A shear deformable beam moving along a straight path is considered as an idealization of the problem of stationary operation of a belt drive. The partial contact with a traveling surface results in the shear deformation of the beam. The tangential contact force grows near the end of the contact zone. Assuming perfect adhesion of the lower fiber of the beam to the traveling surface (no slip), we analytically demonstrate the necessity of accounting for concentrated contact forces and jump conditions, which is important for modeling the belt–pulley interaction. Along with dynamic effects, we further consider a frictional model with zones of stick and slip contact and demonstrate its convergence to the results with perfect adhesion at growing maximal friction force.

中文翻译：

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与行进面接触的剪切变形梁的稳态运动

沿着直线路径移动的剪切变形梁被认为是皮带传动静止操作问题的理想化。与行进表面的部分接触导致梁的剪切变形。切向接触力在接触区的末端附近增加。假设梁的下部纤维与行进表面完美粘附（无滑动），我们分析证明了考虑集中接触力和跳跃条件的必要性，这对于模拟皮带-皮带轮相互作用很重要。除了动态效应外，我们还进一步考虑了具有粘滞和滑移接触区域的摩擦模型，并证明了其在最大摩擦力增长时具有完美粘附力的结果的收敛性。