PLANAR SLIDING WITH DRY FRICTION .1. LIMIT SURFACE AND MOMENT FUNCTION
PLANAR SLIDING WITH DRY FRICTION .1. LIMIT SURFACE AND MOMENT FUNCTION
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DOI：
10.1016/0043-1648(91)90104-3
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发表时间：
1991-03-20
期刊：
影响因子：
5
通讯作者：
PAPADOPOULOS, J
中科院分区：
文献类型：
--
作者：
GOYAL, S;RUINA, A;PAPADOPOULOS, J
我们提出了刚体与其滑动的平面之间的净摩擦力和力矩的两种几何描述。 根据经典塑性理论，极限表面是载荷空间中的表面，它限制了摩擦界面可以承受的所有可能的摩擦力和力矩的集合。 Zhukovskii 的力矩函数（N. E. Zhukovskii，全集，第 1 卷，Gostekhizdat，莫斯科，1948 年，第 339-354 页）是围绕物体瞬时旋转中心的净摩擦力矩，作为其位置的函数。 这两种描述都隐含地包含了滑动运动和摩擦载荷之间的完整关系。 虽然朱可夫斯基的力矩函数仅适用于普通的各向同性库仑摩擦，但极限表面适用于更广泛的摩擦定律，其中包括例如由无质量刚性轮介导的接触。 极限面和力矩函数都可以用来推导有关滑动刚体运动的结果。
We present two geometric descriptions of the net frictional force and moment between a rigid body and a planar surface on which it slides. The limit surface, from classical plasticity theory, is the surface in load space which bounds the set of all possible frictional forces and moments that can be sustained by the frictional interface. Zhukovskii's moment function (N. E. Zhukovskii, Collected Works, Vol. 1, Gostekhizdat, Moscow, 1948, pp. 339-354) is the net frictional moment about the body's instantaneous center of rotation as a function of its location. Both of these descriptions implicitly contain the full relation between slip motion and frictional load. While Zhukovskii's moment function applies only to ordinary isotropic Coulomb friction, the limit surface applies to a wider class of friction laws that includes, for example, contact mediated by massless rigid wheels. Both the limit surface and the moment function can be used to deduce results concerning the motion of sliding rigid bodies.