We numerically simulate some situations that do not comply to these conditions, such as the use of non-homogeneous or anisotropic friction, which illustrate possible strategies for net propulsion.
